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)
• 博士（数理科学）(東京大学)

Academic Resume (Graduate Schools)

• 東京大学, 大学院理学系研究科数学専攻修士課程, 修了

Academic Resume (Undergraduate School/Majors)

• 東京大学, 教養学部理科Ⅰ類, 修了
• 東京大学, 理学部数学科, 卒業

High School

• High School

  大阪府立 北野高等学校

Research History

• From Apr. 2010, To Present

  Kyoto University, Research Institute for Mathematical Sciences, 教授
• From Apr. 2007, To Mar. 2010

  Kyoto University, Research Institute for Mathematical Sciences, 准教授
• From Apr. 2003, To Mar. 2007

  京都大学, 数理解析研究所, 助教授
• From 2002, To 2003

  The University of Tokyo
• From 2003

  - 京都大学 助教授
• From 1994, To 2002

  Tokyo Institute of Technology
• From 1990

  - 東京大学 助手

Language of Instruction

• English

ID,URL

• J-Global ID

  200901039208833261

• External link

  http://www.kurims.kyoto-u.ac.jp/~tomotada

Website(s) (URL(s))

• http://www.kurims.kyoto-u.ac.jp/~tomotada

researchmap URL

• https://researchmap.jp/read0007858

Research

Research Topics, Overview of the research

• Research Topics

  Quantum Topology

• Overview of the research

  I study quantum topology, in particular, invariants of knots and 3-manifolds.

Research Interests

• 位相幾何学
• Topology

Research Areas

• Natural sciences, Geometry

Papers

• A refinement of the LMO invariant for 3-manifolds with the first Betti number 1

  Tomotada Ohtsuki

  International Journal of Mathematics, 24 Apr. 2024, Peer-reviewed

  
• On the Quantum SU(2) Invariant at $$q\,{\hbox {= } }\,\exp (4\pi \sqrt{-1}/N)$$ and the Twisted Reidemeister Torsion for Some Closed 3-Manifolds

  Tomotada Ohtsuki; Toshie Takata

  Communications in Mathematical Physics, Aug. 2019, Peer-reviewed

  
• On the asymptotic expansion of the quantum SU(2) invariant at q =exp(4π∕N) for closed hyperbolic 3–manifolds obtained by integral surgery along the figure-eight knot

  Tomotada Ohtsuki

  Algebraic & Geometric Topology, 11 Dec. 2018, Peer-reviewed

  
• On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings

  TOMOTADA OHTSUKI; YOSHIYUKI YOKOTA

  Mathematical Proceedings of the Cambridge Philosophical Society, Sep. 2018, Peer-reviewed

  
• On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings

  Tomotada Ohtsuki

  INTERNATIONAL JOURNAL OF MATHEMATICS, Dec. 2017, Peer-reviewed

  
• On the asymptotic expansion of the kashaev invariant of the 52 knot

  Tomotada Ohtsuki

  Quantum Topology, 2016, Peer-reviewed

  
• On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots

  Tomotada Ohtsuki; Toshie Takata

  GEOMETRY & TOPOLOGY, 2015, Peer-reviewed

  
• The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant

  Takahito Kuriya; Thang T. Q. Le; Tomotada Ohtsuki

  JOURNAL OF TOPOLOGY, 2012, Peer-reviewed

  
• Perturbative invariants of 3-manifolds with the first Betti number 1

  Tomotada Ohtsuki

  GEOMETRY & TOPOLOGY, 2010, Peer-reviewed

  
• INVARIANTS OF KNOTS DERIVED FROM EQUIVARIANT LINKING MATRICES OF THEIR SURGERY PRESENTATIONS

  Tomotada Ohtsuki

  INTERNATIONAL JOURNAL OF MATHEMATICS, Jul. 2009, Peer-reviewed

  
• Epimorphisms between 2-bridge link groups

  T. Ohtsuki; R. Riley; M. Sakuma

  Geometry & Topology Monographs 14 / 417--450, 2008, Peer-reviewed

  
• Vanishing of 3-loop Jacobi diagrams of odd degree

  Daniel Moskovich; Tomotada Ohtsuki

  JOURNAL OF COMBINATORIAL THEORY SERIES A, Jul. 2007, Peer-reviewed

  
• Equivariant quantum invariants of the infinite cyclic covers of knot complements

  Tomotada Ohtsuki

  Intelligence of Low Dimensional Topology 2006, World Scientific Publishing Co., Inc, 2007, Peer-reviewed

  
• On the 2-loop polynomial of knots

  Tomotada Ohtsuki

  GEOMETRY & TOPOLOGY, 2007, Peer-reviewed

  
• A cabling formula for the 2-loop polynomial of knots

  T Ohtsuki

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Sep. 2004, Peer-reviewed

  
• Problems on invariants of knots and 3 manifolds

  大槻知忠

  Ohtsuki (ed.), Invariants of knots and 3-manifolds (Kyoto 2001), 377-572, Geom. Topol. Monogr. 4 ， Geom. Topol. Publ., Coventry, 2004., 2004, Peer-reviewed

  
• Quantum invariants, - A study of knots, and their sets

  大槻 知忠

  Series on Knots and Everything, 29. World Scientific Publishing Co., Inc.,, 2002, Peer-reviewed

  
• Finite type invariants of knots via their Seifert matrices

  大槻 知忠

  Asian J. Math.,5/,379--386, 2001, Peer-reviewed

  
• The perturbative SO(3) invariant of rational homology 3-spheres recovers from the universal perturbative invariant

  T Ohtsuki

  TOPOLOGY, Nov. 2000, Peer-reviewed

  
• A three-manifold invariant via the Kontsevich integral

  TTQ Le; H Murakami; J Murakami; T Ohtsuki

  OSAKA JOURNAL OF MATHEMATICS, Jun. 1999, Peer-reviewed

  
• How to construct ideal points of SL2(C) representation spaces of knot groups

  T Ohtsuki

  TOPOLOGY AND ITS APPLICATIONS, May 1999, Peer-reviewed

  
• On a universal perturbative invariant of 3-manifolds

  TTQ Le; J Murakami; T Ohtsuki

  TOPOLOGY, May 1998, Peer-reviewed

  
• On finite type 3-manifold invariants - III: Manifold weight systems

  S Garoufalidis; T Ohtsuki

  TOPOLOGY, Mar. 1998, Peer-reviewed

  
• On finite type 3-manifold invariants - III: Manifold weight systems

  S Garoufalidis; T Ohtsuki

  TOPOLOGY, Mar. 1998, Peer-reviewed

  
• HOMFLY polynomial via an invariant of colored planar graphs

  大槻 知忠

  Enseign. Math.,44/,325-360, 1998, Peer-reviewed

  
• Topological quantum field theory for the universal quantum invariant

  J Murakami; T Ohtsuki

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Oct. 1997, Peer-reviewed

  
• Quantum SU(3) invariant of 3-manifolds via linear skein theory

  T Ohtsuki; S Yamada

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Jun. 1997, Peer-reviewed

  
• Quantum Sp(2) invariants of three-manifolds at eighth and tenth roots of unity

  H Murakami; T Ohtsuki

  GEOMETRY AND PHYSICS, 1997, Peer-reviewed

  
• On finite type 3-manifold invariants .5. Rational homology 3-spheres

  S Garoufalidis; T Ohtsuki

  GEOMETRY AND PHYSICS, 1997, Peer-reviewed

  
• Quantum Sp(n) invariant of links via an invariant of colored planar graphs

  大槻 知忠

  Kobe journal of mathematics, Dec. 1996, Peer-reviewed

  
• A polynomial invariant of rational homology 3-spheres

  T Ohtsuki

  INVENTIONES MATHEMATICAE, Mar. 1996, Peer-reviewed

  
• Finite type invariants of integral homology 3-spheres

  T Ohtsuki

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Feb. 1996, Peer-reviewed

  
• A 3-MANIFOLD INVARIANT DERIVED FROM THE UNIVERSAL VASSILIEV-KONTSEVICH INVARIANT

  TQT LE; H MURAKAMI; J MURAKAMI; T OHTSUKI

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jun. 1995, Peer-reviewed

  
• IDEAL POINTS AND INCOMPRESSIBLE SURFACES IN 2-BRIDGE KNOT COMPLEMENTS

  T OHTSUKI

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jan. 1994, Peer-reviewed

  
• Colored ribbon Horf algebras and universal invariants of framed links

  大槻 知忠

  J. Knot Theory and Its Rami,/2,211-232, 1993, Peer-reviewed

  
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM LINKING MATRICES OF FRAMED LINKS

  H MURAKAMI; T OHTSUKI; M OKADA

  OSAKA JOURNAL OF MATHEMATICS, Sep. 1992, Peer-reviewed

  
• Invariants of colored links

  大槻 知忠

  Journal of Knot Theory and Its Ramifications,1/,2, 1992, Peer-reviewed

  

Misc.

• Problems on Low-dimensional Topology, 2013 (Intelligence of Low-dimensional Topology)

  Ohtsuki Tomotada

  数理解析研究所講究録, Dec. 2013

  Access this misc :

  
• Intelligence of Low ― dimensional Topology

  大槻 知忠

  （外73 名） 22. 6. 2～22. 6. 4, 2010, Peer-reviewed

  
• A refinement of the LMO invariant for 3-manifolds with the first Betti number 1

  Tomotada Ohtsuki

  研究集会「トポロジーとその応用国際会議」 (International Conference on Topology and Its Applications), 12 月5 日( 水), 2007, Peer-reviewed

  
• A filtration of the set of integral homology 3-spheres

  大槻 知忠

  Proceedings of ICM, Berlin,ICM98/II,478-482, 1998, Peer-reviewed

  
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM UNIVERSAL INVARIANTS OF FRAMED LINKS

  T OHTSUKI

  MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Mar. 1995, Peer-reviewed

  
• A POLYNOMIAL INVARIANT OF INTEGRAL HOMOLOGY 3-SPHERES

  T OHTSUKI

  MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Jan. 1995, Peer-reviewed

  
• A Three-Manifold Invaviaut Derived from the Univeral Vassiliev-Kontsevich Invariant

  大槻 知忠

  Proc.Japan Acad.,71/,125-127, 1995, Peer-reviewed

  

Presentations

• On the asymptotic expansion of the quantum ${\rm\bf SU}(2)$ invariant at $q = \exp(4\pi\sqrt{-1}/N)$ for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot

  OHTSUKI Tomotada

  Volume conjecture and quantum topology, 06 Sep. 2016, Invited

  
• On the asymptotic expansion of the Kashaev invariant of some hyperbolic knots

  OHTSUKI Tomotada

  Braids, Configuration Spaces and Quantum Topology, 07 Sep. 2015, Invited

  
• 結び目のKashaev不変量の漸近展開について

  大槻 知忠

  多様体のトポロジーの展望, 28 Nov. 2014, Invited

  
• On the asymptotic expansion of the Kashaev invariant of knots

  OHTSUKI Tomotada

  The 3rd GCOE Workshop for Young Mathematicians, 20 Feb. 2012, Invited

  
• ベッチ数が1の3次元多様体に対するLMO不変量の精密化と摂動的不変量

  大槻 知忠

  トポロジーシンポジウム, 06 Aug. 2008, Invited

  
• A refinement of the LMO invariant for 3-manifolds with the first Betti number 1

  OHTSUKI Tomotada

  Finite type invariants, fat graphs and Torelli-Johnson-Morita theory, 01 Apr. 2008, Invited

  
• A refinement of the LMO invariant for 3-manifolds with the first Betti number 1

  OHTSUKI Tomotada

  International Conference on Topology and its Applications 2007, 05 Dec. 2007, Invited

  
• A perturbative invariant of 3-manifolds with the first Betti number 1

  OHTSUKI Tomotada

  Geometric Topology Conference, 09 Jun. 2007, Invited

  
• Equivariant quantum invariants of the infinite cyclic cover of knots complements

  OHTSUKI Tomotada

  Intelligence of Low Dimensional Topology 2006, 23 Jul. 2006, Invited

  
• On invariants of knots and 3-manifolds

  大槻 知忠

  多様体のトポロジーの未来へ, 11 Nov. 2004, Invited

  
• The 2-loop polynomial for knots of genus 1

  OHTSUKI Tomotada

  First KOOK seminar international for knot theory and related topics, 10 Jul. 2004

  
• 結び目の2ループ多項式のケーブル化公式

  大槻 知忠

  Intelligence of low-dimensional topology, 19 Nov. 2003, Invited

  
• 結び目と3次元多様体の不変量

  大槻 知忠

  日本数学会年会, 24 Mar. 2003, Invited

  
• Perturbative invariants and the LMO Invariants

  OHTSUKI Tomotada

  Institute of Fourier, Jul. 1999, Invited

  
• erturbative, finite Type, and LMO Invariants I, II

  OHTSUKI Tomotada

  University of Bern, May 1999, Invited

  
• 3次元多様体の有限型不変量

  大槻 知忠

  日本数学会年会, Mar. 1999, Invited

  
• Habiro's claspers and finite type invariants of 3-manifolds

  OHTSUKI Tomotada

  University of Nantes, Nov. 1998, Invited

  
• Finite type invariants of knots via their Seifert matrices

  OHTSUKI Tomotada

  University of Paris 7, Nov. 1998

  
• On topological quantum field theory for the universal perturbative invariant

  OHTSUKI Tomotada

  Aarhus University, Oct. 1998, Invited

  
• A filtration of the set of integral homology 3-spheres

  OHTSUKI Tomotada

  International Congress of Mathematicians, Aug. 1998, Invited

  
• Primitive finite type invariants of integral homology 3-spehres

  OHTSUKI Tomotada

  The sixth Japan-Korea school of knots and links, Feb. 1998, Invited

  
• The perturbative $SO(3)$ invariant of homology circles

  OHTSUKI Tomotada

  Low dimensional topology conference, Jan. 1998, Invited

  
• 3次元多様体の摂動的不変量と有限型不変量と普遍摂動的不変量

  大槻 知忠

  日本数学会秋季総合分科会, Sep. 1997, Invited

  
• The perturbative quantum $SO(3)$ invariant of 3-manifolds recovers from the universal perturbative invariant

  OHTSUKI Tomotada

  Workshop on Combinatorial problems arising in knots and 3-manifolds, Jan. 1997, Invited

  
• A universal quantum invariant of 3-manifolds

  大槻 知忠

  Art of low dimensional topology II, 30 Nov. 1995, Invited

  
• On finite type invariants of integral homology 3-spheres

  OHTSUKI Tomotada

  Workshop on Quantum invariants of 3-manifolds, Aug. 1995, Invited

  
• An invariant of 3-manifolds derived from universal Vassiliev invariant

  大槻 知忠

  日本数学会年会, Mar. 1995, Invited

  
• Quantum $Sp(n)$ invariants of links via invariants of colored planar graphs

  大槻 知忠

  Art of Low Dimensional Topology, Nov. 1994, Invited

  
• HOMFLY polynomial via an invariant of colored planar graphs

  大槻 知忠

  トポロジーシンポジウム, Jul. 1994, Invited

  
• Quantum $SU(3)$ invariants via linear skein theory

  大槻 知忠

  Tsuda Topology Symposium, Mar. 1994, Invited

  
• Vassiliev type invariants of integral homology 3-spheres

  大槻 知忠

  Gauge theory and low dimensional manifolds, Dec. 1993, Invited

  
• A polynomial invariant of rational homology 3-spheres

  大槻 知忠

  Topological invariants and related topics, Oct. 1993, Invited

  
• Invariants of 3-manifolds derived from universal invariants of framed links

  大槻 知忠

  Tsuda Topology Symposium, Feb. 1993, Invited

  
• Invariants of 3-manifolds derived from universal invariants of framed links

  大槻 知忠

  Topological invariants related to quantum theory and gauge theory, Oct. 1992, Invited

  

Books and Other Publications

• 幾何学と物理

  大槻, 知忠; 満渕, 俊樹; 亀谷, 幸生

  朝倉書店, Dec. 2023

  Find Kyoto University's collection of books :

  
• 結び目の不変量

  大槻 知忠, Single work

  共立出版, Jun. 2015, Not refereed

  
• Problems on invariants of knots and 3-manifolds, Invariants of knots and 3-manifolds (Kyoto 2001)

  T. Ohtsuki

  377-572, Geom. Topol. Monogr. 4, Geom. Topol. PubL, Coventry, 2004., 2004, Not refereed

  
• Quantum invariants, - A study of knots, 3-manifolds, and their sets, Series on Knots and Everything, 29

  大槻 知忠, Single work

  World Scientific Publishing Co., Inc., 2002, Not refereed

  
• Combinatorial quantum method in 3-dimensional topology

  大槻 知忠

  MSJ Memoris, 3, Math. Soc. Japan,, 1999, Not refereed

  
• 量子不変量---3次元トポロジーと数理物理の遭遇

  大槻 知忠

  日本評論社,, 1999, Not refereed

  

Awards

• 19 Apr. 2023

  令和5年度 科学技術分野の文部科学大臣表彰 科学技術賞(研究部門)
• 2001

  財団法人 手島工業教育資金団, 財団法人 手島工業教育資金団 藤野研究賞
• 1998

  日本数学会, 日本数学会 幾何学賞
• 2003

  日本数学会, 日本数学会賞　春季賞
• 2008

  日本学術振興会, 日本学術振興会賞

External funds: Kakenhi

• ３次元双曲多様体上の量子トポロジー

  Grant-in-Aid for Scientific Research (A)

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

  Kyoto University

  大槻 知忠

  From 05 Apr. 2021, To 31 Mar. 2026, Granted

  結び目;３次元多様体;不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04428/
• 配置空間の手法による高次元結び目の不変量

  Grant-in-Aid for JSPS Fellows

  Basic Section 11020:Geometry-related

  Kyoto University

  大槻 知忠

  From 13 Nov. 2020, To 31 Mar. 2023, Granted

  結び目;３次元多様体;不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20F20726/
• ゲージ理論に関連する３次元双曲多様体の不変量

  Grant-in-Aid for Challenging Research (Exploratory)

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

  Kyoto University

  大槻 知忠

  From 28 Jun. 2019, To 31 Mar. 2025, Granted

  結び目;３次元多様体;不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K21830/
• Interrelation between quantum and contact topology via braid group methods

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11020:Geometry-related

  Kyoto University

  伊藤 哲也

  From 01 Apr. 2019, To 31 Mar. 2025, Granted

  正組みひも;結び目;低次元トポロジー;正結び目;矯飾的手術;矯飾的交差;組みひも群;オープンブック分解;接触幾何;量子トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03490/
• Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11020:Geometry-related

  Osaka University

  Seiichi Kamada

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

  トポロジー;低次元トポロジー;４次元;グラフィクス;曲面結び目;曲面ブレイド;結び目理論;仮想結び目;ブレイド;カンドル;４次元トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H01788/
• Solving the smooth unknotting conjecture in dimension four

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11020:Geometry-related

  Osaka Metropolitan University;Osaka City University

  Takao Matumoto

  From 01 Apr. 2018, To 31 Mar. 2023, Project Closed

  トポロジー;２次元結び目;２次元ブレイド;チャート図の変形;マルコフ型定理;４次元トポロジー;直交２ハンドル組;2次元滑らか結び目;解け予想;2次元ブレイド;カスプ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03306/
• Quantum topology and invariants of knots and 3-manifolds related to gauge theory

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Tomotada Ohtsuki

  From 01 Apr. 2016, To 31 Mar. 2020, Project Closed

  結び目;３次元多様体;不変量;低次元トポロジー;量子トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K13754/
• Quantum Topology of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Tomotada Ohtsuki

  From 01 Apr. 2016, To 31 Mar. 2021, Project Closed

  結び目;3次元多様体;不変量;３次元多様体;低次元トポロジー;量子トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H02145/
• 結び目と３次元多様体の有限型不変量と量子不変量

  Grant-in-Aid for JSPS Fellows

  Kyoto University

  大槻 知忠

  From 07 Oct. 2016, To 31 Mar. 2019, Project Closed

  結び目;３次元多様体;不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16F16716/
• Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

  Grant-in-Aid for Scientific Research (B)

  Osaka City University

  SEIICHI KAMADA

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

  トポロジー;４次元;グラフィクス;曲面結び目;はめ込み曲面絡み目;マーカー付きグラフ図式;カンドル;１ハンドル;４次元トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26287013/
• Topology of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Tomotada Ohtsuki

  From 01 Apr. 2012, To 31 Mar. 2017, Project Closed

  結び目;３次元多様体;不変量;低次元トポロジー;量子トポロジー;3次元多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24340012/
• Studies of knot theory and their applications

  Grant-in-Aid for Scientific Research (A)

  Osaka City University

  Akio KAWAUCHI

  From 01 Apr. 2012, To 31 Mar. 2017, Project Closed

  結び目理論;トポロジー;物理;化学;生物

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24244005/
• Generalization of quandles and their applications

  Grant-in-Aid for Challenging Exploratory Research

  Osaka City University;Hiroshima University

  SEIICHI KAMADA

  From 01 Apr. 2011, To 31 Mar. 2014, Project Closed

  トポロジー;カンドル;結び目;バイカンドル;対称カンドル;高次元結び目;仮想結び目

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654027/
• Equivariant invariants of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Tomotada OHTSUKI

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

  結び目;3 次元多様体;不変量;３次元多様体;3次元多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540077/
• Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

  Grant-in-Aid for Scientific Research (B)

  Osaka City University;Hiroshima University

  SEIICHI KAMADA

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

  トポロジー;４次元;グラフィクス;カンドル;結び目;レフシェツ・ファイバー束;モノドロミー;チャート;曲面結び目;４次元トポロジー;4次元トポロジー;バイカンドル;4次元;対称カンドル

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340015/
• Invariants of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Tomotada OHTSUKI

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

  結び目;3次元多様体;不変量;被覆空間;同変不変量;摂動的不変量;LMO不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540073/
• 多様体対への可微分写像に対する有限型不変量の定式化とその応用

  Grant-in-Aid for Exploratory Research

  Kyushu University

  佐伯 修

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

  同境;カスプ特異点;特異ファイバー;符号数;有限型不変量;モース写像;可微分写像;特異点;写像芽;安定摂動;カスプ;分類空間;多様体対;K同値;特性類

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18654014/
• Geometry and Invariants of 3-manifolds

  Grant-in-Aid for Scientific Research (A)

  Tokyo Institute of Technology

  Sadayoshi KOJIMA

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

  位相幾何;3次元トポロジー;双曲幾何;幾何構造;位相不変量;体積;錐多様体;2次特性類;葉層構造

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18204004/
• Invariants of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Tomotada OHTSUKI

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

  結び目;3次元多様体;不変量;2ループ多項式;量子不変量;同変不変量, knot;3-manifold;invariant

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17540073/
• Invariants of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Tomotada OHTSUKI

  From 01 Apr. 2003, To 31 Mar. 2005, Project Closed

  結び目;3次元多様体;不変量;Kontsevich不変量;ループ多項式;2ループ多項式, Knot;3-manifold;Invariant;Kontsevich invariant;2-loop polynomial

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15540063/
• Geometry and topology of 3-manifolds II

  Grant-in-Aid for Scientific Research (A)

  TOKYO INSTITUTE OF TECHNOLOGY

  Sadayoshi KOJIMA

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

  双曲幾何;錘多様体;3次元トポロジー;2次特性類;層状構造;葉層構造;幾何構造;体積;錐多様体;双曲幾何学, hyperboloic geometry;cone manifold;3-dimensional topology;secondary characteristic class;lamination;foliation;geometric structure;volume

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15204004/
• Topology related to invariants of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo;Tokyo Institute of Technology

  Tomotada OHTSUKI

  From 01 Apr. 2001, To 31 Mar. 2003, Project Closed

  結び目;3次元多様体;不変量, knot;3-manifold;invariant

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640064/
• 低次元トポロジーの総合的研究

  Grant-in-Aid for Scientific Research (B)

  Tokyo Institute of Technology

  Hitoshi MURAKAMI

  From 01 Apr. 2001, To 31 Mar. 2003, Project Closed

  結び目;3次元多様体;量子不変量;低次元トポロジー;グラフ;絡み目, knot;3-manifold;quantum ivariant;lowdimensional topology;graph

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440018/
• Geometry and Topology of 3-Manifolds

  Grant-in-Aid for Scientific Research (B)

  Tokyo Institute of Technology

  Sadayoshi KOJIMA

  From 01 Apr. 2000, To 31 Mar. 2003, Project Closed

  双曲幾何学;錐多様体;3次元トポロジー;2次特性類;層状構造;葉層構造;幾何構造;体積予想, hyperbolic geometry;cone-manifold;3-dimensional topology;secondary characteristic class;lamination;foliation;geometric structure;volume conjecture

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440015/
• Topology of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Tomotada OHTSUKI

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

  結び目;3次元多様体;量子不変量;LMO不変量;有限型不変量;体積予想;双曲幾何, Knot;3-manifold;Quantum Invariant;Kontsevich Invariant;Vassiliev Invariant;Perturbative invariant;The LMO Invariant;Finite Type Invariant

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640065/
• Deformation of cone-manifolds and topology of 3-mainfolds

  Grant-in-Aid for Scientific Research (B)

  Tokyo Institute of Technology

  Sadayoshi KOJIMA

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

  双曲幾何学;錐多様体;3次元多様体;変形;幾何構造;剛体性;Dehn手術;結び目;3次元トポロジー, hyperbolic geometry;cone-manifold;3-manifold;deformation;geometric structure;rigidity;Dehn filling;knot

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440017/
• Monodromy calculus in low dimensional topology and "racks".

  Grant-in-Aid for Scientific Research (B)

  The University of Tokyo

  Yuki MASUMOTO

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

  ラック;レフシェツ・ファイバー空間;モノドロミー;ブレイド群, racks;Lefschetz fibration;monodromy;braid group

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440015/
• Topology of knots and 3-manifolds

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Tomotada OHTSUKI

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

  結び目;有限型不変量;Seifert行列;コボルディズム;3次元多様体;量子不変量;摂動的不変量;位相量子場の理論, Knot;3-manifold;Finite Type Invariant;Perturbative;The LMO Invariant

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640093/
• 型理論とその周辺

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  寶来 正子

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

  型理論;ラムダ計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640256/
• 多様体の幾何構造変形の可視化

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  小島 定吉

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

  多様体;双曲多様体;幾何構造;Dehn手術;可視化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640092/
• 3次元多様体のトポロジー

  Grant-in-Aid for Scientific Research on Priority Areas

  Tokyo Institute of Technology

  大槻 知忠

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

  位相幾何学;3次元多様体;結び目;絡み目;不変量;量子不変量;有限型不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08211217/
• 作用素環論における分類問題の研究とその応用

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

  The University of Tokyo

  河東 泰之

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

  部分因子環;パラグループ;コセット構成;オービフォールド構成;位相不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640153/
• 3次元多様体のトポロジーと場の理論

  Grant-in-Aid for Scientific Research on Priority Areas

  The University of Tokyo

  牛腸 徹

  From 01 Apr. 1992, To 31 Mar. 1993, Project Closed

  可解模型;絡み目の不変量;3次元多様体の位相不変量;Chem-Simms gange理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04245209/
• Re-examination of classical problems in low-dimensional topology from higher invariants

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11020:Geometry-related

  Kyoto University

  伊藤 哲也

  From 01 Apr. 2023, To 31 Mar. 2027, Granted

  デーン手術;矯飾的手術;低次元トポロジー;基本群;三次元多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K03110/

External funds: others

• 結び目と3次元多様体の不変量に関するトポロジー

  井上科学振興財団、国際研究集会開催経費援助

  From Apr. 2001, To Mar. 2002

  大槻知忠

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology b

  1290, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology a

  1289, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology d

  1292, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology c

  1291, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology c

  1291, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology b

  1290, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology a

  1289, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology d

  1292, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology a

  1289, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology d

  1292, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology c

  1291, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology b

  1290, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology a

  1289, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology d

  1292, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology b

  1290, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology c

  1291, Spring, Graduate School of Science, 3
• From Apr. 2011, To Mar. 2012

  位相幾何セミナー研究Ａ

  Spring, 理学研究科
• From Apr. 2011, To Mar. 2012

  位相幾何セミナー研究Ｂ

  Fall, 理学研究科
• From Apr. 2011, To Mar. 2012

  位相幾何セミナー研究Ｃ

  Spring, 理学研究科
• From Apr. 2011, To Mar. 2012

  位相幾何セミナー研究Ｄ

  Fall, 理学研究科
• From Apr. 2011, To Mar. 2012

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Seminar on Topology A

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

  Seminar on Topology B

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

  Seminar on Topology C

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

  Seminar on Topology D

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

  Seminar on Topology A

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

  Seminar on Topology B

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

  Seminar on Topology C

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

  Seminar on Topology D

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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2016, To Mar. 2017

  Seminar on Topology A

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

  Seminar on Topology B

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

  Seminar on Topology C

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

  Seminar on Topology D

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

  Seminar on Topology A

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

  Seminar on Topology B

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

  Seminar on Topology C

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

  Seminar on Topology D

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

  Seminar on Topology a

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

  Seminar on Topology b

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

  Seminar on Topology c

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

  Seminar on Topology d

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

  Seminar on Topology a

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

  Seminar on Topology b

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

  Seminar on Topology c

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

  Seminar on Topology d

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

  Seminar on Topology a

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

  Seminar on Topology b

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

  Seminar on Topology c

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

  Seminar on Topology d

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

  Special study course (Mathematical Science)

  Year-long, 理学部
• From Apr. 2021, To Mar. 2022

  Seminar on Topology a

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

  Seminar on Topology b

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

  Seminar on Topology c

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

  Seminar on Topology d

  Fall, 理学研究科

Administration

School management (title, position)

• From 01 Apr. 2019, To 31 Mar. 2020

  京都大学学際融合教育研究推進センタースーパーグローバルコース数学系ユニット構成員
• From 01 Apr. 2023, To 31 Mar. 2025

  京都大学人権委員会委員
• From 01 Apr. 2010, To 30 Sep. 2010

  吉田キャンパス整備専門委員会委員会 委員
• From 01 Apr. 2015, To 31 Mar. 2017

  FD研究検討委員会 委員
• From 01 Apr. 2015, To 01 Apr. 2017

  FD研究検討委員会 委員
• From 01 Apr. 2017, To 11 Apr. 2017

  大学評価委員会点検・評価実行委員会 委員
• From 01 Apr. 2018, To 31 Mar. 2020

  数理解析学系長

Faculty management (title, position)

• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科会議構成員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科数学・数理解析専攻連絡会構成員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科数学・数理解析専攻数理解析系主任
• From 01 Apr. 2019, To 31 Mar. 2020

  理学研究科大学院教育教務委員会委員
• From 01 Apr. 2022, To 31 Mar. 2024

  数理解析学系　副学系長
• From 01 Apr. 2013, To 31 Mar. 2014

  数理解析研究所副所長
• 予算委員会　委員
• From 01 Apr. 2013, To 31 Mar. 2014

  人権問題委員会　委員
• From 01 Apr. 2013, To 31 Mar. 2014

  省エネルギー推進委員会　委員
• From 01 Apr. 2020, To 31 Mar. 2022

  数理解析学系　副学系長
• From 01 Apr. 2021, To 31 Mar. 2022

  男女共同参画WG　委員