Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 数理解析基礎講座, 教授

Professional Memberships

• 日本数学会

Academic Degree

• 理学修士(東京大学)
• 理学博士(東京大学)

Research History

• From Mar. 2012, To Present

  Kyoto University, Research Institute for Mathematical Sciences, Professor
• From Apr. 1998, To Feb. 2012

  Hokkaido University, Graduate School of Science, Department of Mathematics, Professor
• From Feb. 1994, To Mar. 1998

  Ochanomizu University, Faculty of Science Division of Mathematics, Associate Professor
• From Jan. 1991, To Jan. 1994

  Ochanomizu University, Faculty of Science, Department of Mathematics, Lecturer
• From Apr. 1988, To Jan. 1991

  Tohoku University, Faculty of Science, Department of Mathematics, Instructor

Language of Instruction

• English

ID,URL

• J-Global ID

  200901023854877192

researchmap URL

• https://researchmap.jp/Ktn3KmgsFsm

Research

Research Topics, Overview of the research

• Research Topics

  Differential Geometry and Topology, in particular, symplectic geometry

• Overview of the research

  I study the theory of holomorphic curves in symplectic manifolds and symplectic Floer theory and their applications. The results include the symplectic geometrical construction of Gromov-Witten invariants and the construction of Floer cohomology for
  periodic Hamiltonian systems, the Betti number version of the Arnold conjecture concdrning the fixed points of Hamiltonian diffeomorphissm (with Kenji Fukaya),
  the proof of the flux conjecture, which claims that the group of Hamiltonian diffeomorphisms is closed in the identity of component of the group of symplectomorphisms with respect to the C^1-topology, the foundation of the general
  framework for Floer theory of Lagrangian submanifolds (with Fukaya, Oh, Ohta), etc.

Research Interests

• 大域解析学
• 幾何学
• Global Analysis
• Geometry

Research Areas

• Natural sciences, Mathematical analysis
• Natural sciences, Geometry

Papers

• Construction of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks: II

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  Advances in Mathematics, Apr. 2024, Peer-reviewed

  
• Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds

  Bohui Chen; Kaoru Ono; Bai-Ling Wang

  Symmetry, Integrability and Geometry: Methods and Applications, 30 Jan. 2024, Peer-reviewed, Invited, Corresponding author

  
• Exponential Decay Estimates and Smoothness of the Moduli Space of Pseudoholomorphic Curves

  Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono

  Memoirs of the American Mathematical Society, Jul. 2024, Peer-reviewed

  
• Construction of a linear K-system in Hamiltonian Floer theory

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  Journal of Fixed Point Theory and Applications, Jun. 2022, Peer-reviewed, Invited

  
• Floer-Novikov cohomology and symplectic fixed points, revisited

  Hong Van Le; Kaoru Ono

  Proceedings of International Geometry Center, Dec. 2020, Peer-reviewed, Invited, Corresponding author

  
• Note on (super) heavy subsets in symplectic manifolds

  ONO, Kaoru; Sugimoto, Yoshihiro

  Proceedings of the Centre for Mathematics and its Applications, Australian National University, Apr. 2019, Peer-reviewed, Invited

  
• Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory

  FUKAYA; Kenji, OH; Yong-Geun; OHTA; HIroshi; ONO, Kaoru

  Memoirs of the American Mathematical Society, 2019, Peer-reviewed

  
• Construction of Kuranishi structures on the moduli space of pseudo holomorphic disks, I

  FUKAYA; Kenji, OH; Yong-Geun; OHTA, Hiroshi; ONO, Kaoru

  Surveys in Differential Geometry, 2018, Invited

  
• SYMPLECTIC FILLINGS OF LINKS OF QUOTIENT SURFACE SINGULARITIES (vol 207, pg 1, 2012)

  Mohan Bhupal; Kaoru Ono

  NAGOYA MATHEMATICAL JOURNAL, Mar. 2017, Peer-reviewed

  
• Antisymplectic involution and Floer cohomology

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  GEOMETRY & TOPOLOGY, 2017, Peer-reviewed

  
• Shrinking good coordinate systems associated to Kuranishi structures

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  JOURNAL OF SYMPLECTIC GEOMETRY, Dec. 2016, Peer-reviewed

  
• LAGRANGIAN FLOER THEORY AND MIRROR SYMMETRY ON COMPACT TORIC MANIFOLDS

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  ASTERISQUE, 2016, Peer-reviewed

  
• On fixed points of a Hamiltonian diffeomorphism in presence of fundamental group

  Kaoru Ono; Andrei Pajitnov

  Essays in Mathematics and its Applications in honor of Professor Vladimir Arnold, 2016, Peer-reviewed, Invited

  
• Some remarks on Lagrangian tori

  Kaoru Ono

  JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, Mar. 2015, Peer-reviewed, Invited

  
• DISPLACEMENT OF POLYDISKS AND LAGRANGIAN FLOER THEORY

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  JOURNAL OF SYMPLECTIC GEOMETRY, Jun. 2013, Peer-reviewed

  
• Lagrangian Floer Theory over Integers: Spherically Positive Symplectic Manifolds

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  PURE AND APPLIED MATHEMATICS QUARTERLY, 2013, Peer-reviewed

  
• SYMPLECTIC FILLINGS OF LINKS OF QUOTIENT SURFACE SINGULARITIES

  Mohan Bhupal; Kaoru Ono

  NAGOYA MATHEMATICAL JOURNAL, Sep. 2012, Peer-reviewed

  
• Lagrangian Floer theory on compact toric manifolds: survey

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  IN MEMORY OF C.C. HSIUNG: LECTURES GIVEN AT THE JDG SYMPOSIUM, LEHIGH UNIVERSITY, JUNE 2010, 2012

  
• Toric Degeneration and Nondisplaceable Lagrangian Tori in S(2)xS(2)

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, Peer-reviewed

  
• Lagrangian Floer theory on compact toric manifolds II: bulk deformations

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  SELECTA MATHEMATICA-NEW SERIES, Sep. 2011, Peer-reviewed

  
• Anchored Lagrangian submanifolds and their Floer theory

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  MIRROR SYMMETRY AND TROPICAL GEOMETRY, 2010, Peer-reviewed

  
• LAGRANGIAN FLOER THEORY ON COMPACT TORIC MANIFOLDS, I

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  DUKE MATHEMATICAL JOURNAL, Jan. 2010, Peer-reviewed

  
• Canonical models of filtered $A_{?infty}$-algebras and Morse complexes

  K. Ono; Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta

  New Perspectives and Challenges in Symplectic Field Theory, CRM Proceedings and Lecture Notes, 2010, Peer-reviewed

  
• Canonical Models of Filtered A(infinity)-Algebras and Morse Complexes

  Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono

  NEW PERSPECTIVES AND CHALLENGES IN SYMPLECTIC FIELD THEORY, 2009, Peer-reviewed

  
• An inequality for symplectic fillings of the link of a hypersurface $K3$ singularities, Algebraic topology--old and new

  K. Ono; Hiroshi Ohta

  Banach Center Publ., 2009, Peer-reviewed

  
• Examples of isolated surface singularities whose links have infinitely many symplectic fillings

  Hiroshi Ohta; Kaoru Ono

  JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, May 2008, Peer-reviewed

  
• Parametrized Gromov-Witten invariants and topology of symplectomorphism groups

  K. Ono; Hong Van Le

  Math. Soc. Japan, Advanced Studies in Pure Mathematics, Groups of Diffeomorphisms in honor of Shigeyuki Morita on the occasion of his 60th birthday, 2008, Peer-reviewed

  
• A question analogous to the flux conjecture concerning Lagrangian submanifolds

  K. Ono

  Proceeding of the Gokova Geometry/Topology Conference, Internationl Press, 2007, Peer-reviewed

  
• Floer theory in symplectic geometry (In Japanese)

  K. Ono

  SUGAKU, 2006, Peer-reviewed

  
• Development in symplectic Floer thoery

  K. Ono

  Proceedings of International Congress of Mathematicians, Madrid, Eur. Math. Soc., 2006, Peer-reviewed

  
• Floer-Novikov cohomology and the flux conjecture

  K. Ono

  GEOMETRIC AND FUNCTIONAL ANALYSIS, 2006, Peer-reviewed

  
• FLOER-NOVIKOV COHOMOLOGY AND SYMPLECTIC FIXED POINTS

  Kaoru Ono

  JOURNAL OF SYMPLECTIC GEOMETRY, Dec. 2005, Peer-reviewed

  
• A short note on symplectic Floer theory

  K Ono

  NONCOMMUTATIVE GEOMETRY AND PHYSICS, 2005, Peer-reviewed

  
• Simple singularities and symplectic fillings

  H Ohta; K Ono

  JOURNAL OF DIFFERENTIAL GEOMETRY, Jan. 2005, Peer-reviewed

  
• Symplectic 4-manifolds containing rational curves with $(2,3)$-cusp

  K. Ono; Hiroshi Ohta

  Congres et Seminaire, SMF, 2005, Peer-reviewed

  
• $J$-holomorphic curves and symplectic topology

  K. Ono

  Sugaku Expositions, (Originally writtein in Japanese ``SUGAKU'' {?bf 51}(1999), 357-376. ), 2005, Peer-reviewed

  
• Symplectic fillings of the link of simple elliptic singularities

  H Ohta; K Ono

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Dec. 2003, Peer-reviewed

  
• Simple singularities and symplectic fillings

  K. Ono

  Contemporary Mathematics, 2002, Peer-reviewed

  
• Space of geodesics on Zoll 3-spheres

  K. Ono

  Advanced Studies in Pure Mathematics, Minimal Surfaces, Geometric Analysis and Symplectic Geometry, Edited by K. Fukaya, S. Nishikawa and J. Spruck, 2002, Peer-reviewed

  
• Floer homology over integer of general symplectic manifolds -summary-

  K. Ono; Kenji Fukaya

  Advanced Studies in Pure Mathematics, Taniguchi Conference on Mathematics Nara '98, Edited by M. Maruyama and T. Sunada, pp. 75-91., 2001, Peer-reviewed

  
• Arnold conjecture and Gromov-Witten invariant

  K Fukaya; K Ono

  TOPOLOGY, Sep. 1999, Peer-reviewed

  
• Simple singularities and topology of symplectically filling 4-manifold

  H Ohta; K Ono

  COMMENTARII MATHEMATICI HELVETICI, 1999, Peer-reviewed

  
• Arnold conjecture and Gromov-Witten invariants for general symplectic manifolds

  K. Ono; Kenji Fukaya

  In: Arnoldfest, Fields Institute Communications, Fields Institute and Amer. Math. Soc., 1999, Peer-reviewed

  
• On Arnold's conjecture for symplectic fixed points

  K. Ono

  In: Banach Center Publications, Homotopy and Geometry, Edited by J. Oprea and A. Tralle, 1998, Peer-reviewed

  
• Almost complex structures which are compatible with Kahler or symplectic structures

  F Connolly; LH Van; K Ono

  ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, Aug. 1997, Peer-reviewed

  
• Perturbation of pseudo-holomorphic curves

  LH Van; K Ono

  INTERNATIONAL JOURNAL OF MATHEMATICS, Dec. 1996, Peer-reviewed

  
• Notes on symplectic 4-manifolds with b(2)(+)=1 .2.

  H Ohta; K Ono

  INTERNATIONAL JOURNAL OF MATHEMATICS, Dec. 1996, Peer-reviewed

  
• Cup-length estimate for symplectic fixed points

  K. Ono; L?^e H?^ong V?^an

  In: ``Contact and Symplectic Geometry'', Edited by C. B. Thomas, Cambridge University Press, 1996, Peer-reviewed

  
• Symplectic 4-manifolds with $b_2^+ = 1$

  K. Ono; Hiroshi Ohta

  In: ``Geometry and Physics'', Edited by J. E. Andersen, J. Dupont, H., 1996, Peer-reviewed

  
• Notes on symplectic 4-manifolds with $b_2^+ = 1$

  K. Ono; Hiroshi Ohta

  In: ``Moduli of vector bundles'', Edited by M. Maruyama ,, 1996, Peer-reviewed

  
• ON THE ARNOLD CONJECTURE FOR WEAKLY MONOTONE SYMPLECTIC-MANIFOLDS

  K ONO

  INVENTIONES MATHEMATICAE, Mar. 1995, Peer-reviewed

  
• SYMPLECTIC FIXED-POINTS, THE CALABI INVARIANT AND NOVIKOV HOMOLOGY

  LH VAN; K ONO

  TOPOLOGY, Jan. 1995, Peer-reviewed

  
• An analogue of Edmonds' theorem for loop spaces

  K. Ono; Stephan Stolz

  Amer. Math. Soc., In: ``Symplectic Geometry and Quantization'', Edited by Y. Maeda, H. Omori and A. Weinstein, Contemporary Mathematics, 1994, Peer-reviewed

  
• On a theorem of Edmonds

  K. Ono

  Adv. Studies in Pure Math., 1993, Peer-reviewed

  
• Vafa's formula and equivariant K-theory

  Kaoru Ono; Shi-shyr Roan

  Journal of Geometry and Physics, 1993, Peer-reviewed

  
• Obstruction to circle group actions preserving symplectic structure

  Kaoru Ono

  Hokkaido Mathematical Journal, 1992, Peer-reviewed

  
• ALPHA-INVARIANT AND S1 ACTIONS

  K ONO

  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Jun. 1991, Peer-reviewed

  
• Note on Hirzebruch's proportionality principle

  K. Ono; T. Kobayashi

  J.Fac.Sci.Univ.Tokyo, 1990, Peer-reviewed

  
• Periodic Schr?"odinger operators on a manifold

  K. Ono; T. Kobayashi; T. Sunada

  Forum Math., 1989, Peer-reviewed

  
• ON THE HOLOMORPHICITY OF HARMONIC MAPS FROM COMPACT KAHLER-MANIFOLDS TO HYPERBOLIC RIEMANN SURFACES

  K ONO

  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Apr. 1988, Peer-reviewed

  
• Some remarks on group actions in symplectic geometry

  K. Ono

  J. Fac. Sci. Univ. Tokyo, 1988, Peer-reviewed

  
• Equivariant projective imbedding theorem for symplectic manifolds

  K. Ono

  J. Fac. Sci. Univ. Tokyo, 1988, Peer-reviewed

  
• THE SCALAR CURVATURE AND THE SPECTRUM OF THE LAPLACIAN OF SPIN MANIFOLDS

  K ONO

  MATHEMATISCHE ANNALEN, 1988, Peer-reviewed

  

Presentations

• Twisted sectors in Lagrangian Floer theory

  Kaoru Ono

  2024 Peking Mathematical Journal Conference, 18 May 2024, Invited

  
• Twisted sectors for Lagrangian Floer theory on symplectic orbifolds

  Kaoru Ono

  Topology of 4-manifolds and related topics, 23 Jan. 2024, Invited

  
• On Floer-Novikov cohomology

  Kaoru Ono

  Conference on Gauged;Symplectic Invariants;Related Topics;Guangzhou Yingbin Hotel, 25 Dec. 2023, Invited

  
• Orbifold Lagrangian Floer theory

  Kaoru Ono

  International Workshop on Gromov-Witten theory, Sen Yat-sun University, 22 Dec. 2023, Invited

  
• Floer-Novikov cohomology and its applications

  Kaoru Ono

  NCTS workshop on Symplectic Geometry, 23 Mar. 2023, Invited

  
• Floer-Novikov cohomology

  Kaoru Ono

  IBS-CGP & MATRIX workshop on symplectic topology, 06 Dec. 2022, Invited

  
• symplecitc orbifold の Lagrangian Floer 理論

  小野 薫

  幾何学シンポジウム, 30 Aug. 2022, Invited

  
• Lagrangian Floer theory on symplectic orbifolds

  Kaoru Ono

  Frontiers of Quantitative symplectic and contact geometry, Institut Mittag Leffler, 30 Jun. 2022, Invited

  
• An approach to the construction of virtual fundamental cycles.chains with integer coefficients

  Kaoru Ono

  Cohomology in algebra, geometry, physics and statistics (online), Czech Academy of Science, 20 Oct. 2021, Invited

  
• Orbifold Lagrangian Floer theory

  Kaoru Ono

  Thematic Program at Institut Henri Poincare, 09 Jul. 2021, Invited

  
• orbifold Lagrangian Floer theory

  Kaoru Ono

  Thematic trimester program at Institut Henri Poincare, Symplectic Topology, Contact Topology and interactions, Invited

  
• orbifold Lagrangian Floer theory

  Kaoru Ono

  Seoul National University Mathematical Colloquium, 13 May 2021, Invited

  
• Floer cohomology and covering spaces

  ONO Kaoru

  The third Pan-Pacific International Conference on Topology and Applications, November 8-13, Chengdu, China, 09 Nov. 2019, Invited

  
• Symplectic Floer theory

  ONO Kaoru

  International Conference Morse theory and its Applications, Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev, Ukraine, September 25-, 25 Sep. 2019, Invited

  
• Lagrangian Floer theory on symplectic orbifolds

  ONO Kaoru

  The 5th Japan-China Geometry Conference, Ritsumeikan University, September, 2019, 03 Sep. 2019, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  C^0 aspects of symplectic geometry and Hamiltonian dynamics at Technion, Haifa, 15 May 2019, Invited

  
• Floer-Novikov theory, revisited

  ONO Kaoru

  Session on SYZ Mirror Symmetry and Enumerative Geometry in Spring Central and Western Joing Sectional Meeting of AMS, 24 Mar. 2019, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Differential Geometry, Geometric Analysis and PDEs, Academia Sinica, Taiwan, 06 Oct. 2018, Invited

  
• Some criteria for (super) heavy subsets in symplectic manifolds

  ONO Kaoru

  Complex Geometry Seminar at YMSC, Tsinghua University, 17 Sep. 2018, Invited

  
• (Non-)displaceable qustions in symplectic geometry

  ONO Kaoru

  Seminar at Beijing Normal University, 14 Sep. 2018, Invited

  
• Floer cohomology and covering spaces

  ONO Kaoru

  Joint International Meeting of American Mathematical Society and Chinese Mathematical Socity, Symplectic Geometry Session, Fudan University, 13 Jun. 2018, Invited

  
• Examples of superheavy sets

  ONO Kaoru

  NCTS Symplectic Expedition: Floer theory and beyond, Kenting Youth Activity Center, 27 May 2018, Invited

  
• Anti-symplectic involution and twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Simons Collaboration Workshop on Homological Mirror Symmetry and Hodge Theory, CMSA, Harvard University, 10 Jan. 2018, Invited

  
• Anti-symplectic involution and twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Mirror Symmetry and Related Topics 2017, Dec. 2017, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Mini-workshop on Symplectic Geometry, Universiteit Amsterdam, 09 Oct. 2017, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Seminar on symplectic and contact geometry, Universitat zu Koln, 06 Oct. 2017, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Algebraic and Symplectic Geometry at Crossroads, 25 Sep. 2017, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  BICMR & IBS-CGP Joint Symplectic Geometry Workshop, 21 Sep. 2017, Invited

  
• Twisted sectors in Lagrangian Floer theory

  ONO Kaoru

  Holomorphic curves and symplectic topology, Institut Mittag-Leffler, 07 Aug. 2017, Invited

  
• Symplectic Floer theory and its application

  ONO Kaoru

  Differential Geometry Seminar, University of California, Irvine, 10 Mar. 2017, Invited

  
• Lagrangian Floer theory - around generating criterion for Fukaya cateogry

  ONO Kaoru

  UK-Japan Winter School, University of London, 04 Jan. 2017, Invited

  
• Generation criterion for Fukaya category and related topics, Part II

  ONO Kaoru

  Workshop on mirror symmetry and related topics, Kyoto 2016, 13 Dec. 2016, Invited

  
• Generation Criterion for Fukaya catetory and related topics Part I

  ONO Kaoru

  Workshop on mirror symmetry and related topics, Kyoto 2016, 12 Dec. 2016, Invited

  
• Lagrangian Floer theory - Generating criterion for Fukaya category

  ONO Kaoru

  KMS-MSJ joint meeting 2016 In International Conference for the 70th anniversary of Korean Mathematical Society, Seoul National Univeristy, 22 Oct. 2016, Invited

  
• Lagrangian Floer theory - Generating criterion for Fukaya category

  ONO Kaoru

  Yamabe Memorial Symposium Symplectic Geometry and Complex Geometry, University of Minnesota, 02 Oct. 2016, Invited

  
• Lagrangian Floer theory and Generation Criterion for Fukaya category

  ONO Kaoru

  Trends in Modern Geometry, 22 Jul. 2016, Invited

  
• Floer theory and covering spaces

  ONO Kaoru

  Low Dimensional Topology and Symplectic Geometry, 7th Pacific Rim Mathematics Conference, Seoul National University, 28 Jun. 2016, Invited

  
• Some results on (super)heaviness for subsets in symplectic manifolds

  ONO Kaoru

  International conference ``Gromov-Witten theory, Gauge theory and Dualities'', Australian National University, Kioloa Campus, 12 Jan. 2016, Invited

  
• Holomorphic curve technique in symplectic geometry - Lagrangian Floer theory

  ONO Kaoru

  Conference on Geometry, Topology and Physics, NCTS Physics Division, National Tsing Hua University, 27 Dec. 2015, Invited

  
• Some results on (super)heaviness for subsets in symplectic manifolds

  ONO Kaoru

  Workshop ``Symplectic Geometry and Topology'' at Uppsala University, 21 Sep. 2015, Invited

  
• Idempotents in quantum cohomology and non displaceable Lagrangian submanifolds

  ONO Kaoru

  International Conference on Symplectic Geometry and Mathematical Physics at Chengdu, 30 Jun. 2015, Invited

  
• Mini course on Kuranishi structures

  Kaoru Ono

  International Conference on Symplectic Geometry and Mathematical Physics at Chengdu 2015, Jun. 2015, 四川大学, Invited

  

Books and Other Publications

• Kuranishi structures and virtual fundamental chains

  Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru, Joint work, whole book

  Springer, 2020, Refereed

  Find Kyoto University's collection of books :

  
• Lagrangian Floer theory and mirror symmetry of compact toric manifolds

  K. Fukaya; Y.-G. Oh; H. Ohta; K. ONO, Joint work, whole book Asterisque vol. 376 (340 pages)

  Societe Mathematique de France, 2016, Refereed

  
• Lagrangian intersection Floer Theory - Anomaly and Obstruction, Part I & II

  FUKAYA; Kenji, OH; Yong-Geun; OHTA; HIroshi; ONO Kaoru, Joint work, whole book

  American Mathematical Society & International Press, 2009, Not refereed

  

Awards

• Sep. 1997

  Mathematical Society of Japan, Takebe Prize
• Sep. 1999

  Geometry Session in Mathematical Society of Japan, Geometry Prize
• Sep. 2005

  Mathematical Society of Japan, Autumn Prize
• Feb. 2007

  Inoue Foundation for Science, Inoue Prize for Science

External funds: Kakenhi

• Studies on Floer theory and symplectic, contact structures

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  Kyoto University

  Kaoru Ono

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

  シンプレクティック構造;接触構造;ラグランジュ部分多様体;正則曲線の理論;倉西構造;Floer 理論;オービフォルド;正則曲線;シンプレクティク orbifold;ミラー対称性;orbifold;倉西構造と仮装基本類・基本鎖;シンプレクティック 構造;symplectic 構造;Lagrange 部分多様体;正則写像

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H00636/
• Symplectic geometry and contact topology for manifolds with boundary and its applications

  Grant-in-Aid for JSPS Fellows

  Kyoto University

  小野 薫

  From 10 Nov. 2017, To 31 Mar. 2020, Project Closed

  接触多様体;ルジャンドルグラフ;次数付き微分代数;添加写像;ルーリング不変量;接触ホモロジー;ルジャンドル結び目;接触構造;Chekanov-Eliashberg DGA;ruling invariant;wrapped Floer theory;wrapped Floer ホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17F17318/
• Geometric studies on singularity of non-linear phenomena

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Shyuichi Izumiya

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

  非線形現象;特異性;幾何学;ラグランジュ特異点;ルジャンドル特異点;スピントロニクス;双曲空間;垂足部分集合;カスプ辺;トポロジカル絶縁体;光化学反応;ホログラフィー原理;バルクエッジ対応;バンド交差;ツバメの尾曲面;垂足曲線;グラフ型大波面;焦点集合;バンド交差理論;グラフ型波面;Darboux枠;世界面

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26287009/
• Development of Floer theory and study on symplectic structures

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Kaoru ONO

  From 01 Apr. 2014, To 31 Mar. 2019, Project Closed

  Floer 理論;擬正則曲線;symplectic 構造;Lagrange 部分多様体;A-無限大構造;トーリック多様体;ミラー対称性;特異点;シンプレクティック構造;ラグランジュ部分多様体;正則曲線;A 無限大構造;倉西構造と仮想的基本鎖;スペクトル不変量;倉西構造;ハミルトン微分同相写像;正則曲線と量子コホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26247006/
• Development of the index theorem on foliated manifolds

  Grant-in-Aid for Scientific Research (C)

  Nagoya University

  Hitoshi Moriyoshi

  From 01 Apr. 2013, To 31 Mar. 2016, Project Closed

  指数定理;非可換幾何;葉層多様体;Godbillon-Vey 不変量;K理論;巡回コホモロジー;Godbillon-Vey不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400085/
• Developments in Interactions between Algebraic Geometry and Integrable Systems

  Grant-in-Aid for Scientific Research (S)

  Kobe University

  Masa-Hiko Saito

  From 31 May 2012, To 31 Mar. 2017, Project Closed

  可積分系;パンルヴェ方程式;相空間;モジュライ空間;モノドロミー保存変形;量子コホモロジーとミラー対称性;リーマン・ヒルベルト対応;Floer 理論;パンルヴェ型方程式;混合ツイスターD加群;Floer理論;量子コホモロジーとミラー 対称性;Bridgeland安定性;モジュライ理論;国際研究者交流（フランス、ハンガリー）;国際情報交換;国際研究者交流

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24224001/
• Floer theory, mirror symmetry conjecture and applications to symplectic geometry

  Grant-in-Aid for Scientific Research (B)

  Nagoya University

  Hiroshi OHTA

  From 01 Apr. 2011, To 31 Mar. 2015, Project Closed

  シンプレクティック幾何;フレアー理論;ミラー対称性;ラグランジュ部分多様体;倉西構造;仮想基本類;トーリック多様体;フロベニウス多様体構造;ミラー対称性予想;フレアーコホモロジー;反シンプレクティック対合;深谷圏;擬準同型写像;スペクトラル不変量;バルク変形

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23340015/
• Proof of Homological Mirror Symmetry

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Kenji Fukaya

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

  微分幾何学;位相幾何学;複素幾何学;代数幾何学;ミラー対称性;シンプレクティック幾何学;ラグランジュ部分多様体;仮想ホモロジー類;深谷圏;幾何学;代数学;解析学;シンプレクティック多様体;フレアーホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23224002/
• Geometric moduli theory and its theoretical applications

  Grant-in-Aid for Scientific Research (S)

  Hokkaido University

  Iku Nakamura

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

  モジュライ;コンパクト化;安定性;パンルヴェ方程式;フレア理論;ミラー対称性;超平面配置;ゼータ関数;マッカイ対応;モジュライ理論;超幾何級数;ガンマ関数;Fleor理論;アーベル多様体;ハミルトン構造;量子コホモロジー;ガウス分布;半アーベル群スキーム;双対分割定理;非可換ゼータ関数;レベル構造;既約表現;整モデル;symplectic　多様体;Witt 環;有限群スキーム;Floer理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23224001/
• A generalization of the Atiyah-Singer Index Theorem on Noncommutative manifolds

  Grant-in-Aid for Scientific Research (C)

  Nagoya University

  Hitoshi MORIYOSHI

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

  指数定理;非可換幾何学;K理論;エータ不変量;葉層多様体;Godbillon-Vey類;巡回コホモロジー;非可換幾何;幾何学;位相幾何学;葉層構造;Godbillon-Vey不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540077/
• A research on the geometric singularities of non-linear phenomena

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Shyuichi IZUMIYA

  From 01 Apr. 2010, To 31 Mar. 2014, Project Closed

  特異点;非線形現象;相対性理論;ローレンツ空間形;ルジャンドル特異点;ラグランジュ特異点;世界面;光的幾何学;焦集合;光的絶対全曲率;光的超曲面;事象の地平線;大域的性質;ミンコフスキー時空;空間的部分多様体;余次元;宇宙論;余次元2;管状部分多様体;特異点論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340011/
• AdS/CFT correspondence and GIT stablity

  Grant-in-Aid for Scientific Research (A)

  The University of Tokyo;Tokyo Institute of Technology

  Akito FUTAKI

  From 01 Apr. 2009, To 31 Mar. 2014, Project Closed

  アインシュタイン計量;ケーラー多様体;佐々木多様体;Fano多様体;平均曲率流;リッチ・ソリトン;自己相似解;Fano 多様体;ケーラー・アインシュタイン計量;乗数イデアル層;二木不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21244003/
• Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures

  Grant-in-Aid for Scientific Research (A)

  Kyoto University;Hokkaido University

  Kaoru ONO

  From 01 Apr. 2009, To 31 Mar. 2014, Project Closed

  symplectic 構造;Floer 理論;正則曲線;Lagrange 部分多様体;A-無限大構造;トーリック多様体;シンプレクティック構造;擬正則写像;幾何学;変形理論;toric 多様体;Floer理論;symplectic構造;Lagrange部分多様体;toric多様体;A-infinity構造;Hamilton系;擬正則曲線;接触構造

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21244002/
• Noncommutative Geometry and equivariant index theorem for twisted group actions

  Grant-in-Aid for Scientific Research (C)

  Keio University

  Hitoshi MORIYOSHI

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

  非可換幾何学;指数定理;K理論;エータ不変量;葉層構造;巡回コホモロジー;幾何学;位相幾何学;Godbillon-Vey不変量;国際研究者交流;イタリア:中国:アメリカ;接触構造;佐々木多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540099/
• Pseudo-holomorphic map and Floer cohomology and their applications to symplectic geometry

  Grant-in-Aid for Scientific Research (B)

  Nagoya University

  Hiroshi OHTA

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  シンプレクティック幾何;フレアーコホモロジー;ミラー対称性予想;擬準同型写像;ハミルトン微分同相群;トーリック多様体;ポテンシャル関数;量子コホモロジー;ラグランジュ部分多様体;ランダウ・ギンズブルグ模型;フロベニウス構造;フレアー理論;ホモトピー代数;トーリック退化;non-displaceable;シンプレクティック充墳;変形理論;シンプレクティック充填

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340017/
• Research on the differential sysytems and geometric structures associated with simple graded Lie algebras

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Keizo YAMAGUCHI

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  微分式系;階別単純リー環;接触幾何学;包合系;接触変換;高次ジェット空間;有限型微分方程式系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340012/
• Differential topological study of foliations and contact structures

  Grant-in-Aid for Scientific Research (B)

  Chuo University

  Yoshihiko MITSUMATSU

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  葉層構造;接触構造;3次元Anosov流;Euler類;自己交叉Thurstonの不等式;Thruston-Bennequinの不等式;シンプレクティック構造;3次元 Anosov 流;Euler 類;自己交叉;Thurston の不等式;Thruston-Bennequin の不等式;Thurstonの不等式;Anosov流;コンパクト葉

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340020/
• Study on Floer theory and symplectic geometry

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Ono KAORU

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  symplectic 構造;Floer 理論;Lagrange 部分多様体;擬正則曲線;A_∞-構造;変形理論;シンプレクティック構造;Floer理論;概正則曲線;A-無限大構造;Floer theory;Lagrangian submanifolds;Gromov-Witten invariants;flux conjecture;A-infinity structure;quantum cohomology;toric manifolds;Floer cohomology;pseudo-holomorphic curves;A-infinity algebra;Hamiltonian diffeomorphisms

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340014/
• Differential Geometry and Partial Differential Equations as an application of Singularity theory

  Grant-in-Aid for Scientific Research (B)

  Hokkaido University

  Shyuichi IZUMIYA

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

  特異点論;微分幾何;偏微分方程式;シンプレクテイック幾何;接触幾何;画像処理,ブレーン宇宙;重力場レンズ;ラグランジュ特異点;ルジャンドル特異点;反ドジッター空間;ブレーン;斜傾幾何学;ルジャンドル双対性;双対性の曼荼羅;画像処理;反ド・シッター空間;ガウス・ボンネ型定理;ホロタイトはめ込み;ホロ凸;ホロ平坦;シンプレクテイック幾何学;擬球面;相対性理論;双対性;ミンコフスキー空間;ホロ球面;線形ワインガルテン曲面;非ブライアント型;双曲空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340013/
• Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

  Grant-in-Aid for Scientific Research (A)

  Keio University

  Yoshiaki MAEDA

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

  非可換幾何学;変形量子化;ジャーブ;超弦理論;量子化問題;変形量子化問題;シンプレクティック幾何学;ポアソン幾何学;非可換ゲージ理論;国際研究者交流;中国:スイス:アメリカ;regularization;擬微分作用素;スペクトル理論;オーストラリア:アメリカ:イタリア;量子コホモロジー;岩沢理論;国際情報交換;イギリス:フランス:ベルギー:中国:コロンビア;非可換微分幾何学;指数定理;Lie algebroid;Floer homology;Parabolic geometry;deformation quantization;Dirac structure;symplectic geometry

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18204006/
• New development of geometry based on topological field theory

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Kenji FUKAYA

  From 01 Apr. 2006, To 31 Mar. 2011, Project Closed

  シンプレクティック多様体;ミラー対称性;フレアーホモロジー;シンプレクティク幾何;擬正則曲線;モジュライ空間;トーリック多様体;ハミルトン力学系;ラグランジュ部分多様体;シンプレクティック幾何学;量子コホモロジー;ミラ-対称性;フレア-ホモロジ-;カラビヤウ多様体;特異点理論;ホモロジー代数;超弦理論;幾何学;トポロジー;数理物理;素粒子論;解析学;弦理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18104001/
• 幾何構造のC^O-剛性の研究

  Grant-in-Aid for Exploratory Research

  Hokkaido University

  小野 薫

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

  Gromov-Witten invariants;characteristic class;the group of symplectomorphisms;the link of singularity;Lagrangian submanifolds;flux conjecture;幾何構造の剛性;C^0-フラックス予想;scalar curvature rigidity;シンプレクティック構造;C°-剛性;Floerホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17654009/
• Poisson幾何学国際会議2006年開催のための準備および調査企画

  Grant-in-Aid for Scientific Research (C)

  Keio University

  前田 吉昭

  From 01 Apr. 2005, To 31 Mar. 2006, Project Closed

  ポアソン幾何学;変形量子化;リー亜群;無限粒子系;積分可能系;代数解析;量子コホモロジー;超弦理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17634003/
• Non-commutative Geometry and Applications of twisted K-theory to Index theorem

  Grant-in-Aid for Scientific Research (C)

  Keio University

  Hitoshi MORIYOSHI

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

  非可換幾何学;指数定理;K理論;巡回コホモロジー;エータ不変量;葉層構造;接触構造;佐々木多様体, Non-commutative Geometry;Index Theorem;K-theory;Cyclic cohomology;Eta invariant;Foliation;Contact structure;Sasakian manifold

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17540093/
• Research on geometry related to theta functions

  Grant-in-Aid for Scientific Research (C)

  Hokkaido University

  Keiji MATSUMOTO

  From 01 Apr. 2005, To 31 Mar. 2009, Project Closed

  テータ関数;超幾何関数;双曲幾何;算術幾何平均;平均反復;モジュライ空間;双曲空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17540001/
• A study on foliations, contactstrucures, and symplectic styructures on 3 and 4 dimensional manifolds

  Grant-in-Aid for Scientific Research (C)

  Chuo University

  Yoshihiko MITSUMATSU

  From 01 Apr. 2004, To 31 Mar. 2006, Project Closed

  葉層構造;接触構造;Anosov流;Stein filling;回転可能構造;シンプレクティック構造;Reebベクトル場;Hamilton力学系;symplectic構造;射影的Anosov流;open book分解;Thurston(Bennequin)の不等式, foliation;contact structure;Anosov flow;Stein filling;spinnable structure;symplectic structure;Reeb vector field;Hamiltonian dynamical system

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540080/
• Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics

  Grant-in-Aid for Scientific Research (A)

  Osaka University

  Toshiki MABUCHI

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  幾何学;extremal metric;安定性;balanced metric;退化;定スカラー曲率;test configuration;obstruction;Test configuration;Hitchin-Kobayashi対応;定スカラー曲率ケーラー計量;漸近安定性;Chow-mumford安定性;Hilbert-mumford安定性;extremal-Kahler計算;偏極代数多様体;存在問題;Chow-Mumford漸近安定性;Hilbert-Mumford漸近安定性;Caltin-Lu-Tian-Zelditch;extremal Kahle計量;射影kahler多様体;Extremal metric;Zhangの臨界計量;漸近的ベルグマン核;Kahler-Einstein計量;Chow計量, geometry;extremal metric;stability;balanced metric;degeneration;constant scalar curvature;test configuration;obstruction

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16204006/
• Geometry and topology of 4-manifolds

  Grant-in-Aid for Scientific Research (A)

  University of Tokyo

  Yukio MATSUMOTO

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  4次元多様体;符号数;レフシェツ・ファイバー空間;リーマン面;正則ファイバー空間;モノドロミー;チャート理論;初等手術理論;退化;局所符号数;シンプレクティック幾何;フラックス予想, 4-manifolds;signature;Lefschetz fibration;Riemann surface

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16204003/
• The global geometry of moduli spaoes

  Grant-in-Aid for Scientific Research (A)

  Hokkaido University

  Iku NAKAMURA

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  マッカイ対応;モジュライ;コンパクト化;リジッド幾何学;p進幾何学;Mumford射影平面;K3曲面;L関数;アーベル多様体;flux予想;安定性;モジュライのコンパクト化;複素超球の算術商;テータ関数;モジュライ空間;群軌道のヒルベルト・スキーム;3次曲面,複素超球;2次超曲面, McKay correspondence;Moduli;Compactification;Rigid geometry;p-adic geometry;Mumford fake projective plane;K3 Surfaces;L-function

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16204001/
• Unified approach of Ricci-flat manifolds

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Ryushi GOTO

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

  カラビ-ヤオ構造;超ケーラー構造;G_2構造;Spin(7)構造;幾何構造;変形理論;モジュライ空間;一般化された幾何構造;カラビーヤオ構造;カラビ・ヤオ多様体;超ケーラー多様体;G_2多様体;シンプレクティク多様体;Spin(7)多様体, Calabi-Yau structure;hyperK"ahler structure;G_2 structure;Spin(7) structure;geometric structure;Deformations;Moduli spaces;generalized structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15540070/
• Poisson Geometry, Contact Geometry and Quantization Problems

  Grant-in-Aid for Scientific Research (A)

  KEIO UNIVERSITY

  Yoshiaki MAEDA

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

  変形量子化;非日間微分幾何学;Gerbe;シンプレクティック幾何学;接触幾何学;量子化問題;サイクリックコホモロジー;ループ空間;指数定理;非可換多様体;ジャーブ;シンプレクティック多様体;接触多様体;幾何学的量子化;積分可能系;変形量子化問題;接触構造;ポアソン構造;超弦理論;Nambu-Jacobi構造;Poisson groupoid;漸近解析;Symplectic Geometry, deformation quantization;Noncommutative geometry;Gerbe;Symmplectic geometry;Contact geometry;quantization problems;cyclic cohomology;Loop spaces

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15204005/
• Research on several geometry from the view point of sinuglarity theory

  Grant-in-Aid for Scientific Research (A)

  HOKKAIDO UNIVERSITY

  Shyuichi IZUMIYA

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

  特異点;位相幾何学;微分幾何学;力学系;変換群;力学素;ホモトピー論;ミンコフスキー空間;光錐;平行超曲面;擬球面;特異点論;ルジャンドル多様体;結び目理論;変換群論;4次元多様体;モース理論, Singularities;Topology;Differential Geometry;Dynamical System;Transformation group

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15204002/
• Study of Non-Commutative Geometry focusing on the Index theorem, and low-dimensional maniflod theory,

  Grant-in-Aid for Scientific Research (C)

  Keio University

  Hitoshi MORIYOSHI

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

  非可換幾何学;指数定理;スカラー曲率;巡回コホモロジー;K理論;エータ不変量;葉層構造;C^*環;スペクトル流, NONCOMMUTATIVE GEOMETRY;THE INDEX THEOREM;SCALAR CURVATURE;CYCLIC COHOMOLORY;K-THEORY;ETA INVARIANT;FOLIATION;C^* ALGEBRA

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540089/
• Applied singularity theory to exterior differential systems

  Grant-in-Aid for Scientific Research (B)

  HOKKAIDO UNIVERSITY

  Goo ISHIKAWA

  From 01 Apr. 2002, To 31 Mar. 2006, Project Closed

  モンジュ・アンペール方程式;グルサ分布;特異ルジャンドル多様体;コイソトロピック写像;シンプレクティック・モデュライ空間;特異ルジャンドル結び目;写像商空間;ユニモダル平面曲線;ガウス・クロネッカー曲率;接触モデュライ空間;ユニモダル特異点;モンジュ・アンペール系;アイソトロピック写像;特異ラグランジュ多様体;グルサ系;ガウス曲率;非固有アフィン曲面;ルジャンドル曲線;微分構造;サーストン・ベネカン不変量;マスロフ不変量;非正規型常微分方程式;解空間零点定理, Monge-Ampere equation;Goursat distribution;singular Legendre submanifolds;coisotropic mapping;symplectic moduli space;singular Legendre knot;mapping space quotient;uni-modal plane curve

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340020/
• Floor homology, singularities and deformation theory

  Grant-in-Aid for Scientific Research (B)

  HOKKAIDO UNIVERSITY

  Kaoru ONO

  From 01 Apr. 2002, To 31 Mar. 2006, Project Closed

  Floerホモロジー;シンプレクティック構造;接触構造;特異点;擬正則曲線;正則曲線;フロアー・コホモロジー;孤立特異点;フロアー・ホモロジー, Floer homology;symplectic structure;contact structure;singularity;pseudo holomorphic curve

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340019/
• Moduli space, Homotopical algebra, Field theory

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Kenji FUKAYA

  From 01 Apr. 2001, To 31 Mar. 2006, Project Closed

  シンプレクティック幾何学;ラグランジュ部分多様体;フレアーホモロジー;ミラー対称性;A無限大構造;擬正則曲線;位相的場の理論;ハミルトン力学系;ループ空間;シンプレクティック微分同相群;曲率と基本群;open string;モジュライ空間;Dブレイン;A無限大代数;超ポテンシャル;Rigid幾何学;A無限代数;モース理論;ホモトピー代数, symplectic topology;Lagrangian sublmanifolds;Floer homology;Mirror symmetry;A infinity algebra;quasi-regular curve;Topological field theory;Hamiltonian dynamical system

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13852001/
• Geometries related to foliations

  Grant-in-Aid for Scientific Research (C)

  HOKKAIDO UNIVERSITY

  toshiyuki NISHIMORI

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  葉層;定性論;相似変換擬群;例外的極小集合, foliation;quaolitative theory;similarity pseudogioup;exceptional minimal sec

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640055/
• Study on contac structures and foliations on 3 and 4 dimensional manifolds

  Grant-in-Aid for Scientific Research (B)

  Chuo University

  Yoshihiko MITSUMATSU

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  接触構造;葉層構造;symplectic構造;双接触構造;Anosov流;葉層コホモロジー;Asymptotic Linking;Stein曲面;Asymptotic linking;擬正則曲線;概複素構造;射影的Anosov流, contact structures;foliations;symplectic structures;bi-contact structures;Ansov flows;foliated cohomology;asymptotic linking;Stein surface

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440026/
• 物理学に刺激されて生まれた種々の幾何学

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  深谷 賢治

  From 01 Apr. 2001, To 31 Mar. 2005, Project Closed

  モジュライ空間;Dブレイン;フレアーホモロジー;A無限代数;ノビコフ環;変形理論;倉西構造

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13304004/
• Non-Commutative Geometry and the Spectral Flow Index Theorem

  Grant-in-Aid for Scientific Research (C)

  Keio University

  Hitoshi MORIYOSHI

  From 01 Apr. 2000, To 31 Mar. 2002, Project Closed

  非可換幾何学;指数定理;スペクトル流;巡回コホモロジー;K理論, NONCOMMUTATIVE GEOMETRY;K-TEHORY;THE INDEX THEOREM;SPECTRAL FLOW;CYCLIC COHOMOLORY;K-THEORY

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640086/
• A STUDY ON THE GEOMETRY OF MODULI SPACES

  Grant-in-Aid for Scientific Research (A)

  HOKKAIDO UNIVERSITY

  Iku NAKAMURA

  From 01 Apr. 2000, To 31 Mar. 2004, Project Closed

  アーベル多様体;モジュライ;コンパクト化;McKay対応;データ関数;Calabi-Yau多様体;余不変代数;Quiver多様体;テータ関数;マッカイ対応;余不変式環;Abel多様体;Griffiths領域;Floer homology;一般化Whittaker模型;楕円曲線;レベルN構造;Abel 多様体;Stability, Abelian variety;Moduli;Compactification;McKay correspondence;Theta function;Calabi-Yau Manifolds;Coinvariant algebra;Quiver variety

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12304001/
• 新しい空間像の創出

  Grant-in-Aid for Exploratory Research

  Kyoto University

  深谷 賢治

  From 01 Apr. 1999, To 31 Mar. 2000, Project Closed

  シンプレティック幾何学;フレアーホモロジー;概正則曲線;ラグランジュ部分多様体;対応;ミラー対称性;モジュライ空間;非可換幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11874013/
• Spin^c Analysis for Group C^*-bundles on Manifolds and Study of Yamabe Invariants

  Grant-in-Aid for Scientific Research (C)

  Shizuoka University

  Kazuo AKUTAGAWA

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

  山辺不変量;共形幾何;微分トポロジー;シンプレクテイック多様体;スピンc幾何;離散群;コボルディズム;負曲率多様体;シンプレクティック多様体;Seiberg-Witten理論;群C^*環;ディラック作用素;K理論, Yamabe Invariant;Conformal Geometry;Differential Topology;Symplectic Geometry;Spin^c Geometry;Descrete Group;Cobordism;Manifolds of Negative Curvature

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640070/
• Analysis of dynamical systems and related topics in geometry

  Grant-in-Aid for Scientific Research (B).

  Tokyo Institute of Technology

  Hidekazu ITO

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

  ハミルトン力学系;可積分系;ゼータ関数;コシレイ指数;複素力学系;変分法;シンプレクティック幾何学;力学系ゼータ関数;コンレイ指数;接触幾何学, Hamiltonian system;integrable system;variational method;zeta function;Conley index;complex dynamical system;symplectic geometry

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11440054/
• Symplectic structures and singularities

  Grant-in-Aid for Scientific Research (B)

  HOKKAIDO UNIVERSITY

  Kaoru ONO

  From 01 Apr. 1999, To 31 Mar. 2002, Project Closed

  フロアー・ホモロジー;ラグランジュ部分多様体;単純特異点;シンプレクティック構造;接触構造;フロアーホモロジー;シンプレクティック・フィリング;ミルナー・ファイバー;正則曲線;A_∞-代数;Floerホモロジー;モノポール方程式;特異点, Floer homology;Lagrangian submanifold;simple singularity;symplectic structure;contact structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11440015/
• ENCOUNTER with MATHEMATICS

  Grant-in-Aid for Scientific Research (C)

  Chuo University

  三松 佳彦

  From 01 Apr. 1998, To 31 Mar. 1999, Project Closed

  数学文化の定着;現代数学の有機性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10894007/
• シンプレクティック幾何学の展開

  Grant-in-Aid for Scientific Research (C)

  Chuo University

  高倉 樹

  From 01 Apr. 1998, To 31 Mar. 1999, Project Closed

  シンプレクティック幾何学;接触幾何学;非可換微分幾何学;ゲージ理論;ケーラー幾何学;場の量子論;大域解析学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10894006/
• 国際共同研究「超弦理論と量子コホモロジー」を組織する為の企画調査

  Grant-in-Aid for Scientific Research (C)

  Kobe University

  齋藤 政彦

  From 01 Apr. 1998, To 31 Mar. 1999, Project Closed

  超弦理論;グロモフ・ウイッテン不変量;量子コホモロジー;Mirror 対称性;共形場理論;カラビ・ヤウ多様体;21世紀の幾何学;シンプレクテック幾何学的

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10894003/
• Projective contact geometry and singularity theory

  Grant-in-Aid for Scientific Research (B)

  HOKKAIDOUNIVERSITY

  Goo ISHIKAWA

  From 01 Apr. 1998, To 31 Mar. 2002, Project Closed

  単純特異点;シンプレクティック欠損;接触幾何;グラスマン幾何;モンジュ・アンペール方程式;ガウス写像;双対多様体;可展部分多様体;シンプレクティック・モデュライ;接触同値;ギベンタル予想;非ホロノーム横断性定理;非ホロノームホモトピー原理;可展面;等径超曲面;極小曲面;ルジャンドル特異点;接触構造;ケーリー8元数体;可展超曲面;射影構造;等質空間;ラグランジュ特異点;ケーレー8元体;射影微分幾何, simple singularity;symplectic defect;contact geometry;Grassmannian geometry;Monge-Ampere equation;Gauss mapping;dual variety;developable submanifold

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440013/
• Study of contact structures and foliations on 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  Chuo University

  Yoshihiko MITSUHATSU

  From 01 Apr. 1998, To 31 Mar. 2000, Project Closed

  接触構造;葉層構造;symplectic構造;双接触構造;射影的Anosov流;symplectic Filling;幾何学的量子化;tight接触構造;Hamilton力学系;超曲面;Symplectic構造;タマ接触構造;シンプレクティック構造;擬正則曲線;Poisson構造;Legendre結び目;Thurston-Bennequin不変量, Contact Structure;foliation;symplectic structure;bi-contact structure;projectively Anosoo flow;symplectic filling;geometric quantization;tight contact structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640130/
• Study on symplectic structures and contact structures

  Grant-in-Aid for Scientific Research (C)

  HOKKAIDO UNIVERSITY;Ochanomizu University

  Kaoru ONO

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  symplectic構造;接触構造;J-正則曲線;Floerホモロジー;Gromov-Witten不変量;ラグランジュ部分多様体;Seiberg-Wittem不変量;symplectic 構造;Floer ホモロジー;Gromov-Witten 不変量;Seiberg-Witten 不変量;Symplectic 構造;ラグランジアン部分多様体, Symplectic structure;contact structure;J-holomorphic curves;Floer homology;Gromov-Witten invariant;Lagrangian submanifold;Seiberg-Witten invariant

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640095/
• The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry

  Grant-in-Aid for Scientific Research (C)

  Keio University;Hokkaido University

  Hitoshi MORIYOSHI

  From 01 Apr. 1997, To 31 Mar. 2000, Project Closed

  非可換幾何学;K理論;巡回コホモロジー;指数定理;シンプレクティック幾何;非可換微分幾何学;K-理論;Maslov類;spectral flow, NONCOMMUTATIVE GEOMETRY;K-TEHORY;CYCLIC COHOMOLORY;THE INDEX THEOREM;SYMPLECTIC GEOMETRY

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640081/
• Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis

  Grant-in-Aid for Scientific Research (B)

  TOKYO INSTITUTE OF TECHNOLOGY

  Hidekazu ITO

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  ハミルトン力学系;可積分系;変分法;シンプレクティック幾何学;ゼータ関数;複素力学系;シンプレティック幾何学;エルゴード埋論;大域幾何学, hamiltonian system;integrable system;variational method;symplectic geometry;zeta funetion;complex dynamical system

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440050/
• Moduli space and infinite dimensional geometry

  Grant-in-Aid for Scientific Research (A).

  KYOTO UNIVERSITY

  Kenji FUKAYA

  From 01 Apr. 1997, To 31 Mar. 2001, Project Closed

  シンプレクティック幾何;フレアーホモロジー;ホモトピー代数;モジュライ空間;ミラー対称性;概正則曲線;倉西写像;ラグランジュ部分多様体;シンプレクティック幾何学;対応;ハミルトン系;軌道体;テータ関数;アーベル多様体;非可換トーラス;フレア-ホモロジー;鏡映対称性;非可換幾何学;A無限大カテゴリー;ヤンミルズ方程式;テ-タ関数;マスロフ指数, Symplectic Geometry;Floer homology;Homotopical Algebra;moduli space;Mirror symmetry;pseudoholomorphic curve;Kuranishi map;Lagrangian submanifold

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09304008/
• 多様体上の種々の幾何構造と大域解析の研究

  Grant-in-Aid for Scientific Research (C)

  Ochanomizu University

  小野 薫

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  シンプレクティック構造;J-正則曲線;フロア-・ホモロジー;グロモフ・ウィッテン不変量;サイバーグ・ウィッテン不変量;ラグランジュ部分多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640093/
• ブロウエ予想とパ-フェクトアイソメトリー

  Grant-in-Aid for Scientific Research (B)

  Ochanomizu University

  榎本 陽子

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  モジュラー表現;ブロック;ブラウア-ペア

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08454003/
• 閉道空間上の汎関数の幾何学

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

  Ochanomizu University

  小野 薫

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  シンプレティック幾何学;Arnold予想;Floerホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07740052/
• 点過程の方法による多変数確率過程の研究

  Grant-in-Aid for General Scientific Research (C)

  Ochanomizu University

  笠原 勇二

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  independent random varibeles;trimmed sum;order statistics;limit theorem;fractional Brownian motion;occupation times

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640284/
• 強不定値汎函数の変分問題と閉道空間の幾何学

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

  Ochanomizu University

  小野 薫

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  シンプレクティック多様体;J-正則写像;フロア-ホモロジー;ループ空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06740053/
• エルミート多様体の微分幾何学的研究

  Grant-in-Aid for General Scientific Research (C)

  Ochanomizu University

  塚田 和美

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  一般ホップ多様体;de Rhamコホモロジー群;多重調和コホモロジー群;ケーラー葉層構造;基底コホモロジー群;正則直線束;シンプレクティック多様体;完全微分同相写像

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640116/
• リーマン多様体の幾何学

  Grant-in-Aid for General Scientific Research (C)

  Ochanomizu University

  小川 洋輔

  From 01 Apr. 1993, To 31 Mar. 1994, Project Closed

  Hopf多様体;局所共形的Kahler空間;isotropic immersion;symplectic geometry

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640094/
• 無限変数解析

  Grant-in-Aid for General Scientific Research (C)

  Ochanomizu University

  高村 幸男

  From 01 Apr. 1990, To 31 Mar. 1991, Project Closed

  テンソル積;ファインマン経路積分

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02640101/
• Problems in Global Analysis

  Grant-in-Aid for General Scientific Research (B)

  Tohoku University

  Takeshi KOTAKE

  From 01 Apr. 1989, To 31 Mar. 1991, Project Closed

  シュレディンガ-作用素;ディラック作用素;ハミルトン正準方程式;関数微分方程式;〓〓調和関数;バ-クマン核;シュレディンガ-方程式;ハミルトン力学系;調和関数;バ-グマン核;周期的シュレ-ディンガ-方程式;ヤン・ミルズ汎函数;半線型楕円型方程式;ハミルトンベクトル場;バ-コフ標準型;ハ-ディ空間;ケ-ラ-多様体;トレリの問題, Schrodinger operator;Dirac operator;integrable hamiltonian system;functional differential equation;harmonic function;Bergman kernel

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01460003/
• Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structures

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  Kyoto University

  小野 薫

  From 01 Apr. 2024, To 31 Mar. 2029, Granted

  シンプレクティック構造;接触構造;Floer 理論;ラグランジュ部分多様体;倉西構造

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24H00182/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry and Related Topics a

  1319, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry and Related Topics d

  1322, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry and Related Topics c

  1321, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry and Related Topics b

  1320, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Geometry and Related Topics d

  1322, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Geometry and Related Topics c

  1321, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Geometry and Related Topics b

  1320, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Geometry and Related Topics a

  1319, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry and Related Topics c

  1321, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry and Related Topics a

  1319, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry and Related Topics b

  1320, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry and Related Topics d

  1322, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From Apr. 2012, To Mar. 2013

  Development of Mathematics - from basic to advanced A

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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2014, To Mar. 2015

  Seminar on Geometry and related topics A

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

  Seminar on Geometry and related topics B

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

  Seminar on Geometry and related topics C

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

  Seminar on Geometry and related topics D

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

  Seminar on Geometry and related topics A

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

  Seminar on Geometry and related topics B

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

  Seminar on Geometry and related topics C

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

  Seminar on Geometry and related topics D

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

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Seminar on Geometry and related topics A

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

  Seminar on Geometry and related topics B

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

  Seminar on Geometry and related topics C

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

  Seminar on Geometry and related topics D

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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2017, To Mar. 2018

  Seminar on Geometry and related topics A

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

  Seminar on Geometry and related topics B

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

  Seminar on Geometry and related topics C

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

  Seminar on Geometry and related topics D

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

  Seminar on Geometry and Related Topics a

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

  Seminar on Geometry and Related Topics b

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

  Seminar on Geometry and Related Topics c

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

  Seminar on Geometry and Related Topics d

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

  Seminar on Geometry and Related Topics a

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

  Seminar on Geometry and Related Topics b

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

  Seminar on Geometry and Related Topics c

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

  Seminar on Geometry and Related Topics d

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

  Mathematics seminary

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

  Seminar on Geometry and Related Topics a

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

  Seminar on Geometry and Related Topics b

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

  Seminar on Geometry and Related Topics c

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

  Seminar on Geometry and Related Topics d

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

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

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

  Seminar on Geometry and Related Topics a

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

  Seminar on Geometry and Related Topics b

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

  Seminar on Geometry and Related Topics c

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

  Seminar on Geometry and Related Topics d

  Fall, 理学研究科

Participation in PhD Defense

• Embedded contact homology and its applications to3-dimensional Reeb flows

  SHIBATA TAISUKE, Graduate School of Science, Chief Examiner

  25 Mar. 2024
• The reduced Dijkgraaf-Witten invariant of double twist knots in the Bloch group of Fp

  KARUO HIROAKI, Graduate School of Science, Chief Examiner

  23 Mar. 2022

Administration

School management (title, position)

• From 01 Apr. 2024

  大学評価委員会 委員
• From 01 Apr. 2022, To 31 Mar. 2024

  数理解析研究所 所長
• From 01 Apr. 2023, To 31 Mar. 2024

  環境安全保健委員会 委員
• From 01 Apr. 2022, To 31 Mar. 2024

  全学情報セキュリティ委員会 委員
• From 01 Apr. 2022, To 31 Mar. 2024

  研究公正委員会 委員
• From 01 Apr. 2022, To 31 Mar. 2024

  総長選考・監察会議
• From 01 Apr. 2022, To 31 Mar. 2024

  部局長会議
• From 01 Apr. 2022, To 31 Mar. 2024

  教育研究評議会 評議員
• From 01 Apr. 2020, To 31 Mar. 2022

  数理解析学系 学系長
• From 01 Apr. 2019, To 31 Mar. 2023

  人権委員会 委員
• From 01 Apr. 2017, To 31 Mar. 2018

  スーパーグローバルコース実施運営協議会 委員
• From 01 Apr. 2017, To 31 Mar. 2018

  スーパーグローバルコース企画運営幹事会 委員
• From 01 Apr. 2017, To 31 Mar. 2019

  スーパーグローバルコース企画運営幹事会 委員
• From 01 Apr. 2017, To 31 Mar. 2019

  スーパーグローバルコース実施運営協議会 委員

Faculty management (title, position)

• From 01 Apr. 2022, To 31 Mar. 2024

  基礎物理学研究所協議会協議員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科教務委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科数学・数理解析専攻連絡会
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科会議構成員
• From 01 Apr. 2016, To 31 Mar. 2017

  数理解析研究所副所長
• From 01 Apr. 2016, To 31 Mar. 2017

  予算委員会　委員長
• From 01 Apr. 2016, To 31 Mar. 2017

  建物・施設整備委員会　委員長
• From 01 Apr. 2016, To 31 Mar. 2017

  環境・安全・衛生管理委員会　委員
• From 01 Apr. 2016, To 31 Mar. 2017

  人権問題委員会　委員長
• From 01 Apr. 2016, To 31 Mar. 2017

  省エネルギー推進委員会　委員
• From 12 Oct. 2017

  運営委員会委員長
• From 01 Apr. 2014

  予算委員会　委員
• From 01 Apr. 2016

  建物・施設整備委員会　委員
• From 01 Apr. 2019, To 31 Mar. 2020

  数理解析学系　副学系長
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科 数学・数理解析専攻　数理解析系主任