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, 助教

Faculty

• 理学部

Academic Degree

• 修士（数理科学）(東京大学)
• 博士（数理科学）(東京大学)

Research History

• Kyoto University

ID,URL

• ORCID ID

  0000-0001-8156-1341

• J-Global ID

  201401072034454255

researchmap URL

• https://researchmap.jp/7000009413

Research

Research Topics, Overview of the research

• Research Topics

  Braid groups, Orderable groups, Low-dimensional Topology

• Overview of the research

  I am studying topology, geometry and algbera (group theory) concerning the braid groups and orderable groups. In particular, I am intersted in a construction of highly non-trivial orderings on groups, or an application of orderings to topology.

Research Areas

• Natural sciences, Geometry

Papers

• Generalized torsion orders and Alexander polynomials

  Tetsuya Ito

  Canadian Mathematical Bulletin, Jun. 2025

  
• On homogeneous quasipositive links

  Tetsuya Ito

  Journal of Knot Theory and Its Ramifications, Oct. 2022

  
• On a group whose generalized torsion elements are torsion elements

  Tetsuya Ito

  Communications in Algebra, 29 Sep. 2023, Peer-reviewed

  
• A remark on the finiteness of purely cosmetic surgeries

  Tetsuya Ito

  Algebraic & Geometric Topology, 25 Jul. 2023, Peer-reviewed

  
• A note on knot fertility. II

  T. Ito

  Acta Mathematica Hungarica, 04 Apr. 2023, Peer-reviewed

  
• Generalized torsion for hyperbolic 3‐manifold groups with arbitrary large rank

  Tetsuya Ito; Kimihiko Motegi; Masakazu Teragaito

  Bulletin of the London Mathematical Society, 27 Dec. 2022, Peer-reviewed

  
• A quantitative Birman–Menasco finiteness theorem and its application to crossing number

  Tetsuya Ito

  Journal of Topology, 11 Sep. 2022, Peer-reviewed

  
• Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures

  Tetsuya Ito

  Geometriae Dedicata, 23 Aug. 2022, Peer-reviewed

  Access this paper :

  
• On constraints for knots to admit chirally cosmetic surgeries and their calculations

  Kazuhiro Ichihara; Tetsuya Ito; Toshio Saito

  Pacific Journal of Mathematics, 31 Dec. 2022

  
• A note on HOMFLY polynomial of positive braid links

  Tetsuya Ito

  International Journal of Mathematics, Mar. 2022, Peer-reviewed

  
• Positivities of Knots and Links and the Defect of Bennequin Inequality

  Jesse Hamer; Tetsuya Ito; Keiko Kawamuro

  Experimental Mathematics, 02 Jan. 2022, Peer-reviewed

  
• An obstruction of Gordian distance one and cosmetic crossings for genus one knots

  Tetsuya Ito

  New York Journal of Mathematics, Jan. 2022, Peer-reviewed, Lead author

  Access this paper :

  
• Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial

  Tetsuya Ito

  Proceedings of the American Mathematical Society, 04 Nov. 2021, Peer-reviewed

  
• A NONDEGENERATE EXCHANGE MOVE ALWAYS PRODUCES INFINITELY MANY NONCONJUGATE BRAIDS

  TETSUYA ITO

  Nagoya Mathematical Journal, 02 Sep. 2021

  
• Generalized torsion and Dehn filling

  Tetsuya Ito; Kimihiko Motegi; Masakazu Teragaito

  Topology and its Applications, Sep. 2021

  
• Nontrivial Elements in a Knot Group That are Trivialized by Dehn Fillings

  Tetsuya Ito; Kimihiko Motegi; Masakazu Teragaito

  International Mathematics Research Notices, 24 May 2021

  
• A Note on Chirally Cosmetic Surgery on Cable Knots

  Tetsuya Ito

  Canadian Mathematical Bulletin, Mar. 2021

  
• Flat plumbing basket and contact structure

  Tetsuya Ito; Keiji Tagami

  Journal of Knot Theory and Its Ramifications, Feb. 2021

  
• Chirally Cosmetic Surgeries and Casson Invariants

  Kazuhiro ICHIHARA; Tetsuya ITO; Toshio SAITO

  Tokyo Journal of Mathematics, 01 Jan. 2021

  
• A NOTE ON KNOT FERTILITY

  Tetsuya ITO

  Kyushu Journal of Mathematics, 2021

  
• Mutation invariance for the zeroth coefficients of colored HOMFLY polynomial

  Tetsuya Ito

  Kodai Mathematical Journal, Mar. 2020, Peer-reviewed

  
• On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in $S^3$

  Tetsuya Ito

  Communications in Analysis and Geometry, 2020, Peer-reviewed, Lead author

  
• Quasi-right-veering braids and nonloose links

  Tetsuya Ito; Keiko Kawamuro

  Algebraic & Geometric Topology, 20 Oct. 2019, Peer-reviewed

  
• Generalized torsion and decomposition of $3$–manifolds

  Tetsuya Ito; Kimihiko Motegi; Masakazu Teragaito

  Proceedings of the American Mathematical Society, 09 Jul. 2019, Peer-reviewed

  
• Topological formula of the loop expansion of the colored Jones polynomials

  Tetsuya Ito

  Transactions of the American Mathematical Society, 25 Mar. 2019, Peer-reviewed

  
• Invariant ordering of groups and topology

  Tetsuya Ito

  Sugaku Expositions, 21 Mar. 2019, Peer-reviewed

  
• The defect of Bennequin-Eliashberg inequality and Bennequin surfaces

  Tetsuya Ito; Keiko Kawamuro

  Indiana University Mathematics Journal, 2019, Peer-reviewed

  
• Positive factorizations of symmetric mapping classes

  Tetsuya Ito; Keiko Kawamuro

  J. Math. Soc. Japan, 2019, Peer-reviewed

  
• On a relation between the self-linking number and the braid index of closed braids in open books

  Tetsuya Ito

  Kyoto Journal of Mathematics, 01 Apr. 2018, Peer-reviewed

  
• A characterization of almost alternating knots

  Tetsuya Ito

  Journal of Knot Theory and its Ramifications, 01 Jan. 2018, Peer-reviewed

  
• Braids, chain of Yang-Baxter like operations, and (transverse) knot invariants

  Tetsuya Ito

  J Knot Theory Ramifications, 2018, Peer-reviewed, Invited

  
• A Garside-theoretic analysis of the Burau representations

  Matthieu Calvez; Tetsuya Ito

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Jun. 2017, Peer-reviewed

  
• Essential open book foliations and fractional Dehn twist coefficient

  Tetsuya Ito; Keiko Kawamuro

  GEOMETRIAE DEDICATA, Apr. 2017, Peer-reviewed

  
• On the 3-dimensional invariant for cyclic contact branched coverings

  Tetsuya Ito

  TOPOLOGY AND ITS APPLICATIONS, Feb. 2017, Peer-reviewed

  
• Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups

  Tetsuya Ito

  NEW YORK JOURNAL OF MATHEMATICS, 2017, Peer-reviewed

  
• On a question of Etnyre and Van Horn-Morris

  Tetsuya Ito; Keiko Kawamuro

  ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017, Peer-reviewed

  
• Curve diagrams for Artin groups of type B

  Tetsuya Ito

  HOKKAIDO MATHEMATICAL JOURNAL, Oct. 2016, Peer-reviewed

  
• Framing functions and a strengthened version of Dehn's lemma

  Tetsuya Ito

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, May 2016, Peer-reviewed

  
• CONSTRUCTION OF ISOLATED LEFT ORDERINGS VIA PARTIALLY CENTRAL CYCLIC AMALGAMATION

  Tetsuya Ito

  TOHOKU MATHEMATICAL JOURNAL, Mar. 2016, Peer-reviewed

  
• A homological representation formula of colored Alexander invariants

  Tetsuya Ito

  ADVANCES IN MATHEMATICS, Feb. 2016, Peer-reviewed

  
• Coverings of Open Books

  Tetsuya Ito; Keiko Kawamuro

  ADVANCES IN THE MATHEMATICAL SCIENCES, 2016, Peer-reviewed

  
• On a structure of random open books and closed braids

  Tetsuya Ito

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Dec. 2015, Peer-reviewed

  
• Cones of certain isolated left orderings and chain domains

  Nazer H. Halimi; Tetsuya Ito

  FORUM MATHEMATICUM, Sep. 2015, Peer-reviewed

  
• ACTIONS OF THE N-STRAND BRAID GROUPS ON THE FREE GROUP OF RANK N WHICH ARE SIMILAR TO THE ARTIN REPRESENTATION

  Tetsuya Ito

  QUARTERLY JOURNAL OF MATHEMATICS, Jun. 2015, Peer-reviewed

  
• A kernel of a braid group representation yields a knot with trivial knot polynomials

  Tetsuya Ito

  MATHEMATISCHE ZEITSCHRIFT, Jun. 2015, Peer-reviewed

  
• Reading the Dual Garside Length of Braids from Homological and Quantum Representations

  Tetsuya Ito

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Apr. 2015, Peer-reviewed

  
• Overtwisted discs in planar open books

  Tetsuya Ito; Keiko Kawamuro

  INTERNATIONAL JOURNAL OF MATHEMATICS, Mar. 2015, Peer-reviewed

  
• Lawrence-Krammer-Bigelow representations and dual Garside length of braids

  Tetsuya Ito; Bert Wiest

  GEOMETRY & TOPOLOGY, 2015, Peer-reviewed

  
• On the self-linking number of transverse links

  Tetsuya Ito; Keiko Kawamuro

  Geometry & Topology Monographs, 2015, Peer-reviewed

  
• 群の不変順序と位相幾何学

  伊藤 哲也

  数学, 2015, Peer-reviewed, Invited

  
• Visualizing Overtwisted Discs in Open Books

  Tetsuya Ito; Keiko Kawamuro

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2014, Peer-reviewed

  
• Open book foliation

  Tetsuya Ito; Keiko Kawamuro

  GEOMETRY & TOPOLOGY, 2014, Peer-reviewed

  
• Operations on open book foliations

  Tetsuya Ito; Keiko Kawamuro

  ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2014, Peer-reviewed

  
• The classification of Wada-type representations of braid groups

  Tetsuya Ito

  JOURNAL OF PURE AND APPLIED ALGEBRA, Sep. 2013, Peer-reviewed

  
• An algorithmic approach to Hurwitz equivalences

  T. Ito

  Hiroshima Mathematical Journal, 2013, Peer-reviewed

  
• How to read the length of a braid from its curve diagram (vol 5, pg 673, 2011)

  Tetsuya Ito; Bert Wiest

  GROUPS GEOMETRY AND DYNAMICS, 2013, Peer-reviewed

  
• Non-left-orderable double branched coverings

  Tetsuya Ito

  ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2013, Peer-reviewed

  
• A Remark on the Alexander Polynomial Criterion for the Bi-orderability of Fibered 3-manifold Groups

  Tetsuya Ito

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, Peer-reviewed

  
• Dehornoy-like left orderings and isolated left orderings

  Tetsuya Ito

  JOURNAL OF ALGEBRA, Jan. 2013, Peer-reviewed

  
• A functor-valued extension of knot quandles

  Tetsuya Ito

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2012, Peer-reviewed

  
• Finite orbits of Hurwitz actions on braid systems

  T. Ito

  Osaka Journal of Mathematics, Sep. 2011, Peer-reviewed

  
• BRAID ORDERING AND KNOT GENUS

  Tetsuya Ito

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Sep. 2011, Peer-reviewed

  
• FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS

  Tetsuya Ito

  JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Jul. 2011, Peer-reviewed

  
• A note on geometric constructions of bi-invariant orderings

  Tetsuya Ito

  TOPOLOGY AND ITS APPLICATIONS, Mar. 2011, Peer-reviewed

  
• Braid ordering and the geometry of closed braid

  Tetsuya Ito

  GEOMETRY & TOPOLOGY, 2011, Peer-reviewed

  
• On finite Thurston-type orderings of braid groups

  Tetsuya Ito

  Groups, Complexity, Cryptology, Dec. 2010, Peer-reviewed

  

Misc.

• Fractional Dehn twist coefficients of closed braids

  伊藤 哲也

  The 9th East Asian School of knots and related topics, 東京大学, 15 Jan. 2013

  
• Non-left-orderability of branched double coverings via "coarse" presentation

  伊藤 哲也

  Branched Coverings, Degenerations, and Related Topics 2012, 広島大学, 05 Mar. 2012

  
• The Lawrence-Krammer-Bigelow representation detects the dual Garside length

  伊藤 哲也

  The 8th East asian school of Knot and Related Topicx, KAIST, 09 Jan. 2012

  
• The openbook foliation method

  伊藤 哲也

  Winter braids II,, University de Caen, 12 Dec. 2011

  

Presentations

• Open book foliation for essential surfaces

  2012 CMS summer meeting, 05 Jun. 2012, Canadian Mathematical Society

  
• Ordering of mapping class groups and contact 3-manifolds

  Ordered groups and Topology, 15 Feb. 2012, Banff International Reserach station

  

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/
• 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/
• 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/
• Topology from a prospect of group invariant orderings and its applications

  Grant-in-Aid for Young Scientists (B)

  Kyoto University;Osaka University

  Ito Tetsuya

  From 01 Apr. 2015, To 31 Mar. 2019, Project Closed

  三次元多様体;接触幾何;組みひも群;オープンブック分解;順序群;一般化ねじれ元;接触構造;強擬正組みひも;擬正組みひも;写像類群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K17540/
• Topology, contact geometry, and fundamental group of 3-manifolds from open book decomposition

  Grant-in-Aid for Research Activity Start-up

  Kyoto University

  Tetsuya ITO

  From 30 Aug. 2013, To 31 Mar. 2015, Project Closed

  三次元多様体;接触幾何;組みひも群;オープンブック分解;３次元トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25887030/
• 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/
• 離散群に潜む新しい構造の発見と解明

  Grant-in-Aid for Scientific Research (A)

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

  Kyoto University

  藤原 耕二

  From 01 Apr. 2025, To 31 Mar. 2029, Granted

  離散群;幾何群論;作用素環;距離幾何;低次元トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25H00588/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Special Lecture on Mathematics 10

  7173, Year-long, Faculty of Science, 1
• From 01 Apr. 2025, To 31 Mar. 2026

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Geometry II

  3162, Fall, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology C

  0522, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology B

  0521, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology A

  0520, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Topology D

  0523, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises B

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

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• 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

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology D

  0523, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology d

  0425, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology c

  0424, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology b

  0423, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology C

  0522, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology B

  0521, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology A

  0520, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Topology a

  0422, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology c

  0424, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology b

  0423, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology a

  0422, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology B

  0521, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology A

  0520, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Topology d

  0425, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Exercises in Geometry II

  3162, Fall, Faculty of Science, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Geometry I

  3102, Spring, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology c

  0424, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology A

  0520, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology b

  0423, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Geometry I

  3102, Spring, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology a

  0422, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology d

  0425, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Topology B

  0521, Fall, Graduate School of Science, 3
• From Apr. 2018, To Mar. 2019

  Advanced Geometry II

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

  Topics in Geometry B

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

  Calculus with Exercises A

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

  Calculus with Exercises B

  Fall, 全学共通科目
• 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. 2018, To Mar. 2019

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Exercises in Geometry II

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

  Advanced Geometry II

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

  Topics in Geometry D

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

  Calculus with Exercises A

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

  Calculus with Exercises B

  Fall, 全学共通科目
• 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. 2019, To Mar. 2020

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises A

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

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Introduction to Geometry

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

  Exercises in Basic Geometry

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

  Calculus with Exercises A

  Spring, 全学共通科目
• 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

  Seminar on Geometry c

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

  Seminar on Geometry 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

  Introduction to Geometry

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

  Exercises in Basic Geometry

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

  Seminar on Geometry c

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

  Seminar on Geometry d

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

  Forefront of Mathematics and Mathematical Science II

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

  Linear Algebra with Exercises A

  Spring, 全学共通科目

Participation in PhD Defense

• GRID HOMOLOGY FOR SPATIAL GRAPHS AND A K■NNETH FORMULA OF CONNECTED SUMS

  KUBOTA HAJIME, Graduate School of Science, Chief Examiner

  24 Mar. 2025
• Self-closeness numbers of rational mapping spaces

  TONG　YICHEN, Graduate School of Science, Sub-chief Examiner

  24 Sep. 2024

Administration

Faculty management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

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

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

  理学研究科SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科社会連携小委員会委員