Basic Information

Faculty

• 理学部

Professional Memberships

• To Present

  The Japan Society for Industrial and Applied Mathematics
• To Present

  The Mathematical Society of Japan
• To Present

  The Japan Society of Fluid Mechanics
• To Present

  Society for Industrial and Applied Mathematics

Academic Degree

• Master of Science(Kyoto University)
• Doctor of Science(Kyoto University)

Academic Resume (Graduate Schools)

• Kyoto University, Graduate School of Science, Division of Mathematics and Mathematical Science, 修了
• Kyoto University, Graduate School of Science, Division of Mathematics and Mathematical Science, 退学

Academic Resume (Undergraduate School/Majors)

• Kyoto University, Faculty of Science, 卒業

High School

• High School

  大阪星光学院高等学校

Research History

• From Jul. 2013, To Present

  Kyoto University, Liaison Center in Mathematics, Research Institute for Mathematical Sciences, Project professor
• From Apr. 2025, To Mar. 2027

  Kyoto University, Graduaate School of Scince, Center for Science Adventure and Collaborative Research Advancement, Director
• From Sep. 2019, To Dec. 2019

  Isaac Newton Institute, Simons Fellow for INI programme
• From Sep. 2008, To Mar. 2009

  The University of Sheffield, School of Applied Mathematics, Visiting Scholar
• From Oct. 2000, To Sep. 2001

  UCLA, Department of mathematics, Visiting Scholar
• From Apr. 2013, To Present

  Kyoto University, Graduate School of Science, Division of Mathematics, Professor
• From Apr. 2019, To Mar. 2025

  Japan Science and Technology Agency, PREST0, Program Officer
• From May 2020, To Mar. 2025

  RIKEN, RIKEN Advanced Institute for Computational Science, Senior Visiting Researcher
• From Nov. 2019, To Mar. 2028

  RIKEN, iTHEMS, Visiting Senior Researcher
• From Oct. 2009, To Mar. 2013

  Hokkaido University, Faculty of Science, Department of Mathematics, Professsor
• From Sep. 2007, To Mar. 2011

  Japan Science and Technology Agency, PRESTO Researcher
• From Apr. 2006, To Sep. 2009

  Hokkaido University, Faculty of Science Department of Mathematics, Associate Professor
• From Apr. 2004, To Mar. 2005

  Kyushu University, Graduate School of Mathematics, Visiting Associate Professor
• From Apr. 2003, To Mar. 2006

  Hokkaido University, Faculty of Science Department of Mathematics, 助教授
• From May 1998, To Mar. 2003

  Nagoya University, Graduate School of Mathematics, Assistant Professor
• From Apr. 1996, To Apr. 1998

  Japan Society for the Promotion of Science, Research Fellow DC1

Profile

• Profile

  My research interests are in understanding nonlinear dynamical phenomena observed in the evolutions of incompressible fluid motions; I am also intersted in interdisciplinary mathematical studies (Math. Metorology, Math. Modeling etc); I am the chief cordinator of Math Clinic Program (MACS Program) Topological fluid mechanics (Topological Flow Data Analysis) Dissipative weak solutions of the Euler equations and Turbulence theory Vortex Dynamics (Point Vortex on Closed Surface) Flow control of vortex dominated flows Singularity formation and long-time behavior of vortex dynamics Applied and Computational Complex Analysis Interdisciplinary Studies (Mathematical Meteorlogy, Math Clinic at Kyoto U)

Language of Instruction

• Japanese
• English

ID,URL

• J-Global ID

  200901066082433650

• External link

  http://www.math.kyoto-u.ac.jp/~sakajo/index.html

Website(s) (URL(s))

• http://www.math.kyoto-u.ac.jp/~sakajo
• http://www.math.kyoto-u.ac.jp/~sakajo/index-j.html

researchmap URL

• https://researchmap.jp/sakajo_takashi

Research

Research Topics, Overview of the research

• Research Topics

  My major is Applied Mathematics (Nonlinear Analysis). In particular, I am interested in understanding highly nonlinear and complex phenomena observed in the evaluations of incompressible fluid motions; I am also interested in interdisciplinary mathematical studies (Math. Meteorology, Medicals, Material Sciences, Mathematical Modeling etc); I am the chief coordinator of Math Clinic Program (MACS Program).

• Overview of the research

  The topics I am interested in are as follows.
  (1) Topological fluid mechanics (Topological Flow Data Analysis)
  (2) Dissipative weak solutions of the Euler equations and Turbulence theory
  (3) Vortex Dynamics (Point Vortex on Closed Surface)
  (4) Flow control of vortex dominated flows
  (5) Singularity formation and long-time behavior of vortex dynamics
  (6) Applied and Computational Complex Analysis
  (7) Interdisciplinary Studies (Mathematical Meteorology, Math Clinic at Kyoto U)

Research Interests

• Topological Data Analysis
• Topological Fluid Mechanics
• Interdisciplinary Mathematical Studies
• Nonlinear Analysis
• Numerical Analysis
• Mathematical Fluid Dynamics

Research Areas

• Natural sciences, Applied mathematics and statistics
• Natural sciences, Basic mathematics

Papers

• C^1 Type Regularization for Point Vortices on \(\mathbb S^2\)

  Takashi Sakajo; Changjun Zou

  SIAM Journal on Mathematical Analysis, 13 May 2026, Lead author

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• Computational Extraction of Topological Vortex Structures from Echocardiography Blood Flow Data

  Benjamin Dyer; Keiichi Itatani; Takeshi Matsumoto; Takashi Sakajo

  Journal of the Physical Society of Japan, 15 Feb. 2026, Peer-reviewed, Last author, Corresponding author

  
• Steady Vortex Patches on Flat Torus with a Constant Background Vorticity

  Takashi Sakajo; Changjun Zou

  Journal of Nonlinear Science, 20 Jan. 2026, Peer-reviewed, Lead author

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• Regularization for point vortices on S^2

  Takashi Sakajo; Changjun Zou

  Nonlinearity, 26 Nov. 2025, Peer-reviewed, Lead author

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• Algorithms of Topological Flow Data Analysis for Hamiltonian Flows with Doubly Periodic Boundary Conditions

  N. Sakai; M. Nagai; H. Nakamura; T. Sakajo; T. Yokoyama; T. Uda

  Trans. Japan Soc. Indust. Appl. Math., 2025, Peer-reviewed, Corresponding author

  
• Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains

  Mitsuaki Kimura; Takeshi Matsumoto; Takashi Sakajo; Hiroshi Takeuchi; Tomoo Yokoyama

  Physica D: Nonlinear Phenomena, Apr. 2026, Peer-reviewed, Corresponding author

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• A Novel Assessment of Anthracycline-induced Cardiotoxicity: Topological Flow Data Analysis in Childhood Cancer Survivors

  Tatsuki Nishiyama; Ken Takahashi; Yusuke Akatsuka; Hirohisa Kago; Azusa Akiya; Yu Hosono; Sachie Shigemitsu; Akinori Yaguchi; Osamu Tomita; Junya Fujimura; Masahiro Saito; Keiichi Itatani; Takashi Sakajo; Hiromichi Shoji

  American Journal of Physiology-Heart and Circulatory Physiology, 02 May 2025, Peer-reviewed

  
• Uniform Error Bounds of the Ensemble Transform Kalman Filter for Chaotic Dynamics with Multiplicative Covariance Inflation

  Kota Takeda; Takashi Sakajo

  SIAM/ASA Journal on Uncertainty Quantification, 11 Nov. 2024, Peer-reviewed

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• Tree representations of streamline topologies of structurally stable 2D incompressible flows

  Takashi Sakajo; Tomoo Yokoyama

  IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 22 May 2018

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• Defect pairs in nematic cell alignment on doubly connected domains

  Hiroki Miyazako; Takashi Sakajo

  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 13 Jun. 2024, Peer-reviewed, Last author, Corresponding author

  
• Applied and computational complex analysis in the study of nonlinear phenomena

  Bartosz Protas; Stefan G. Llewellyn Smith; Takashi Sakajo

  Physica D: Nonlinear Phenomena, Apr. 2024, Peer-reviewed, Invited

  
• Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds

  Kota Takeda; Takashi Sakajo

  SIAM Journal on Numerical Analysis, 07 Dec. 2023, Peer-reviewed

  
• Topological Identification of Vortical Flow Structures in the Left Ventricle of the Heart

  Takashi Sakajo; Keiichi Itatani

  SIAM Journal on Imaging Sciences, 11 Aug. 2023, Peer-reviewed, Lead author, Last author, Corresponding author

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• Statistical laws of a one-dimensional model of turbulent flows subject to an external random force

  Yuta Tsuji; Takashi Sakajo

  Nonlinearity, 29 Jun. 2023, Peer-reviewed, Last author, Corresponding author

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• The vortex problem in a doubly periodic rectangular domain with constant background vorticity

  Vikas S. Krishnamurthy; Takashi Sakajo

  Physica D: Nonlinear Phenomena, Jun. 2023, Peer-reviewed, Invited

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• Singular solutions of nonlinear hydrodynamic equations arising in turbulence theory

  Takashi Sakajo

  Sugaku Expositions, 20 Apr. 2023, Lead author, Last author, Corresponding author

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• Discrete representations of orbit structures of flows for topological data analysis

  Takashi Sakajo; Tomoo Yokoyama

  Discrete Mathematics, Algorithms and Applications, 28 Sep. 2022, Peer-reviewed, Lead author

  
• Identification of Kuroshio meanderings south of Japan via a topological data analysis for sea surface height

  Takashi Sakajo; Shun Ohishi; Tomoki Uda

  Journal of Oceanography, 31 Jul. 2022, Peer-reviewed, Lead author, Corresponding author

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• Quantized point vortex equilibria in a one-way interaction model with a Liouville-type background vorticity on a curved torus

  Takashi Sakajo; Vikas S. Krishnamurthy

  Journal of Mathematical Physics, 01 Jun. 2022, Peer-reviewed, Lead author, Corresponding author

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• Finite rotating and translating vortex sheets

  Bartosz Protas; Stefan G. Llewellyn Smith; Takashi Sakajo

  Journal of Fluid Mechanics, 25 Sep. 2021, Peer-reviewed

  
• Correction to ‘Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus’

  Takashi Sakajo

  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Aug. 2021, Peer-reviewed, Lead author, Corresponding author

  
• Vortex crystals on the surface of a torus

  Takashi Sakajo

  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 18 Nov. 2019, Peer-reviewed, Lead author, Corresponding author

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• Book Review: T. Kaczynski, K. Mischaikow, M. Mrozek, Computational Homology, Springer Verlag, NY, 2004

  Sakajo Takashi

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2005, Invited, Lead author, Corresponding author

  
• Identification of Atmospheric Blocking with Morphological Type by Topological Flow Data Analysis

  Tomoki UDA; Takashi SAKAJO; Masaru INATSU; Kazuki KOGA

  Journal of the Meteorological Society of Japan. Ser. II, 2021, Peer-reviewed, Corresponding author

  
• A homological approach to a mathematical definition of pulmonary fibrosis and emphysema on computed tomography.

  Naoya Tanabe; Shizuo Kaji; Susumu Sato; Tomoo Yokoyama; Tsuyoshi Oguma; Kiminobu Tanizawa; Tomohiro Handa; Takashi Sakajo; Toyohiro Hirai

  Journal of applied physiology (Bethesda, Md. : 1985), 01 Aug. 2021, Peer-reviewed

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• Vortex dynamics on the surface of a torus: a review

  Takashi Sakajo

  RIMS Proceedings, Jul. 2020, Lead author, Last author, Corresponding author

  
• Rotating equilibria of vortex sheets

  Bartosz Protas; Takashi Sakajo

  Physica D: Nonlinear Phenomena, Feb. 2020, Peer-reviewed

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• Algorithms converting streamline topologies for 2D Hamiltonian vector fields using Reeb graphs and persistent homology

  Tomoki Uda; Tomoo Yokoyama; Takashi Sakajo

  日本応用数理学会論文誌, 2019, Peer-reviewed, Last author

  
• 乱流の数理をめぐる流体方程式の特異解

  坂上 貴之

  数学, 2019, Peer-reviewed, Lead author, Corresponding author

  
• Exact solution to a modified Liouville equation with Stuart vortex distribution on the surface of a torus

  SAKAJO Takashi

  Proc. Roy. Soc. A, 2019, Peer-reviewed, Lead author, Corresponding author

  
• Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincaré Models

  Takeshi Gotoda; Takashi Sakajo

  SIAM Journal on Applied Mathematics, Jan. 2018, Peer-reviewed, Last author

  
• Tree representation of topological streamline patterns of structurally stable 2D Hamiltonian vector fields in multiply conected domains,

  T. Sakajo; T. Yokoyam

  The IMA Journal of Applied Mathematics, 2018, Peer-reviewed, Lead author, Corresponding author

  
• Stability of batotropic vortex strip on a rotating sphere

  S.-I. Sohn; T. Sakajo; S.-C. Kim

  Proc. Roy. Soc. A, 2018, Peer-reviewed

  
• Toroidal geometry stabilizing a latitudinal ring of N point vortices on a torus

  T. Sakajo; Y. Shimizu

  J. Nonlinear Science,, 2018, Peer-reviewed, Lead author, Corresponding author

  
• Harnessing the Kelvin-Helmholtz instability: feedback stabilization of an inviscid vortex sheet

  Bartosz Protas; Takashi Sakajo

  Journal of Fluid Mechanics, 2018, Peer-reviewed, Last author

  
• Linear feedback stabilization of point-vortex equilibria near a Kasper wing

  R. Nelson; B. Protas; T. Sakajo

  JOURNAL OF FLUID MECHANICS, Sep. 2017, Peer-reviewed, Last author

  
• Distributional Enstrophy Dissipation Via the Collapse of Three Point Vortices

  Takeshi Gotoda; Takashi Sakajo

  JOURNAL OF NONLINEAR SCIENCE, Oct. 2016, Peer-reviewed, Lead author, Corresponding author

  
• Point vortex interactions on a toroidal surface

  Takashi Sakajo; Yuuki Shimizu

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Jul. 2016, Peer-reviewed, Lead author, Corresponding author

  
• One-dimensional hydrodynamic model generating a turbulent cascade

  Takeshi Matsumoto; Takashi Sakajo

  PHYSICAL REVIEW E, May 2016, Peer-reviewed

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• Enstrophy Variations in the Incompressible 2D Euler Flows and α Point Vortex System

  Takeshi Gotoda; Takashi Sakajo

  Mathematical Fluid Dynamics, Present and Future, 2016, Peer-reviewed, Corresponding author

  
• Transitions between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains

  Takashi Sakajo; Tomoo Yokoyama

  PHYSICA D-NONLINEAR PHENOMENA, Jul. 2015, Peer-reviewed, Lead author, Corresponding author

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• A fast computational method for potential flows in multiply connected coastal domains

  Mohamed M. S. Nasser; Takashi Sakajo; Ali H. M. Murid; Lee Khiy Wei

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Mar. 2015, Peer-reviewed, Corresponding author

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• Trapped vortices in multiply connected domains

  Rhodri B. Nelson; Takashi Sakajo

  FLUID DYNAMICS RESEARCH, Dec. 2014, Peer-reviewed

  
• STEADY-STATES AND TRAVELING-WAVE SOLUTIONS OF THE GENERALIZED CONSTANTIN LAX MAJDA EQUATION

  Hisashi Okamoto; Takashi Sakajo; Marcus Wunsch

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Aug. 2014, Peer-reviewed

  
• Unique encoding for streamline topologies of incompressible and inviscid flows in multiply connected domains

  T. Sakajo; Y. Sawamura; T. Yokoyama

  FLUID DYNAMICS RESEARCH, Jun. 2014, Peer-reviewed, Lead author, Corresponding author

  
• An Essay on A Statistical Theory of Turbulence

  松本 剛; 名和 範人; 坂上 貴之

  日本流体力学会誌 ながれ, 2014, Invited

  
• 二次元多重連結領域内における構造安定な非圧縮流れの文字列表現アルゴリズム

  坂上 貴之

  京都大学数理解析研究所講究録, 2014, Lead author, Corresponding author

  
• Towards a paradigm shift created by mathematics of vortex-boundary interactions

  Sakajo Takashi

  SUGAKU, 25 Jul. 2013, Invited, Lead author, Corresponding author

  
• Word representation of streamline topologies for structurally stable vortex flows in multiply connected domains

  Tomoo Yokoyama; Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Feb. 2013, Peer-reviewed, Last author, Corresponding author

  
• A computational theory for spiral point vortices in multiply connected domains with slit boundaries

  Naoki Aoyama; Takashi Sakajo; Hidehiro Tanaka

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, Peer-reviewed, Corresponding author

  
• Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse

  Takashi Sakajo

  JOURNAL OF FLUID MECHANICS, Jul. 2012, Peer-reviewed, Lead author, Corresponding author

  
• Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study

  Koji Ohkitani; Takashi Sakajo

  Nonlinearity, 01 Dec. 2010, Peer-reviewed

  
• Corrigendum: Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study

  Koji Ohkitani; Takashi Sakajo

  Nonlinearity, 01 Jul. 2012, Peer-reviewed

  
• Force-enhancing vortex equilibria for two parallel plates in uniform flow

  Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Apr. 2012, Peer-reviewed, Lead author, Corresponding author

  
• Fixed equilibria of point vortices in symmetric multiply connected domains

  Takashi Sakajo

  PHYSICA D-NONLINEAR PHENOMENA, Mar. 2012, Peer-reviewed, Lead author, Corresponding author

  
• Mathematical models for dynamics and management of algal blooms in aquatic ecosystems

  T. Amemiya; H. Serizawa; T. Sakajo; K. Itoh

  Aquatic Ecosystem Research Trends, 2012

  
• 多重連結領域の点渦力学

  坂上 貴之

  京都大学数理解析研究所講究録, 2012

  
• Point vortex equilibria and optimal packings of circles on a sphere

  Paul K. Newton; Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, May 2011, Peer-reviewed

  
• Numerical Construction of Potential Flows in Multiply Connected Channel Domains

  Takashi Sakajo; Yosuke Amaya

  COMPUTATIONAL METHODS AND FUNCTION THEORY, 2011, Peer-reviewed

  
• Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study

  Koji Ohkitani; Takashi Sakajo

  NONLINEARITY, Dec. 2010, Peer-reviewed

  
• From generation to chaotic motion of a ring configuration of vortex structures on a sphere

  Takashi Sakajo

  THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, Mar. 2010, Peer-reviewed

  
• Equation of motion for point vortices in multiply connected circular domains

  Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Aug. 2009, Peer-reviewed

  
• An extension of Draghicescu's fast tree-code algorithm to the vortex method on a sphere

  Takashi Sakajo

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Mar. 2009, Peer-reviewed

  
• Point vortex equilibria on the sphere via Brownian ratchets

  Paul K. Newton; Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Feb. 2009, Peer-reviewed

  
• 球面点渦相互作用の高速tree-codeアルゴリズム

  坂上 貴之

  京都大学数理解析研究所講究録, 2009

  
• Chaotic Motion of the N-Vortex Problem on a Sphere: I. Saddle-Centers in Two-Degree-of-Freedom Hamiltonians

  Takashi Sakajo; Kazuyuki Yagasaki

  JOURNAL OF NONLINEAR SCIENCE, Oct. 2008, Peer-reviewed

  
• On a generalization of the Constantin-Lax-Majda equation

  Hisashi Okamoto; Takashi Sakajo; Marcus Wunsch

  NONLINEARITY, Oct. 2008, Peer-reviewed

  
• Chaotic motion of the N-vortex problem on a sphere: II. Saddle centers in three-degree-of-freedom Hamiltonians

  Takashi Sakajo; Kazuyuki Yagasaki

  PHYSICA D-NONLINEAR PHENOMENA, Aug. 2008, Peer-reviewed

  
• Non-self-similar, partial, and robust collapse of four point vortices on a sphere

  Takashi Sakajo

  PHYSICAL REVIEW E, Jul. 2008, Peer-reviewed

  
• The N-vortex problem on a rotating sphere. III. Ring configurations coupled to a background field

  Paul K. Newton; Takashi Sakajo

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Apr. 2007, Peer-reviewed

  
• Integrable four-vortex motion on sphere with zero moment of vorticity

  Takashi Sakajo

  PHYSICS OF FLUIDS, Jan. 2007, Peer-reviewed

  
• Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices (vol 217, pg 142, 2006)

  Takashi Sakajo

  PHYSICA D-NONLINEAR PHENOMENA, Jan. 2007, Peer-reviewed

  
• Numerical study of De Gregorio's model for the 3-D vorticity equation

  SAKAJO Takashi

  Transactions of the Japan Society for Industrial and Applied Mathematics, 2007, Peer-reviewed

  
• Structure of invariant dynamical systems embedded in the N-vortex motion on sphere with pole vortices

  Sakajo Takashi

  RIMS Kokyuroku, 2007

  
• Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices

  Takashi Sakajo

  PHYSICA D-NONLINEAR PHENOMENA, May 2006, Peer-reviewed

  
• Motion of unstable polygonal ring of vortex points on sphere with pole vortices

  Takashi Sakajo

  IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics, 2006

  
• High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere

  T Sakajo

  NONLINEARITY, Jan. 2006, Peer-reviewed

  
• Efficient topological chaos embedded in the blinking vortex system

  E Kin; T Sakajo

  CHAOS, Jun. 2005, Peer-reviewed

  
• An experiment of a global topological chaos by the blinking vortex system

  Mori Yoshihito; Sakajo Takashi; Kin Eiko

  RIMS Kokyuroku, 2005

  
• Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices

  T Sakajo

  PHYSICA D-NONLINEAR PHENOMENA, Sep. 2004, Peer-reviewed

  
• Motion of a vortex sheet on a sphere with pole vortices

  T Sakajo

  PHYSICS OF FLUIDS, Mar. 2004, Peer-reviewed

  
• Analytic continuation of the Birkhoff-Rott equation in complex-time domain

  T Sakajo

  EUROPEAN JOURNAL OF APPLIED MATHEMATICS, Feb. 2004, Peer-reviewed

  
• On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term

  T Sakajo

  NONLINEARITY, Jul. 2003, Peer-reviewed

  
• ３次元Navier Stokes方程式に対するある一次元モデル方程式の解の爆発について

  坂上 貴之

  京都大学数理解析研究所講究録, 2003

  
• Analytic properties of Constanin-Lax-Majda equation with a generalized viscosity term

  坂上 貴之

  京都大学数理解析研究所講究録, 2003

  
• 流体運動中の化学反応の数理の構築に向けてI～位相カオスによる効率的粒子混合～

  坂上 貴之

  京都大学数理解析研究所講究録, 2003

  
• Blow-up solutions of Constantin-Lax-Majda equation with a generalized viscosity term

  T. Sakajo

  J. Math. Sci. Univ. Tokyo, 2003, Peer-reviewed

  
• Formation of curvature singularity along vortex line in an axisymmetric, swirling vortex sheet

  T Sakajo

  PHYSICS OF FLUIDS, Aug. 2002, Peer-reviewed

  
• 軸対称渦層に現れる特異点について

  坂上 貴之

  京都大学数理解析研究所講究録, 2002

  
• Numerical computation of a three-dimensional vortex sheet in a swirl flow

  T Sakajo

  FLUID DYNAMICS RESEARCH, Jun. 2001, Peer-reviewed

  
• The motion of three point vortices on a sphere

  T Sakajo

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Oct. 1999, Peer-reviewed

  
• 渦運動に対する高速数値計算法

  坂上 貴之

  京都大学数理解析研究所講究録, 1999

  
• An application of Draghicescu's fast summation method to vortex sheet motion

  T Sakajo; H Okamoto

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Feb. 1998, Peer-reviewed

  
• The interactions of two vortex sheets

  T. Sakajo

  Adv. Math. Sci. Appl., 1998, Peer-reviewed

  
• The application of PVM to the computation of vortex sheet motion

  T. Sakajo

  RIMS Kokyuroku, 1997, Lead author, Corresponding author

  
• Numerical computation of vortex sheet roll-up in the background shear flow

  T Sakajo; H Okamoto

  FLUID DYNAMICS RESEARCH, Mar. 1996, Peer-reviewed

  
• An application of Draghicescu's fast summation method to vortex sheet

  Takashi Sakajo

  RIMS Kokyuroku, 1996, Lead author, Corresponding author

  
• Vortex blob method and its application to vortex sheet motion

  Takashi Sakajo

  RIMS Kokyuroku, 1995, Lead author, Corresponding author

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Misc.

• トポロジーで捉える心血流渦 ([特集] 医療に活きる数理の威力 )

  坂上貴之

  数学セミナー 2025年3月号, Mar. 2026, Invited, Lead author, Last author, Corresponding author

  
• 数理科学が解き明かす心疾患ー現代の「ダビンチの目」」（[特集] 病に挑むデータサイエンス)

  号

  科学 2025年4月号, Mar. 2025, Invited, Lead author, Corresponding author

  
• 「乱流現象を捉える不動点たち」（[特集] 不動点の世界)

  坂上貴之

  数理科学 2024年8月号, Jul. 2024, Lead author, Corresponding author

  
• 「数学者・物理学者からみた生成AI」（[特集] 生成AIとこれからの数学）

  坂上貴之; 橋本幸士

  数学セミナー, Jul. 2024, Invited

  
• 数学と情報のインタラクションで創る未来の社会

  坂上貴之

  数学セミナー, Apr. 2024, Invited, Lead author, Last author, Corresponding author

  
• トポロジカルフローデータ解析 ～ 「ながれのかたち」から流れ現象の理解へ ～

  坂上貴之

  数理科学2023年6月号, Jun. 2023, Peer-reviewed, Invited, Lead author, Last author, Corresponding author

  
• Fourier series capturing singular phenomena in fluid dynamics

  Takashi Sakajo

  Nagare : journal of Japan Society of Fluid Mechanics, Oct. 2022, Peer-reviewed, Invited, Lead author, Last author, Corresponding author

  
• トポロジカルフローデータ解析（TFDA）の社会的課題への適用

  横山 知郎; 坂上 貴之; 数本 優

  応用数理, 2022, Invited

  
• The numerical computation of three-dimensional vortex sheet with swirl

  SAKAJO Takashi

  年会一般講演, Jul. 1998

  
• On reduced systems of the polygonal ring of N vortex points on a sphere(New Development of Dynamical Systems with Topological and Computational Methods)

  Sakajo Takashi

  RIMS Kokyuroku, Apr. 2006

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• G331 Transition and stability of periodic solutions of polygonal N-vortex points on sphere with pole vortices

  SAKAJO Takashi

  日本流体力学会年会講演論文集, 2004

  
• Blow-up solutions of Constantin-Lax-Majda equation with a generalized viscosity term

  SAKAJO Takashi

  日本流体力学会年会講演論文集, 2002

  
• 「先端計測データのトポロジカルフローデータ解析」（特集:先端計測技術開発の展望）

  坂上貴之

  化学工業2020年7月号, Jul. 2020, Invited, Lead author, Last author, Corresponding author

  
• 流れの「かたち」解析による装置開発

  坂上貴之

  油空圧技術2020年4月号, Apr. 2020, Invited, Lead author, Last author, Corresponding author

  
• 「微分方程式論」の道しるべ（特集＝大学数学のキーポイント（後編））

  坂上 貴之

  数学セミナー5月号, Apr. 2019

  
• "Encoding 'DNA' for fluid topologies"

  SAKAJO Takashi

  Research Features, 2018

  
• 数理のクロスロード（座談会）

  坂上 貴之

  数学セミナー, Dec. 2016

  
• “名画”ナヴィエ-ストークス方程式──ある鑑賞法

  坂上 貴之

  数学セミナー, Aug. 2016

  
• A singular limit of weak solutions of 2D Euler-$\alpha$ equations (Stochastic Processes and Statistical Phenomena behind PDEs)

  Sakajo Takashi

  RIMS Kokyuroku, Jan. 2013

  
• 諸分野との協働による数理科学のフロンティア

  坂上 貴之

  （ 外50 名） 22.11.17 ～22.11.19, 2010, Peer-reviewed

  
• Chaos in the N-vortex problem on sphere

  Sakajo Takashi; Yagasaki Kazuyuki

  Proceedings, ... meeting of Japan Society of Fluid Mechanics, Aug. 2007

  

Presentations

• Topological Extraction of Vortex Structures for Blood Flows Inside a Heart

  Takashi Sakajo

  Finland-Japan Workshop in Industrial and Applied Mathematics,, 20 Jan. 2026

  
• From Fluid Patterns to Graph Dynamics: A Topological Approach to Chaotic Flows

  Takashi Sakajo

  47th Australasian Combinatorics Conference, 04 Dec. 2025

  
• 流線トポロジカルデータ解析・応用と展望〜「うつろうかたち」の数理モデリング〜

  坂上貴之

  早稲田大学 早水研究室セミナー, 29 Oct. 2025, Invited

  
• Topological Flow Data Analysis: A Topological Approach to Complex Fluid Dynamics

  Takashi Sakajo

  Department Colloquium, Stanford University, 16 Oct. 2025, Invited

  
• One-dimensional hydrodynamic PDE model of turbulent flow with the enstrophy cascade

  Takashi Sakajo

  Applied Mathematics Seminar, Stanford University, 15 Oct. 2025, Invited

  
• カオスの流れのトポロジカルダイナミクスモデリング

  坂上貴之

  日本流体力学会2025, 18 Sep. 2025

  
• カオスの流れのトポロジカルダイナミクスモデリング

  坂上貴之

  日本応用数理学会年会2025, 04 Sep. 2025

  
• Topological flow data analysis for describing vortex dynamics in flow patterns

  Takashi Sakajo

  The 2nd European Fluid Dynamics Conference (EFDC2), 29 Aug. 2025

  
• Topological Modeling for Transient Flow Dynamics and Its Application to Cardiovascular Flows

  Takashi Sakajo

  TDA Week 2025, 18 Jun. 2025, Invited

  
• Vortex and Topology: Recent topics in Topological Fluid Dynamics

  Takashi Sakajo

  Topology and Dynamics of Magneto-Vortical Matter, 21 Jan. 2025, Invited

  
• Topological Flow Data Analysis and its applications to atmospheric and ocean flows

  Takashi Sakajo

  Workshop: Vortices in flids and superfluids. Geophysics and quantum physics flows., 23 Sep. 2024, Invited

  
• Vortex crystals on closed surfaces with background vorticity

  Takash Sakajo

  Analysis Seminar at the university of Florence, 20 Sep. 2024, Invited

  
• Capturing the dynamics of topological vortex structures in the left ventricle of the heart

  Takashi Sakajo

  The 26th International Congress of Theoretical and Applied Mechanics (ICTAM2024), 26 Aug. 2024

  
• 流線トポロジカルデータ解析・応用と展望」〜「うつろうかたち」の数理モデリング〜

  坂上貴之

  京都大学理学研究科 第29回MACSコロキウム, 04 Jul. 2025, Invited

  
• 数学の基礎研究から社会実装研究へ ～TFDA解析の開発と実装

  坂上貴之

  日本数学会年会2025 数学者のためのJST CREST/さきがけ, 20 Mar. 2025, Invited

  
• 流れの情報をことばに〜流線トポロジカルデータ解析とその産業課題へ応用の試み

  坂上貴之

  日本応用数理学会ものづくり分科会講演会, 17 Dec. 2024, Invited

  
• 心臓血流の「かたち」を言葉に！〜流線トポロジカルデータ解析とその応用

  坂上貴之

  未来社会創造事業 第 3 回公開成果報告会, 09 Dec. 2024, Invited

  
• 隣接分野からMS10への参画の可能性

  坂上貴之

  第41回プラズマ・核融合学会 年会, 17 Nov. 2024, Invited

  
• 流線トポロジカルデータ解析と心血流データへの応用

  坂上貴之

  シンポジウム「データサイエンスと生命医科学研究のフロンティア」, 22 Oct. 2024, Invited

  
• 二重周期領域流れの流線トポロジカルデータ解析

  坂上貴之

  日本応用数理学会年会2024, 16 Sep. 2024

  
• One-dimensional hydrodynamic PDE model of turbulent flow with the enstrophy cascade

  Takashi Sakajo

  XLIV Dynamics Days Europe, 01 Aug. 2024, Invited

  
• 「ながれ」を言葉に：流線トポロジカルデータ解析の理論と応用

  坂上貴之

  数理工学センター（MCME）セミナー, 12 Jul. 2024, Invited

  
• One-dimensional hydrodynamic PDE model of turbulent flow with the enstrophy cascade

  Takashi Sakajo

  Equadiff2024, 13 Jun. 2024, Invited

  
• Topological Flow Data Analysis for Blood Flows Inside a Heart

  Takashi Sakajo

  Equadiff2024, 11 Jun. 2024

  
• 数学研究を企業での研究開発に活かすために〜MathClinicの紹介と今後に向けた試案〜

  坂上貴之

  C-ENGINE第11回通常社員総会特別講演会, 30 May 2024, Invited

  
• Topological Flow Data Analysis (TFDA): theory and applications

  Takashi Sakajo

  Colloquium at Indian Institute of Technology, Hyderabad, 21 Feb. 2024, Invited

  
• Analytic models of nematic cell alignment

  Takashi Sakajo

  ACCA India/Japan Workshop, 21 Feb. 2024

  
• Topological Flow Data Analysis for Blood Flows inside a Heart

  Takashi Sakajo

  GEOTOP-A International Conference -- Applications of Geometry and Topology, 08 Jan. 2024, Invited

  
• Topological Flow Data Analysis for Blood Flows Inside a Heart

  Takashi Sakajo

  76th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD2023), 21 Nov. 2023, Invited

  
• 二重周期領域上のグリーン関数と点渦力学

  坂上貴之

  日本数学会秋季分科会, 23 Sep. 2023

  
• ランダム偏微分方程式で記述される一次元乱流モデルの統計則

  坂上貴之

  日本数学会秋季分科会, 23 Sep. 2023

  
• Interdisciplinary research using Topological Flow Data Analysis through Math Clinic

  Takashi Sakajo

  ICIAM2023 MS:Frontiers of Collaboration with Industry: Succeeding through Failure, 23 Aug. 2023

  
• A model of turbulent flows based on a random Constantin-Lax-Majda-DeGregorio equation

  Takashi Sakajo

  ICIAM2023 MS:Problems in incompressible fluid flows: Stability, Singularity, and Extreme Behavior, 21 Aug. 2023

  
• Equilibrium states of vortex points and vortex sheets

  Takashi Sakajo

  Complex analysis: techniques, applications and computations - perspevtives in 2023 (CAT04), 27 Jul. 2023, Invited

  
• One-dimensional hydrodynamic PDE model of turbulent flow with the enstrophy cascade

  Takashi Sakajo

  ANR Project Quantum Turbulence Exploration by High Performance Computating, 04 Jul. 2023, Invited

  
• 流線トポロジカルデータ解析による心臓内血流の渦構造の抽出

  坂上貴之

  北海道大学 HMMCセミナー, 13 Jul. 2023, Invited

  
• JST 未来社会創造事業「未来医療を創出する 4 次元トポロジカルデータ解析数理共通基盤」の紹介

  坂上貴之

  RIKEN iTHEMS のアウトリーチについての研究会 2023, 17 Jun. 2023

  
• Vortex crystals on the surface of a curved torus

  Takashi Sakajo

  SIAM DS23 OS:Vortex Dynamics Meets Dynamical Systems: Theory, Application and Computation, 15 May 2023

  
• 「基礎研究」としての数学研究〜JSTの研究活動から

  坂上貴之

  日本数学会年会2023, 17 Mar. 2023

  
• Generalized Constantin-Lax-Majda equation under a random forcing as a one-dimensional model of turbulence

  Takashi Sakajo

  Analysis of fluid dynamical PDEs, 15 Mar. 2023, Invited

  
• 「未来医療を創出する4 次元トポロジカルデータ解析数理共通基盤の開発」

  坂上貴之

  JST未来社会創造事業「共通基盤」領域シンポジウム, 29 Oct. 2022, Invited

  
• 流線トポロジカルデータ解析(TFDA)による心血流画像解析

  坂上貴之

  第三回京大ーハイデルベルグ大ー理研ワークショップ 医学と数理, 01 Oct. 2022, Invited

  
• Quantized point vortex equilibria with a Liouville-type background vorticity on a curved torus

  Takashi Sakajo

  MSJ Autumun Meeting 2022, 15 Sep. 2022

  
• Topological flow data analysis - theory and recent applications

  Takashi Sakajo

  UK-Japan Winter School Event: "Geometry, Stochastics and Dynamics", 13 Sep. 2022, Invited

  
• Topological Flow Data Analysis for Bllod Flows Insider a Heart

  Takashi Sakajo

  The 1st International Symposium on Aihara Moonshot Project, 06 Jun. 2022, Invited

  
• Exact solution to a Lioville equation on a curved torus and quantized point vortex equilibria

  Takashi Sakajo

  Forschungsseminar at Techinsche Universitat Dresden, 13 Dec. 2021, Invited

  
• 流体方程式に現れる有限時間爆発解

  坂上貴之

  第4回「有限時間特異性」勉強会, 11 Nov. 2021

  
• 流れのトポロジー解析による数理・産業連携〜Math Clinicを通じて〜

  坂上貴之

  経団連第三回数理活用産学連携イニシアティブ, 10 Nov. 2021, Invited

  
• 京大理学におけるMathClinicの取り組み~成果と課題」

  坂上貴之

  シンポジウム 社会課題は数理科学で解決できる！？ -試みと課題-, 26 Oct. 2021, Invited

  
• 流線トポロジカルデータ解析による大気ブロッキング現象の同定

  坂上貴之

  日本流体力学会年会2021, 23 Sep. 2021

  
• 端点を持つ有限長渦層の線形安定性と回転運動

  坂上貴之

  日本数学会2021秋季総合分科会, 16 Sep. 2021

  
• トーラス面上の反応拡散方程式のスポットダイナミクス

  坂上貴之

  日本数学会2021秋季総合分科会, 16 Sep. 2021

  
• TFDAによる大気ブロッキング現象の検出と形態分類

  坂上貴之

  日本応用数理学会年会2021, 09 Sep. 2021

  
• 「流れの「かたち」を「ことば」に！〜二次元・三次元の流れパターンをトポロジー・力学系理論・離散数学を使って分類する新技術」

  坂上貴之

  科学技術振興機構新技術説明会オンラインセミナー, 16 Jul. 2021, Invited

  
• ある渦層の相対定常解の族について

  坂上貴之

  日本数学会年会2021, 17 Mar. 2021

  
• On "quantized" vortex crystals on closed surfaces

  坂上貴之

  量子渦と非線形波動(OCAMIワークショップ), 19 Feb. 2021, Invited

  
• トポロジカルデータ解析とその流体解析への応用

  坂上貴之

  科学技術未来戦略ワークショップ「複雑な流れ現象の解明と統合的制御」, 08 Jan. 2021, Invited

  
• 諸分野と数理連携の試み

  坂上貴之

  諸科学における大規模データと統計数理モデリング」2020-ISMCRP-5005 ～「冬」 オンライン会合シリーズ～ （統計数理研究所 共同研究集会）, 11 Dec. 2020, Invited

  
• Takashi Sakajo

  Takashi Sakajo

  Americal Physical Society 73rd Annual DFD Meeting 2020, 24 Nov. 2020

  
• Vortex dynamics on the surface of a torus

  Takashi Sakajo

  Space-time topology behind formation of micro-macro magneto-vortical structure manifested by Nambu mechanics, 30 Sep. 2020, Invited

  
• トーラス面上の定常渦

  坂上貴之

  日本数学会2020年度秋季総合分科会, 25 Sep. 2020

  
• 心室内血流画像データの流れのトポロジカル分類理論とその離散表現

  坂上貴之

  京大ーハイデルベルグ大ー理研ワークショップ 医学と数学, 19 Sep. 2020

  
• 心血流エコーデータに対する流線トポロジー解析

  坂上貴之

  日本応用数理学会, 09 Sep. 2020

  
• 心血流エコー画像解析と流線位相データ解析(TFDA)の広がり

  坂上貴之

  JST未来社会創造始業ワークショップ 数理科学がドライブする未来, 03 Jun. 2020

  
• 流れの「かたち」を言葉に〜流線トポロジー解析の応用

  坂上貴之

  科学技術振興機構 新技術説明会, 13 Feb. 2020

  
• Topological Flow Data Analysis: Theory and applications（心血流のTFDA解析）

  坂上貴之

  第16回 生物数学の理論とその応用 ～生命現象の定量的理解に向けて～, 31 Jan. 2020, Invited

  
• Vortex Dynamics on Sphere - a survey

  Takashi Sakajo

  Workshop on "Mathematical Aspects of Geophysical Flows, 23 Jan. 2020, Invited

  
• トポロジカル（流線）フローデータ解析とその応用

  坂上貴之

  近畿化学協会合成部会フロー・マイクロ合成研究会 第85回研究会, 10 Jan. 2020, Invited

  
• Vortex dynamics on the surface of a torus

  Analysis Seminar, Univ Reading, 29 Nov. 2019, Invited

  
• Topological Flow Data Analysis Part 1- Theory and Applications

  Takashi Sakajo

  American Physical Society 72nd Annual DFD Meeting 2019 (APS-DFD2019), 26 Nov. 2019

  
• Topological Flow Data Analysis - Theory and Applications

  Takashi Sakajo

  Applied and Interdisciplinary Mathematics Seminar, Univ Bath, 05 Nov. 2019, Invited

  
• Vortex dynamics on the surface of a torus

  Takashi Sakajo

  Complex analysis in mathematical physics and applications, 23 Oct. 2019, Invited

  
• Topological Flow Data Analysis - Theory and Applications

  Takashi Sakajo

  Applied Math Seminar at the Univ. of Sheffield, 23 Oct. 2019

  
• トポロジカルフローデータ解析〜生命現象応用に向けて〜

  坂上貴之

  京大高等研究院- Heidelberg大学-理研iTHEMS workshop ``数理と医学'', 10 Oct. 2019, Invited

  
• Linear feedback stabilization of point vortex equilibria near a Kasper Wing

  Takashi Sakajo

  International Congress of Industrial and Applied Mathematics (ICIAM2019) Mini-symposium "Control and Estimation Problems in Fluid Mechanics and Fields", 17 Jul. 2019

  
• Vortex dynamics on the surface of a torus

  Takashi Sakajo

  International Congress of Industrial and Applied Mathematics (ICIAM2019) Mini-symposium "Geometry and topology in mass and fluid dynamics", 17 Jul. 2019

  
• Classification of Streamline Topologies for Hamiltonian vector fields and its applications to Topological Flow Data Analysis

  Takashi Sakajo

  SIAM Conference on Applied Algebraic Geometry, Minisymposium "From algebraic geometry to geometric topology: crossroads on applications", 11 Jul. 2019

  
• Vortex Dynamics on the surface of a torus

  坂上貴之

  数理研研究集会 ``流体と気体の数学解析'', 03 Jul. 2019, Invited

  
• 非粘性渦層におけるKelvin-Helmholtz不安定のフィードバック制御

  坂上貴之

  第65回理論応用力学講演会・第22回土木学会応用力学シンポジウム, 28 Jun. 2019

  
• Mathematical models of cascading phenomena in turbulence

  SAKAJO Takashi

  Workshop on Scientific Computing Across Scales: Extreme Events and Criticality in Fluid Mechanics, 18 Apr. 2019, Invited

  
• トポロジカルフローデータ解析(TFDA)とその心血流データへの応用

  坂上 貴之

  iTHEMS-AIMR連携ワークショップ「医学と数理の接するところ」, 29 Mar. 2019, Invited

  
• 非粘性渦層における Kelvin-Helmholtz 不安定のフィードバック制御

  坂上 貴之

  日本数学会年会２０１９, 17 Mar. 2019

  
• Vortex dynamics on the surface of a torus

  SAKAJO Takashi

  Applied Interdisciplinary Mathematics (AIM) Seminar, 08 Feb. 2019

  
• Classification of 2D Hamiltonian vector fields and topological flow data analysis : theory, computation and applications II

  SAKAJO Takashi

  Workshop on Applied Topology (WAT2019), 11 Jan. 2019

  
• Classification of 2D Hamiltonian vector fields and topological flow data analysis : theory, computation and applications I

  SAKAJO Takashi

  Workshop on Applied Topology (WAT2019), 08 Jan. 2019, Invited

  
• Control of vortex dominated flows through vortex dynamics

  SAKAJO Takashi

  Mathematics of Fluid Motion II: Theory and Computation, 26 Dec. 2018, Invited

  
• 非粘性保存量の特異カスケードを生成する一次元流体方程式の数理解析と数値解析

  坂上 貴之

  九州関数方程式セミナー, 30 Nov. 2018, Invited

  
• Control of vortex dominated flows through vortex dynamics

  SAKAJO Takashi

  Taiwan-Japan Joint Workshop on Numerical Analysis and Scientific Computation, 24 Nov. 2018, Invited

  
• One-dimensional Hydrodynamic PDE model for a cascading turbulent phenomenon

  SAKAJO Takashi

  Seminar on Applied Mathematics, 23 Nov. 2018

  
• One-dimensional Hydrodynamic model for turbulence with cascade and sigular solutions

  SAKAJO Takashi

  Seminar on Applied Mathematics, 03 Sep. 2018

  
• 複翼まわりの定常点渦の安定化を実現する線型フィードバック制御

  坂上 貴之

  ODE-JP 2018, 09 Jul. 2018

  
• 非粘性保存量の乱流カスケードを実現する1次元流体方程式について

  坂上 貴之

  日本数学会年会2018, 21 Mar. 2018

  
• 一次元流体モデル方程式が実現する非粘性保存量のカスケード現象

  坂上 貴之

  日本数学会年会2018, 21 Mar. 2018

  
• 一次元流体モデル方程式が実現する非粘性保存量のカスケード現象

  坂上 貴之

  量子渦と非線形波動「, 13 Jan. 2018, Invited

  
• Point vortex dynamics on a toroidal surface

  SAKAJO Takashi

  The 70th Annual Meeting of the Americal Physical Society Division of Fluid Dynamics, 21 Nov. 2017

  
• One-dimensional hydrodynamic equation generating turbulent scaling laws and self-similar singular solutions

  SAKAJO Takashi

  The 70th Annual Meeting of the Americal Physical Society Division of Fluid Dynamics, 19 Nov. 2017

  
• One-dimensional Hydrodynamic PDE Model for Turbulence with Cascade and Singular Solutions

  SAKAJO Takashi

  The 14th International Conference on Flow Dynamics, 01 Nov. 2017

  
• Stability of barotropic vortex strip on a rotating sphere

  SAKAJO Takashi

  Annual Meteting of A3 foresight program, 15 Oct. 2017, Invited

  
• 渦層の不安定性の数学とその時間発展

  坂上 貴之

  MIMS研究集会「火災における不安定性の数理」, 05 Oct. 2017, Invited

  
• One-dimensional hydrodynamics model for turbulence with cascades and singular solutions

  SAKAJO Takashi

  Seminar at Hong Kong University of Science and Technology, 25 Aug. 2017, Invited

  
• 乱流カスケードを生成する一次元偏微分方程式モデルの数学解析と数値解析

  坂上 貴之

  広島数理解析セミナー, 14 Jul. 2017

  
• Mathematical research on Micro-Pressure Waves

  SAKAJO Takashi

  Expert Exchange on Micro-Pressure Waves, 25 Jun. 2017, Invited

  
• Point vortex dynamics on the surface of a torus

  SAKAJO Takashi

  Applied Math Seminar, Tech Univ Dresden, 16 Mar. 2017, Invited

  
• Point vortex dynamics on a toroidal surface

  SAKAJO Takashi

  The 3rd ACCA-UK/JP workshop, 13 Mar. 2017, Invited

  
• Turbulence and topology: recent explorations in mathematical fluid mechanics

  SAKAJO Takashi

  QUT SMS Seminar, 10 Mar. 2017, Invited

  
• Point vortex dynamics on a toroidal surface

  SAKAJO Takashi

  ANZIAM 2017 Annual Meeting, 09 Feb. 2017, Invited

  
• 理学研究・教育とデータ同化

  坂上 貴之

  理化学研究所 iTHESデータ同化スクール, 14 Sep. 2016, Invited

  
• Words and Trees: Symbolic Classifications of Streamline Topologies for 2D Incompressible Vortex Flows

  SAKAJO Takashi

  AIMS Conference, 04 Jul. 2016, Invited

  
• Dissipative vortex collapse and time's arrow

  SAKAJO Takashi

  The 11th East Asia SIAM Conference, 21 Jun. 2016, Invited

  
• Mathematical modeling and topological characterizations for 2D incompressible flows across the Reynolds number

  SAKAJO Takashi

  A3 Mini-workshop on Soft Matter, 24 Mar. 2016, Invited

  
• Hydrodynamic one dimensional model for enstrophy-cascade turbulence

  SAKAJO Takashi

  Naruto Workshop on Vortex Dynamics, 17 Jan. 2016, Invited

  
• 二次元非圧縮流れの流線トポロジーの分類：連続流れに潜む離散構造

  坂上 貴之

  応用数学合同研究集会, 18 Dec. 2015, Invited

  
• Classification and transitions of streamline topologies of structurally stable incompressible flows

  SAKAJO Takashi

  American Physical Society 68th Annual DFD Meeting (APS-DFD2015), 24 Nov. 2015

  
• On the generalized non-viscous/viscous DeGregorio equation - singular solutions and statistical properties

  SAKAJO Takashi

  International Congress of Industrial and Applied Mathematics 2015 (ICIAM2015), 10 Aug. 2015, Invited

  
• Entrapment of force enhancing vortex equilibria in the vicinity of a Kasper Wing

  SAKAJO Takashi

  Modern Applications of Complex Variables: Modeling, Theory and Computations, 15 Jan. 2015, Invited

  
• Topics in mathematical and theoretical fluid dynamics

  SAKAJO Takashi

  1st joint conference of A3 foresight program, Mathematics of Fluid Dynamics and Material Science, 21 Nov. 2014, Invited

  
• On point vortex-alpha system and vortex collapse with enstrophy dissipation

  SAKAJO Takashi

  The 8th CREST-SBM International Conference: International Conference on Mathematical Fluid Dynamics, Present and Future, 13 Nov. 2014, Invited

  
• 多重連結領域の流体運動の数理：数値解析・数値計算の側面から

  坂上 貴之

  京都大学数理解析研究所 共同研究集会「新時代の科学技術を牽引する数値解析学」, 09 Oct. 2014

  
• 二次元非粘性・非圧縮流れの流線の位相構造の遷移

  坂上 貴之

  日本流体力学会年会2014, 15 Sep. 2014

  
• Anomalous enstrophy dissipation and 2D vortex collapse

  SAKAJO Takashi

  The 6th Euro-Japanese Workshop on Blow-up, 01 Sep. 2014, Invited

  
• 渦閉じこめの実現に向けて～二次元多重連結領域の渦力学から

  坂上 貴之

  京都大学数理解析研究所 共同研究集会「乱流研究のフロンティア」, 24 Jul. 2014, Invited

  
• Mathematical and Computational Theory for Inviscid and Incompresible Flows in Multiply Connected Domains

  SAKAJO Takashi

  2014 Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation, 05 Apr. 2014, Invited

  
• Dissipative weak solutions to Euler's equations and vortex collapse

  SAKAJO Takashi

  Fundamental Aspect of Geophysical Turbulence, 12 Mar. 2014

  
• 二次元点渦力学の数理

  坂上 貴之

  Top Runners' Lecture Collection of Science 「流体とトポロジー」, 10 Mar. 2014, Invited

  
• Anomalous enstrophy dissipation via triple collapse of 2D point vorties

  SAKAJO Takashi

  The 2nd International Conference on Mathematical Theory of Turbulence via Harmonic Analysis and Computational Fluid Dynamics, 05 Mar. 2014, Invited

  
• Mathematical theory of potential flows in multiply connected domains

  SAKAJO Takashi

  East Asian Core Doctorial Forum on Mathematics, The First Meeting, 21 Jan. 2014, Invited

  
• 乱流理論におけるオイラー方程式の散逸的弱解と点渦衝突

  坂上 貴之

  金沢大学談話会, 20 Nov. 2013

  
• Mathematical and numerical studies of vortex-boundary interactions -- theory and applications

  Northeastern Asian Symposium on Methods and Modeling for High Performance Scientific Computing, 24 Sep. 2013, JSPS

  
• 多重連結領域における構造安定な 非粘性・非圧縮流れ場の分類とその語表現

  坂上 貴之

  日本流体力学会年会2013, 12 Sep. 2013

  
• Encoding of streamline topologies for incompressible vortex flows in 2D multiply connected domains

  SAKAJO Takashi

  Pacific RIM Conference on Mathematics 2013 (The 5th CREST-SBM), 01 Jul. 2013

  
• Dissipative weak solutions of the Euler equations and vortex dynamics

  坂上 貴之

  京都大学数学教室談話会, 01 May 2013

  
• 多重連結領域における構造安定 な非粘性・非圧縮流れの流線の位相的分類とその語表現

  坂上 貴之

  日本数学会 年会, 22 Mar. 2013

  
• Streamline topologies for structurally stable vortex flows in multiply connected domains and their word representations

  SAKAJO Takashi

  IUTAM Symposium on Vortex Dynamics: formation, structure and function, 11 Mar. 2013

  
• 二次元多重連結領域における非圧縮流体の流線構造の位相分類と語表現

  坂上 貴之

  京都大学数理解析研究所 共同研究集会「生物流体力学における流れ構造の解析と役割」, 11 Nov. 2012

  
• Classification of Streamline Topologies for Structurally Stable Vortex Flows in Multiply Connected Domains

  SAKAJO Takashi

  Ninth International Conference on Flow Dynamics, 20 Sep. 2012

  
• Towards a mathematical study of offshore tsunami dynamics with vortex-boundary interactions

  T. Sakajo

  International Innovation Workshop on Off Shore Tsunami Energy Dissipation and Peak Height Alleviation, 11 Sep. 2012, Tohoku University

  
• Point Vortex Dynamics in Multiply Connected Domains -- Theory and Applications

  T. Sakajo

  4th China-Japan-Korea Conference on Numerical Mathematics, 27 Aug. 2012, 京都大学

  
• Euler-α方程式の点渦衝突によるエンストロフィー散逸

  坂上 貴之

  京都大学数理解析研究所 共同研究集会「流体と気体の数学解析」, 06 Jul. 2012

  
• α点渦系の三体衝突に よるエンストロフィー散逸

  坂上 貴之

  日本数学会年会, 28 Mar. 2012

  
• Enstrophy dissipation in Euler alpha point vortices via triple collapse

  SAKAJO Takashi

  北東解析研究集会, 17 Feb. 2012

  
• Force-enhancing vortex equilibria for two plates in uniform flow

  T. Sakajo

  NIMS Hot Topic Workshop on Fluid Dynamics: Vortex Dynamics, Biofluids and Related Fields, 13 Dec. 2011, NIMS, Korea

  
• 二次元Euler-α方程式の弱解の特異極限解とその性質について

  坂上 貴之

  京都大学数理解析研究所共同研究 「偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析」, 10 Dec. 2011

  
• Enstrophy dissipation in Euler-alpha point vortices via triple collapse

  T. Sakajo

  Emerging Topics on Differential Equations and their Applications -- Sino-Japan Conference of Young Mathematicians, 07 Dec. 2011, Nankai University, China

  
• Point vortex dynamics in multiply connected domains and its applications

  Takashi Sakajo

  International conference on fluid and gas dynamics, 24 Sep. 2011, Zhejiang Normal University, China

  
• nergy variations of a point-vortex dynamics via triple collapse

  坂上 貴之

  東北大学大学院情報科学研究科 仙台シンポジウム, 17 Aug. 2011

  
• 多重連結領域の点渦力 学とその応用

  坂上 貴之

  京都大学数理解析研究所 共同研究集会「オイラー方程式の数 理: カルマン渦列と非定常渦運動100年」, 20 Jul. 2011, Invited

  
• 多重連結領域の点渦力学

  坂上 貴之

  第40 回数値解析シンポジウム, 20 Jun. 2011, Invited

  
• 二次元多重連結領域の完全流体

  坂上 貴之

  東京大学 東大ＧＣＯＥシンポジウム：致死性不整脈の機序の解明, 15 Jun. 2011

  
• 多重連結チャネル領域における流れ関数の構成

  坂上 貴之

  日本数学会 年会, 22 Mar. 2011

  
• 点渦力学と数値等角写像による新展開

  坂上 貴之

  日本学術会議 理論応用力学連合講演会 OS「多重連結領域問題の数値解析とその周辺」, 10 Mar. 2011, Invited

  
• Point vortex dynamics in multiply connected domains"

  SAKAJO Takashi

  Far From Equilibrium Dynamics (FFED11), 07 Jan. 2011

  
• 多重連結領域の点渦力学

  坂上 貴之

  奈良女子大学 数物情報交流シンポジュム, 11 Dec. 2010, Invited

  
• 渦・境界相互作用の数理科学

  坂上 貴之

  東北大学 ワークショップ数学の展開-諸分野との連携を探 る, 27 Nov. 2010

  
• 渦・境界相互作用の数理科学

  坂上 貴之

  早稲田大学 非線型科学コロキウム, 04 Oct. 2010, Invited

  
• 渦・境界相互作用がもたらす新パラダイム

  坂上 貴之

  日本応用数理学会 2010年度年会, 06 Sep. 2010

  
• Mathematical models of anomalous enstrophy dissipation and enstrophy cascade in 2D turbulence

  SAKAJO Takashi

  Advanced Computing and Theoretical Fluid Mechanics, Invited

  
• Mathematical modeling of incompressible flows; Recent developments in applied and computational complex analysis

  SAKAJO Takashi

  Second Joint Workshop of A3 Foresight Program, Invited

  

Books and Other Publications

• 渦運動の数理的諸相

  坂上貴之

  共立出版, Mar. 2013, Not refereed

  Find Kyoto University's collection of books :

  
• 越境する数学「渦の数学が織りなす世界」

  坂上貴之

  岩波出版, 28 Feb. 2013, Not refereed

  

Industrial Property Rights

• 特願2020-013646, 流れパターンの語表現装置、語表現方法およびプログラム

  Takashi Sakajo; Kei-ichi Itatani

  
• 特願2019-139657, 有限型の流れパターンの語表現装置、語表現方法、プログラム、構造物形状の学習方法および構造物設計方法

  Sakajo Takashi; Tomoo Yokoyama

  
• 特願 WO2015JP81402, REGULAR EXPRESSION CREATION METHOD AND REGULAR EXPRESSION CREATION DEVICE OF FLOW PATTERN, AND COMPUTER-EXECUTABLE PROGRAM

  SAKAJO Takashi

  
• 特願 US201415033121, FLUID TRANSITION ROUTE ACQUISITION APPARATUS, FLUID TRANSITION ROUTE ACQUISITION METHOD, AND PROGRAM

  SAKAJO Takashi

  
• 特願2014-226532, 流れパターンの正規表現作成方法、正規表現作成装置、および、コンピュータが実行可能なプログラム

  坂上 貴之; 横山 知郎

  
• 特願 WO2014JP56811, FLUID TRANSITION ANALYSIS DEVICE, FLUID TRANSITION ANALYSIS METHOD, AND PROGRAM

  SAKAJO Takashi

  
• 特願PCT/JP2014/056811, 流体遷移分析装置、流体遷移分析方法、および、プログラム

  坂上 貴之; 横山 知郎; 石原 卓; 澤村 陽一

  
• 特開2013-230678, 特願PCT/JP2014/079512, 流体遷移経路取得装置、流体遷移経路取得方法、および、プログラム

  坂上 貴之; 横山 知郎

  
• 特願 US201314427148, METHOD FOR WORD REPRESENTATION OF FLOW PATTERN, APPARATUS FOR WORD REPRESENTATION, AND PROGRAM

  SAKAJO Takashi

  
• 特願PCT/JP2013/070939, 流れパターンの語表現方法、語表現装置、および、プログラム

  坂上貴之; 横山知郎

  
• 特願2012-203601, 流れパターンの語表現方法、語表現装置、および、プログラム

  坂上貴之; 横山知郎

  

Awards

• 2000

  日本数学会, 建部賢弘賞奨励賞
• 2000

  日本応用数理学会, JJIAM欧文誌論文賞
• 21 Dec. 2019

  Meiji Institute for Advanced Study of Mathematical Sciences, MIMS Mimura Award
• Sep. 2020

  Japan Society for Industrial and Applied Mathematics, JSIAM Paper Awards 2020
• 01 Sep. 2019

  Simons Foudation, Simons Fellow for the programme in the Isaac Newton Institute

Media Coverage

• 心臓内の『渦血流』を同定する理論を世界に先駆けて構築 ～心血流の渦のパターンを文字化し、早期に心不全を発見する可能性～

  時事メディカル, https://medical.jiji.com/topics/3164, 23 Aug. 2023, Internet

  
• 心不全早期発見につながる新理論を構築、心臓の渦血流パターン「文字化」で－京大ほか

  QLifePro 医療ニュース, 21 Aug. 2023, Internet

  
• 京大など、「渦血流」のパターンを正確に同定できる新たな数学理論を構築

  マイナビニュース TECH+, 21 Aug. 2023, Internet

  
• 渦潮、世界遺産登録を 京大院教授「渦の魅力」講演 淡路島などの団体が研修会 兵庫

  産経新聞（電子版）, 25 Jul. 2017, Paper

  
• 心臓内の渦血流パターンから新機能の評価に成功

  科学技術振興機構, 事業成果2026, https://www.jst.go.jp/seika/bt2026-15.html, 01 Jun. 2026, Internet

  
• Topological Recast of Vortex Structures in Human Heart Blood Flow

  The Physical Society of Japan, JPS Hot Topic, https://jpsht.jps.jp/article/6-008/, 26 Feb. 2026, Internet

  
• 研究成果最適展開支援プログラム（A-STEP) 産学共同ステージⅡに採択 ～ ものづくり産業における効率化による開発期間短縮とコスト低減に貢献 ～

  BIPROGY（株）,埼玉大学，富山大学, プレスリリース, https://sci.kyoto-u.ac.jp/ja/news-560, 12 Oct. 2025, Internet

  
• 数学の力で医学の真理に迫る

  医学書院, 医学界新聞 3558号, 18 Mar. 2024, Paper

  
• 「数学の力で心渦血流を言語化」

  医薬経済社, 医薬経済 ONLINE, 医工連携の実践者99）, 15 Sep. 2023, Internet

  
• 心臓内の「渦血流」を同定する理論を世界に先駆けて構築―心血流の渦のパターンを文字化し、早期に心不全を発見する可能性

  京都大学ホームページ, プレスリリース, 18 Aug. 2023, Internet

  
• 数学者は分野の壁を超えた「言葉」を創り続ける

  京都大学産学連携情報プラットフォーム, philo, 02 Aug. 2023, Internet

  
• 流れの「かたち」解析による装置開発～流線位相データ解析による効率的粉体分級装置の開発～

  京都大学, プレスリリース, 19 Sep. 2019, Internet

  

External funds: Kakenhi

• 流体遷移に対するトポロジカル早期検出数理モデルの開発

  Grant-in-Aid for JSPS Fellows

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  坂上 貴之

  From 22 Apr. 2026, To 31 Mar. 2028, Adopted

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26KF0069/
• Study of singularity of the equations of fluids and stochasticity of turbulence from the view point of vortex motion

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Nagoya University

  Yoshifumi Kimura

  From 01 Apr. 2019, To 31 Mar. 2024, Project Closed

  乱流;渦運動;渦リコネクション;流体方程式の解の特異性;オイラー方程式の正則化;流体方程式の特異性;流体方程式の正則化;量子乱流;完全流体方程式の正則化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H00641/
• Vortex dynamics on surfaces exploring new fluid phenomena brought by geometry

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  TAKASHI SAKAJO

  From 01 Apr. 2018, To 31 Mar. 2022, Project Closed

  応用数学;力学系;渦力学;流体力学;微分幾何学;トポロジー;流体方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01136/
• Mathematical analysis of the characteristic properties of nano-machines in a blood vessel

  Grant-in-Aid for Scientific Research (C)

  Okayama University

  Kiori Obuse

  From 19 Jul. 2016, To 31 Mar. 2019, Project Closed

  2次元Stokes流;数理モデリング;複素解析;数値シミュレーション;埋め込み境界法;ナノマシン;表面修飾;リポソームの形成;アミロイドへの標的性;Stokes方程式;ドラッグデリバリー;応用数学;数値計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16KT0133/
• Mathematical study of micro pressure waves for developments in modern high-speed trains

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Takashi Sakajo

  From 10 Jul. 2015, To 31 Mar. 2020, Project Closed

  応用数学;流体工学;交通計画・国土計画;関数方程式論;関数論;交通工学・国土計画;データ解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15KT0014/
• Understanding of turbulent phenomena through dissipative weak solutions to fluid equations

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Takashi Sakajo

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  応用数学;流体力学;関数方程式論;数理物理;統計力学;乱流理論;渦力学;流体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26287023/
• Construction of mathematical models for long-term forecast of atmospheric variation by climate time-series

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Takashi SAKAJO

  From 01 Apr. 2013, To 31 Mar. 2015, Project Closed

  確率微分方程式;データ同化;カオス力学系;時系列解析;対流圏;成層圏;Conley-Morse分解;時系列データ解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25610028/
• Development and Application of Topological Computation Theory for Dynamical Systems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Hiroshi Kokubu

  From 01 Apr. 2013, To 31 Mar. 2018, Project Closed

  力学系;トポロジー;計算機援用解析;時系列;気象学;位相計算;生命科学;ネットワーク

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287029/
• Study of the dynamics and anisotropy of flow structures in turbulence by large scale numerical analysis

  Grant-in-Aid for Scientific Research (A)

  Nagoya University

  Yoshifumi Kimura

  From 01 Apr. 2013, To 31 Mar. 2018, Project Closed

  乱流;大規模数値計算;渦運動;非等方乱流;流体方程式の特異性;流体の異方性;流体方程式の解の特異性;非等方性乱流;乱流の異方性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25247014/
• Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons

  Grant-in-Aid for Scientific Research (B)

  Meiji University;Osaka University

  Hayato NAWA

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  非線形偏微分方程式;確率微分方程式;乱流;非圧縮性オイラー方程式;散逸的弱解;非線形シュレーディンガー方程式;爆発解;重対数法則;オイラー方程式;超流動;非線形光学;シュレーディンガー方程式;確率解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23340030/
• Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  数学一般;応用数学;数値数学;数理モデル;応用解析;数値解析;多倍長数値計算;非適切問題解析;数値計算法;exflib;GPGPU;輸送方程式;Tricomi方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340018/
• Towards a mathematical theory of fluid turbulence via singular vortex dynamics

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Takashi SAKAJO

  From 01 Apr. 2009, To 31 Mar. 2013, Project Closed

  乱流;点渦;渦層;散逸的弱解;オイラー方程式;オイラーα方程式;点渦系;衝突解;一様等方乱流;点渦力学;α点渦系;自己相似衝突解;エンストロフィー;乱流モデル;衝突多様体;点渦統計力学;位相正則化;クゥエット流;Euler-α方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340017/
• 計算ホモロジーによる流れ場構造解析法の開発とその乱流現象への応用

  Grant-in-Aid for Exploratory Research

  Hokkaido University

  坂上 貴之

  From 01 Apr. 2007, To 31 Mar. 2009, Project Closed

  計算ホモロジー;二次元クエット流;カオス;流体力学;壁乱流;力学系理論;数理流体力学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19654014/
• Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2007, To 31 Mar. 2010, Project Closed

  応用数学;数値解析;多倍長数値計算;応用解析学;逆問題解析;非適切問題解析;高精度シミュレーション;逆Laplace変換;数値計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340022/
• Mathematical studies on fluid motions under certain conditions

  Grant-in-Aid for Scientific Research (B)

  Hiroshima University

  Tatsuyuki NAKAKI

  From 01 Apr. 2006, To 31 Mar. 2010, Project Closed

  流体;数学解析;数値解析;渦運動;多孔質媒体流;緩和振動;不安定性;自由境界問題;流体問題;渦挙動;渦形成;ハミルトン系;衝突解;弱非線形安定性;曲率不安定性;移動境界;移動境界問題、自由境界問題;渦点;渦層、渦輪、渦領域;2流体問題;滑輪の曲率不安定性;渦輪の曲率不安定性;メルニコフ解析;フラックス・フリー有限要素法;point vortex;渦輪;渦構造の不安定性;地球流体;進行波解;有限要素法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340030/
• 回転球面上渦運動の新しい高速・高精度数値計算法の開発とその数理解析

  Grant-in-Aid for Young Scientists (A)

  Hokkaido University

  坂上 貴之

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  点渦力学;地球流体力学;力学系理論;数理流体力学;高速アルゴリズム;渦法;渦運動;地球流体;力学系;Contour Method;回転流体;渦糸;不変力学系;渦領域

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17684002/
• 非均一流れ場中の反応拡散系理論の構築

  Grant-in-Aid for Exploratory Research

  Hokkaido University

  坂上 貴之

  From 01 Apr. 2005, To 31 Mar. 2007, Project Closed

  位相カオス;反応拡散系;渦運動;地球流体;渦糸系;BZ反応;非均一場

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17654018/
• A Study of Blow-up Problems and Singular Perturbation Problems arisingin Mathematical Fluid Mechanics

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Hisashi OKAMOTO

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  Navier-Stokes equations;vortex dynamics;blow-up;double exponential transform;fluid mechanics;singular perturbation;point vortex;Navier-Stokes方程式;渦糸;水面波;分岐理論;高速フーリエ変換;数値積分;差分法;Proudman-Johnson方程式, Navier-Stokes equations;vortex dynamics;blow-up;double exponential transform;fluid mechanics;singular perturbation;point vortex

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17204008/
• 反応拡散系理論と流体理論の融合により展開される新しい非線形問題の調査

  Grant-in-Aid for Scientific Research (C)

  Hokkaido University

  坂上 貴之

  From 01 Apr. 2003, To 31 Mar. 2004, Project Closed

  反応拡散系;流体運動;化学反応速度論;非線形反応

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15634004/
• Numerical and mathematical analysis to low-dimensional solutions in. mathematical fluid problems

  Grant-in-Aid for Scientific Research (B)

  HIROSHIMA UNIVERSITY;Kyushu University

  Tatuyuki NAKAKI

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  渦糸、渦点;渦輪、渦管;1、2流体問題;緩和振動;不安定性;弱非線形安定性;位相カオス;フラックスフリー有限要素法;渦糸の緩和振動;球面上の渦糸;渦輪の非線形不安定性;らせん渦;理想MHDの数値解析法;移動・自由境界問題;フラックス・フリー有限要素法;ベクトル化;渦輪の局所安定性解析;質量保存型有限要素法;数値的検証法;アダプティブメッシュ;正射影付有限要素方程式, point vortex;vortex ring, vortex tube;one- or two-phase fluid problems;relaxation oscillation;instability;weakly nonlinear stability;topological chaos;flux-free finite element method

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340034/
• CONSERVATION AND STABILITY OF DYNAMICAL SYSTEMS AND ITS NUMERICAL ANAKYSIS

  Grant-in-Aid for Scientific Research (B)

  NAGOYA UNIVERSITY

  Taketomo MITUI

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  計算科学;数値解析;力学系;安定性;保存系;離散変数法;非線形方程式;固有値解析;非線型方程式, Computational science;Numerical analysis;Dynamical systems;Stability;Conservative system;Discrete variable methods;Nonlinear equations;Eigenvalue analysis

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340029/
• 複素時間特異点解析による渦層の渦巻解の存在と一意性の理論的・数値的研究

  Grant-in-Aid for Young Scientists (B)

  Hokkaido University;Nagoya University

  坂上 貴之

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  複素特異点解析;渦層;渦糸系;力学系理論;不安定周期軌道;球面上の流れ;Blowup solutions;Vortex sheet;Flow on sphere;Singularity formation;Rolling-up spirals;Mathematical fluid dynamics;渦運動の数理;特異点;複素時間解析;解の一意性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14740069/
• Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Hisashi OKAMOTO

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  ナビエ・ストークス方程式;オイラー方程式;力学系;特異点;渦層;粒子の軌跡;反応拡散系;パルス解, Navier-Stokes equations;Euler equations;dynamical systems;singularity;vortex sheet;trajectories of fluid particles;reaction-diffusion system;pulse solutions

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14204007/
• 3次元渦運動に現れる特異点の研究

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Nagoya University

  坂上 貴之

  From 01 Apr. 1999, To 31 Mar. 2001, Project Closed

  3次元渦層;特異点;渦法;非適切性;複素時間;渦層;複素時間特異点;スパイラル解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11740059/
• Singularity analysis of complex functions for describing complex phenomena

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  坂上 貴之

  From 01 Apr. 2023, To 31 Mar. 2028, Granted

  複素解析;特異点解析;逆解析;自由境界問題;基本解解法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H00086/
• ダイナミクスの機械学習の数理解析 － リザバー計算を中心に －

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  國府 寛司

  From 01 Apr. 2023, To 31 Mar. 2028, Granted

  力学系;機械学習;リザバー計算;ダイナミクス;分岐

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H01083/
• ダイナミクスの機械学習の数理解析 － リザバー計算を中心に －

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  國府 寛司

  From 01 Apr. 2024, To 31 Mar. 2028, Granted

  力学系;機械学習;リザバー計算;ダイナミクス;分岐

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K25780/

External funds: others

• Four-Dimensional Topological Data Analysis for Future Medical Care

  Japan Science and Technology, JST-Mirai Program

  From 01 Apr. 2022, To 31 Mar. 2027

  Sakajo, Takashi

  PI
• 水圏環境力学理論の構築

  科学技術振興機構さきがけ

  From 01 Oct. 2007, To 31 Mar. 2011

  坂上貴之
• 渦・境界相互作用が創出するパラダイムシフト

  科学技術振興機構CREST

  From 01 Oct. 2012, To 31 Mar. 2016

  坂上貴之
• Comprehensive R&D　Platform for Topological Data Analysis

  科学技術振興機構未来社会創造事業

  From 15 Nov. 2018, To 31 Mar. 2022

  坂上貴之

Education

Teaching subject(s)

• From 01 Apr. 2026, To 31 Mar. 2027

  Function Theory of a Complex Variable

  N143, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Advanced Linear Algebra

  N130, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Differential Equations

  3146, Spring, Faculty of Science, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Academic Collaboration: Research Frontier on Mathematical Sciences

  1801, Spring, Faculty of Science, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Applied Mathematics D

  0559, Fall, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Applied Mathematics C

  0558, Spring, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Linear Algebra

  N130, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2025, To 31 Mar. 2026

  Differential Equations

  3146, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Academic Collaboration: Research Frontier on Mathematical Sciences

  1801, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics D

  0559, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Applied Mathematics C

  0558, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Differential Equations

  3146, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Introduction to Nonlinear Analysis

  2109, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  0458, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  0461, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  0460, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  0459, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics C

  0558, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics D

  0559, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Function Theory of a Complex Variable

  N143, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Calculus II - Differential Equations

  N125, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  0480, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  0479, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  0478, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  0481, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  0458, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  0461, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  0460, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  0459, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Academic Collaboration: Research Frontier on Mathematical Sciences

  1800, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  0459, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Numerical Analysis

  8109, Fall, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  0480, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Differential Equations

  3146, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics B

  0557, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  0479, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  0481, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  0460, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  0478, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics A

  0556, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  0458, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  0461, Fall, Graduate School of Science, 3
• From Apr. 2013, To Mar. 2014

  Development of Mathematics - from basic to advanced A

  Spring, 理学部
• From Apr. 2013, To Mar. 2014

  Advanced Analysis I

  Spring, 理学部
• From Apr. 2013, To Mar. 2014

  Calculus A

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Calculus B

  Fall, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Function Theory of a Complex Variable

  Fall, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Differential Equations

  Spring, 理学部
• From Apr. 2014, To Mar. 2015

  Numerical Analysis

  Fall, 理学部
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics D

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics A (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics B (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics C (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics D (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Calculus A

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Calculus B

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics C (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics D (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2015, To Mar. 2016

  Topics in Mathematical Sciences

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Topics in Mathematical Sciences

  Fall, 理学部
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Analysis and Complex Dynamical Systems, Advanced

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Advanced Calculus II - Differential Equations

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics A (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics B (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Analysis and Complex Dynamical Systems, Advanced

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Nonlinear Mathematics

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Differential Equations

  Spring, 理学部
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics A (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics B (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics C (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics D (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics A (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics B (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics C (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics D (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Mathematical Sciences , Advanced

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Differential Equations

  Spring, 理学部
• From Apr. 2018, To Mar. 2019

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Practical Introduction to Mathematical Software

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Introduction to Nonlinear Analysis

  Fall, 理学部
• From Apr. 2019, To Mar. 2020

  Differential Equations

  Spring, 理学部
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Quest for Mathematics II

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Practical Introduction to Mathematical Software

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2020, To Mar. 2021

  Differential Equations

  Spring, 理学部
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Practical Introduction to Mathematical Software

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Introduction to Nonlinear Analysis

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Differential Equations

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Advanced Calculus II - Differential Equations

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics a (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics b (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics c (for Advanced Mathematics Course)

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics d (for Advanced Mathematics Course)

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Forefront of Mathematics and Mathematical Science I

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Practical Introduction to Mathematical Software

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Nonlinear Mathematics

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Introduction to Nonlinear Analysis

  Fall, 理学部

Participation in PhD Defense

• Variational Analysis and Homogenization of Elastoplastic Materials in the Rate-Independent Systems Framework

  ISHIKAWA AKIRA, Graduate School of Science, Chief Examiner

  23 Mar. 2026
• On Some Invariants of Persistence Modules over Posets and Their Applications

  Enhao Liu, Graduate School of Science, Sub-chief Examiner

  24 Sep. 2025
• A Study on Reservoir Computing from the Viewpoint of Dynamical Systems

  HARA MASATO, Graduate School of Science, Sub-chief Examiner

  24 Mar. 2025
• Error Analysis of the Ensemble Square Root Filter for Dissipative Dynamical Systems

  TAKEDA KOTA, Graduate School of Science, Chief Examiner

  24 Mar. 2025
• Interval Approximations for Fully Commutative Quivers and Their Applications

  Chenguang Xu, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Limit theorems of persistence diagrams for random cubical filtrations

  MIYANAGA JUN, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2023
• Pattern Formation and Dynamics of Localized Spots of a Reaction-diffusion System on the Surface of a Torus

  WANG PENGHAO, Graduate School of Science, Chief Examiner

  23 Mar. 2022
• Percolation on crystal lattices and covering monotonicity of percolation clusters

  MIKAMI TATSUYA, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2022
• Level set numerical approach to anisotropic mean curvature flow on obstacle

  GAVHALE SIDDHARTH BALU, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2022

Student achievements: Awards

• The 20th International Conference on Flow Dynamics Best Presentation Award for Young Researcher

  Kota Takeda, Institute of Fluid Science, 20 Nov. 2023
• 日本数学会2015年度応用数学研究奨励賞

  後藤田剛, 日本数学会, Mar. 2016
• ベストポスター

  後藤田剛, 日本数学会社会連携協議会, 19 Nov. 2016
• 優秀ポスター賞

  宇田智紀, 日本応用数理学会, Sep. 2016
• EASIAM Student Paper Prize

  清水雄輝, EASIAM, 23 Jun. 2018
• 日本応用数理学会論文賞（応用部門）

  宇田智紀, 日本応用数理学会, Sep. 2020

Administration

School management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  国際高等教育院 企画評価専門委員会 数学部会
• From 01 Apr. 2025, To 31 Mar. 2027

  サイエンス連携探索センター長
• From 01 Apr. 2024, To 31 Mar. 2025

  国際高等教育院 企画評価専門委員会 数学部会
• From 01 May 2016, To 31 Mar. 2019

  国際高等教育院 企画評価専門委員会 情報学部会 委員
• From 10 Jul. 2013, To 30 Apr. 2016

  国際高等教育院 企画評価専門委員会 情報系部会 委員
• From 01 May 2017, To 31 Mar. 2019

  国際高等教育院 基盤企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2019, To 31 Mar. 2020

  国際高等教育院 基盤企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2019, To 31 Mar. 2020

  国際高等教育院 企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2020, To 31 Mar. 2021

  国際高等教育院 基盤企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2020, To 31 Mar. 2021

  国際高等教育院 企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2021, To 31 Mar. 2022

  国際高等教育院 基盤企画評価専門委員会 情報学部会 委員
• From 01 Apr. 2021, To 31 Mar. 2022

  国際高等教育院 企画評価専門委員会 情報学部会 委員

Faculty management (title, position)

• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科将来計画委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科将来計画委員会・予算委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科サイエンス連携探索センター（SACRA）運営協議会委員長
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科サイエンス連携探索センター（SACRA）企画戦略室委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 Apr. 2026, To 31 Mar. 2027

  理学研究科専攻長会議構成員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科サイエンス連携探索センター（SACRA）運営協議会委員長
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科サイエンス連携探索センター（SACRA）企画戦略室委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科 SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科 情報セキュリティ委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科 情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科専攻長会議構成員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科外部資金等による特別の講座の管理運営委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科将来計画委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科予算委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学研究科外部資金等による特別の講座の管理運営委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会　情報・統計・データ科学教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会　情報・統計・データ科学教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2025

  理学研究科サイエンス連携探索センター（SACRA）運営協議会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科情報セキュリティ委員会ネットワーク小委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科外部資金等による特別の講座の管理運営委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会　常任委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会　情報・統計・データ科学教育委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科サイエンス連携探索センター（SACRA)企画戦略室委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科SACRA学際融合部門委員会委員長
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 May 2022, To 31 Mar. 2023

  理学研究科外部資金等による特別の講座の管理運営委員会
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科将来計画委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科将来計画委員会・プロジェクトスペース委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  理学部・教育委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  理学部・教育委員会　情報教育委員会委員長
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科情報・広報委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科情報・広報委員会　ネットワーク・Ｗｅｂ管理小委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科将来計画委員会・プロジェクトスペース委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会　情報教育委員会委員長
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科情報・広報委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科情報・広報委員会　ネットワーク・Ｗｅｂ管理小委員会委員長
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科数学・数理解析専攻副専攻長
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科将来計画委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会　情報教育委員会委員長
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科情報・広報委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学研究科情報・広報委員会　ネットワーク・Ｗｅｂ管理小委員会委員長
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科将来計画委員会委員
• From 01 Apr. 2017, To 30 Apr. 2017

  理学研究科将来計画委員会・常任委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科自己点検評価委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学部・教育委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学部・教育委員会　情報教育委員会委員長
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員長
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科広報委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科広報委員会　広報小委員会委員長
• From 01 Apr. 2017, To 30 Apr. 2017

  理学研究科兼業委員会委員
• From 01 Apr. 2017, To 30 Apr. 2017

  理学研究科基金運営委員会委員
• From 17 Nov. 2016, To 31 Mar. 2019

  理学研究科SACRA-Ex運営委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科専攻長会議構成員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科数学・数理解析専攻長
• From 01 May 2016, To 30 Apr. 2018

  国際高等教育院企画評価専門委員会社会科学系部会
• From 01 Apr. 2016, To 31 Mar. 2018

  理学部・教育委員会　情報教育委員会委員長
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科兼業委員会委員
• From 01 Apr. 2017, To 31 Mar. 2019

  理学研究科基金運営委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科SACRA-Ex運営委員会委員
• From 01 May 2016, To 31 Mar. 2019

  国際高等教育院企画評価専門委員会分野別部会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学部・教育委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学部・教育委員会　情報・統計・データ科学教育委員会委員長
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 Apr. 2018, To 31 Mar. 2020

  理学研究科サイエンス連携探索センター（SACRA)運営協議会議員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科学際融合部門運営小委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会　広報小委員会委員長
• From 01 May 2016, To 31 Mar. 2020

  国際高等教育院企画評価専門委員会分野別部会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科将来計画委員会・プロジェクトスペース委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学部・教育委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学部・教育委員会　情報・統計・データ科学教育委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  特色入試実施委員会委員長
• From 01 Apr. 2019, To 31 Mar. 2021

  理学研究科サイエンス連携探索センター（SACRA)運営協議会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科サイエンス連携探索センター（SACRA)企画戦略室委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科SACRA学際融合部門委員会委員長
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科SACRA広報・社会連携部門委員会　広報小委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科将来計画委員会・プロジェクトスペース委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学部・教育委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学部・教育委員会　情報・統計・データ科学教育委員会委員長
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科サイエンス連携探索センター（SACRA)企画戦略室委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科SACRA学際融合部門委員会委員長
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科SACRA広報・社会連携部門委員会　広報小委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員長
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会　常任委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会　情報・統計・データ科学教育委員会委員長
• From 01 Apr. 2021, To 31 Mar. 2023

  理学研究科サイエンス連携探索センター（SACRA)運営協議会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科サイエンス連携探索センター（SACRA)企画戦略室委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科SACRA学際融合部門委員会委員長
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科SACRA広報・社会連携部門委員会　広報小委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科情報セキュリティ委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科情報セキュリティ委員会　ネットワーク小委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  国際高等教育院企画評価専門委員会分野別部会委員