Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 解析数理講座, 准教授

Academic Degree

• 理学博士(東京大学)

ID,URL

• J-Global ID

  201401094593072358

researchmap URL

• https://researchmap.jp/7000008541

Research

Papers

• Twisted elliptic genera of N=2 SCFTs in two dimensions

  Toshiya Kawai

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2012, Peer-reviewed

  
• Abelian Vortices on Nodal and Cuspidal Curves

  河合俊哉

  JHEP11(2009)111., 2009, Peer-reviewed

  
• Sting and Vortex

  河合俊哉

  Publ. RIMS. Kyoto, Univ.,40 (2004), 1063-1091., 2004, Peer-reviewed

  
• String partition functions and infinite products

  T. Kawai; K. Yoshioka

  Advances in Theoretical and Mathematical Physics, 2000, Peer-reviewed

  
• K3 surfaces, Igusa cusp foりm and string theory

  河合俊哉

  Topological field theory, primitive forms and related topics , 2009 (M. Kashiwara, A. Matsuo, K. Saito and l. Satake, eds.), Progr. Math. 160 ， Birkhauser 1998., 1998, Peer-reviewed

  

External funds: Kakenhi

• Elliptic cohomology and the enumerative geometry of elliptic Calabi-Yau manifolds : Towards the understanding of string dualities

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Toshiya KAWAI

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

  数理物理;代数幾何;素粒子論;カラビーヤウ多様体;弦理論;ボーチャーズ積;楕円種数;双対性;カラビ-ヤウ多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540024/
• Enumerative Geometry of Calabi-Yau Manifolds and String Theory

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Toshiya KAWAI

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

  カラビ-ヤウ多様体;弦理論;ボーチャーズ積;グロモフ-ウイッテン不変量;弦双対性;楕円コホモロジー;ヤコビ形式;F理論;混成弦, Calabi-Yau manifolds;string theory;Boicherds products;Gromov-witten invariants

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540024/
• Problems in Enumerative Geometry Related to String Theory and Their Relations to Automorphic Forms

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Toshiya KAWAI

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

  弦双対性;カラビ・ヤウ多様体;グロモフ・ウィッテン不変量;ヤコヒ形式;楕円コホモロジー;ヤコビ形式;弦理論;双対性;Calabi-Yau多様体;Jacobi形式;不変式論;Gromov-Witten不変量;グロモフ-ウィッテン不変量, String Duality;Calabi-Yau manifolds;Gromov-Witten invariants;Jacobi forms;Elliptic cohomology

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640017/
• Analysis of algebraic and geometrical structure in superstring theory

  Grant-in-Aid for Scientific Research on Priority Areas

  Science and Engineering

  Utsunomiya University;Nagoya University

  Shozo UEHARA

  From 01 Apr. 2001, To 31 Mar. 2007, Project Closed

  M理論;超膜理論;超弦理論;Kaehler多様体;Calabi-Yau多様体;Gromov-Witten不変量;Gopakumar-Vafa不変量;ネクラソフの公式;string theory;M-theory;Green-Schwarz formulation;Hirzebrush曲面;D-branes;Nekrasov's formula;K3 fibre;topological field theory;Gromov-Witten invariant;Dijkgraaf-Vafa proposal;Gopakumar-Vafa invariant;Whitham deformation;Hirzebrush surface;Calabi-Yau manifold;Jacobi ring;Topological field theory;保型関数;Calabi-Yau;Kahler manifold;量子変形;行列モデル;Seiberg-Witten理論;楕円Hecke環;南部括弧;Kajler manifold, M-theory;supermembrane;superstring;Kaehler manifolds;Calabi-Yau manifolds;Gromov-Witten invariants;Gopakumar-Vafa invariants;Nekrasov's formula

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13135212/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Quantum Field Theory a

  1265, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Quantum Field Theory d

  1268, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Quantum Field Theory c

  1267, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Quantum Field Theory b

  1266, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Quantum Field Theory d

  1268, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Quantum Field Theory c

  1267, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Quantum Field Theory b

  1266, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Quantum Field Theory a

  1265, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Quantum Field Theory a

  1265, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Quantum Field Theory d

  1268, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Quantum Field Theory c

  1267, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Quantum Field Theory b

  1266, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Quantum Field Theory c

  1267, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Quantum Field Theory d

  1268, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Quantum Field Theory b

  1266, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Quantum Field Theory a

  1265, Spring, Graduate School of Science, 3
• From Apr. 2011, To Mar. 2012

  数理物理における無限構造セミナー研究Ａ

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

  数理物理における無限構造セミナー研究Ｂ

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

  数理物理における無限構造セミナー研究Ｃ

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

  数理物理における無限構造セミナー研究Ｄ

  Fall, 理学研究科
• From Apr. 2013, To Mar. 2014

  Linear Algebra A

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

  Linear Algebra B

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

  Seminar on Infinite Dimensional Analysis and Geometric Structures in Mathematical Physics A

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

  Seminar on Infinite Dimensional Analysis and Geometric Structures in Mathematical Physics B

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

  Seminar on Infinite Dimensional Analysis and Geometric Structures in Mathematical Physics C

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

  Seminar on Infinite Dimensional Analysis and Geometric Structures in Mathematical Physics D

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

  Linear Algebra A

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

  Linear Algebra B

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

  Seminar on Quantum Field Theory A

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

  Seminar on Quantum Field Theory B

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

  Seminar on Quantum Field Theory C

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

  Seminar on Quantum Field Theory D

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

  Seminar on Quantum Field Theory A

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

  Seminar on Quantum Field Theory B

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

  Seminar on Quantum Field Theory C

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

  Seminar on Quantum Field Theory D

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

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Seminar on Quantum Field Theory A

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

  Seminar on Quantum Field Theory B

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

  Seminar on Quantum Field Theory C

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

  Seminar on Quantum Field Theory D

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

  Seminar on Quantum Field Theory a

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

  Seminar on Quantum Field Theory b

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

  Seminar on Quantum Field Theory c

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

  Seminar on Quantum Field Theory d

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

  Seminar on Quantum Field Theory a

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

  Seminar on Quantum Field Theory b

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

  Seminar on Quantum Field Theory c

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

  Seminar on Quantum Field Theory d

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

  Seminar on Quantum Field Theory a

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

  Seminar on Quantum Field Theory b

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

  Seminar on Quantum Field Theory c

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

  Seminar on Quantum Field Theory d

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

  Seminar on Quantum Field Theory a

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

  Seminar on Quantum Field Theory b

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

  Seminar on Quantum Field Theory c

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

  Seminar on Quantum Field Theory d

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

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

  Spring, 全学共通科目

Participation in PhD Defense

• On the classification of duality defects in c=2 compact boson CFTs with a discrete group orbifold

  FURUTA YUMA, Graduate School of Science, Chief Examiner

  24 Mar. 2025

Administration

Faculty management (title, position)

• From 01 Apr. 2016, To 31 Mar. 2020

  数理解析学系会議　委員