Iritani, Hiroshi(Graduate School of Science, Division of Mathematics and Mathematical Sciences) | Activity Database on Education and Research, Kyoto University

Iritani, Hiroshi

Graduate School of Science, Division of Mathematics and Mathematical Sciences Professor

Last Updated :2025/05/30

Basic Information

Faculty

理学部

Professional Memberships

THE MATHEMATICAL SOCIETY OF JAPAN

Academic Degree

修士（理学）(京都大学)

博士（理学）(京都大学)

Research History

From Apr. 2018, To Present
Kyoto University, 大学院理学研究科数学教室, Professor

From Apr. 2010, To Mar. 2018
Kyoto University, 大学院理学研究科数学教室, Assoicate Professor

From Apr. 2007, To Mar. 2010
Kyushu University, 大学院数理学研究院, Assistant Professor

From Oct. 2006, To Mar. 2007
Kyushu University, 大学院数理学研究院, Assistant Professor

Language of Instruction

English

ID,URL

J-Global ID
201401059843454049
External link
https://www.math.kyoto-u.ac.jp/~iritani/index_ja.html

Website(s) (URL(s))

https://www.math.kyoto-u.ac.jp/~iritani/index.html

https://www.math.kyoto-u.ac.jp/~iritani/index_ja.html

researchmap URL

https://researchmap.jp/7000008925

Last Updated :2025/05/30

Research

Research Interests

クレパント変換予想

フーリエ変換

サイデル表現

シフト作用素

双有理幾何学

quantum cohomology

mirror symmetry

グロモフ・ウィッテン不変量

量子K理論

トーリック多様体

D加群

ホッジ構造

ランダウ・ギンズブルグ模型

齋藤構造

フロベニウス多様体

等モノドロミー変形

ガンマ整構造

ストークス構造

トロピカル幾何

同変コホモロジー

Research Areas

Natural sciences, Geometry

Papers

Gamma classes and quantum cohomology
Hiroshi Iritani
International Congress of Mathematicians, 15 Dec. 2023, Invited, Lead author, Corresponding author

Asymptotics of the banana Feynman amplitudes at the large complex structure limit
Hiroshi Iritani
Advances in Theoretical and Mathematical Physics, 2022, Peer-reviewed, Invited, Lead author, Corresponding author

Gamma conjecture and tropical geometry
Hiroshi Iritani
第66回代数学シンポジウム報告集, 2021, Invited, Lead author

Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties
Hiroshi Iritani; Todor Milanov; Yongbin Ruan; Yefeng Shen
Mem. Amer. Math. Soc., 2021, Peer-reviewed, Lead author

The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods
Mohammed Abouzaid; Sheel Ganatra; Hiroshi Iritani; Nick Sheridan
Geometry & Topology, 29 Dec. 2020, Peer-reviewed

HODGE-THEORETIC MIRROR SYMMETRY FOR TORIC STACKS
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
JOURNAL OF DIFFERENTIAL GEOMETRY, Jan. 2020, Peer-reviewed

Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks
Hiroshi Iritani
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020, Peer-reviewed, Lead author, Corresponding author

Quantum D-module of toric varieties and oscillatory integrals
Hiroshi Iritani
ALM, 2019, Invited, Lead author, Corresponding author

Some applications of the mirror theorem for toric stacks
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2019, Peer-reviewed

Gamma conjecture via mirror symmetry
Sergey Galkin; Hiroshi Iritani
Advanced Studies in Pure Mathematics, 2019, Peer-reviewed, Corresponding author

A Fock sheaf for Givental quantization
Coates Tom; Iritani Hiroshi
KYOTO JOURNAL OF MATHEMATICS, Dec. 2018, Peer-reviewed

The Crepant Transformation Conjecture for toric complete intersections
Tom Coates; Hiroshi Iritani; Yunfeng Jiang
Advances in Mathematics, 30 Apr. 2018, Peer-reviewed
Access this paper :

A mirror construction for the big equivariant quantum cohomology of toric manifolds
Hiroshi Iritani
MATHEMATISCHE ANNALEN, Jun. 2017, Peer-reviewed

Shift operators and toric mirror theorem
Hiroshi Iritani
GEOMETRY & TOPOLOGY, 2017, Peer-reviewed

Extremal transition and quantum cohomology: Examples of toric degeneration
Hiroshi Iritani; Jifu Xiao
KYOTO JOURNAL OF MATHEMATICS, Dec. 2016, Peer-reviewed

ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD
Tom Coates; Hiroshi Iritani
GLASGOW MATHEMATICAL JOURNAL, Sep. 2016, Peer-reviewed

GAMMA CLASSES AND QUANTUM COHOMOLOGY OF FANO MANIFOLDS: GAMMA CONJECTURES
Sergey Galkin; Vasily Golyshev; Hiroshi Iritani
DUKE MATHEMATICAL JOURNAL, Aug. 2016, Peer-reviewed

On the Gamma structure of quantum cohomology
Iritani Hiroshi
SUGAKU, 2016, Peer-reviewed, Invited

Quantum Serre Theorem as a Duality Between Quantum D-Modules
Hiroshi Iritani; Etienne Mann; Thierry Mignon
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, Peer-reviewed

A mirror theorem for toric stacks
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
COMPOSITIO MATHEMATICA, Oct. 2015, Peer-reviewed

K-Theoretic and Categorical Properties of Toric Deligne-Mumford Stacks
Tom Coates; Hiroshi Iritani; Yunfeng Jiang; Ed Segal
PURE AND APPLIED MATHEMATICS QUARTERLY, Apr. 2015, Peer-reviewed

Reconstruction and Convergence in Quantum K-Theory via Difference Equations
Hiroshi Iritani; Todor Milanov; Valentin Tonita
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, Peer-reviewed

On the Convergence of Gromov-Witten Potentials and Givental's Formula
Tom Coates; Hiroshi Iritani
MICHIGAN MATHEMATICAL JOURNAL, 2015, Peer-reviewed

Gamma conjecture for Fano manifolds (Aspects of Mirror Symmetry)
Iritani Hiroshi
RIMS Kokyuroku, Sep. 2014
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LANDAU-GINZBURG/CALABI-YAU CORRESPONDENCE, GLOBAL MIRROR SYMMETRY AND ORLOV EQUIVALENCE
Alessandro Chiodo; Hiroshi Iritani; Yongbin Ruan
PUBLICATIONS MATHEMATIQUES DE L IHES, Jun. 2014, Peer-reviewed

Seidel elements and potential functions of holomorphic disc counting
Eduardo Gonzalez; Hiroshi Iritani
Tohoku Math. J. (2), Volume 69, Number 3 (2017), 327-368, 23 Jan. 2013, Peer-reviewed

Seidel elements and mirror transformations
Eduardo Gonzalez; Hiroshi Iritani
SELECTA MATHEMATICA-NEW SERIES, Sep. 2012, Peer-reviewed

THE QUANTUM LEFSCHETZ HYPERPLANE PRINCIPLE CAN FAIL FOR POSITIVE ORBIFOLD HYPERSURFACES
Tom Coates; Amin Gholampour; Hiroshi Iritani; Yunfeng Jiang; Paul Johnson; Cristina Manolache
MATHEMATICAL RESEARCH LETTERS, 2012, Peer-reviewed

QUANTUM COHOMOLOGY AND PERIODS
Hiroshi Iritani
ANNALES DE L INSTITUT FOURIER, 2011, Peer-reviewed, Invited

Ruan's conjecture and integral structures in quantum cohomology
Hiroshi Iritani
NEW DEVELOPMENTS IN ALGEBRAIC GEOMETRY, INTEGRABLE SYSTEMS AND MIRROR SYMMETRY (RIMS, KYOTO, 2008), 2010, Peer-reviewed, Invited

An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
Hiroshi Iritani
ADVANCES IN MATHEMATICS, Oct. 2009, Peer-reviewed

COMPUTING GENUS-ZERO TWISTED GROMOV-WITTEN INVARIANTS
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
DUKE MATHEMATICAL JOURNAL, Apr. 2009, Peer-reviewed

Wall-crossings in toric Gromov-Witten theory I: Crepant examples
Tom Coates; Hiroshi Iritani; Hsian-Hua Tseng
Geometry and Topology, 2009, Peer-reviewed

Quantum D-modules and generalized mirror transformations
Hiroshi Iritani
TOPOLOGY, Sep. 2008, Peer-reviewed

INTEGRAL STRUCTURES IN QUANTUM COHOMOLOGY (Geometry related to the theory of integrable systems)
IRITANI HIROSHI
RIMS Kokyuroku, Jun. 2008
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Convergence of quantum cohomology by quantum Lefschetz
Hiroshi Iritani
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Sep. 2007, Peer-reviewed

Quantum D-modules and equivariant Floer theory for free loop spaces
H Iritani
MATHEMATISCHE ZEITSCHRIFT, Mar. 2006, Peer-reviewed

The Combinatorial Enumeration of Structural Isomers of Alkanes
IRITANI Hiroshi
Journal of Computer Chemistry, Japan, Jun. 1999, Peer-reviewed

Gromov-Witten invariants of local P^2 and modular forms
Tom Coates; Hiroshi Iritani
KYOTO JOURNAL OF MATHEMATICS, Sep. 2021, Peer-reviewed, Corresponding author

Misc.

Fourier analysis of equivariant quantum cohomology
Hiroshi Iritani
31 Jan. 2025

Revisiting Gamma conjecture I: counterexamples and modifications
Sergey Galkin; Jianxun Hu; Hiroshi Iritani; Huazhong Ke; Changzheng Li; Zhitong Su
27 May 2024

Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds
Hiroshi Iritani
29 Jul. 2023

Quantum D-modules of toric varieties and oscillatory integrals
Hiroshi Iritani
29 Jul. 2023

Quantum cohomology of blowups
Hiroshi Iritani
25 Jul. 2023

Quantum cohomology of projective bundles
Hiroshi Iritani; Yuki Koto
07 Jul. 2023

京都大学ガロア祭--問題と解説
太田慎一; 吉永正彦; 入谷寛
数学セミナー, Oct. 2011

問題6の解説 (京都大学ガロア祭--問題と解説)
入谷寛
数学セミナー, Oct. 2011

量子コホモロジーと方程式 (特集現代幾何と方程式--幾何学の多様な理解を目指して)
入谷寛
数理科学, Jun. 2010

問題1 (京都大学ガロア祭 : 問題と解説)
入谷寛
数学セミナー, Dec. 2016

Asymptotics of the banana Feynman amplitudes at the large complex structure limit
Hiroshi Iritani
11 Nov. 2020

tt*-geometry in quantum cohomology
Hiroshi Iritani
07 Jun. 2009

Real and integral structures in quantum cohomology I: toric orbifolds
Hiroshi Iritani
14 Dec. 2007

The Crepant Resolution Conjecture for Type A Surface Singularities
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
17 Apr. 2007

Presentations

Decomposition of quantum cohomology under blowups
Hiroshi Iritani
Higher Dimensional Geometry, 07 May 2024, Invited

Revisiting Gamma Conjecture I
Hiroshi Iritani
Enumerative Geometry in East Asia 2024, 20 Dec. 2024, Invited

Revisiting Gamma Conjecture I
Hiroshi Iritani
Geometry and Mathematical Physics ― On Hot Topics Around Quantization ―, 20 Nov. 2024, Invited

Fourier transformation and equivariant quantum cohomology
Hiroshi Iritani
An ODE to Geometry, 17 Sep. 2024

Quantum Cohomology of Blowups
Hiroshi Iritani
日本数学会秋季総合分科会幾何学分科会特別講演, 03 Sep. 2024, 日本数学会, Invited

Quantum Cohomology of Blowups
Hiroshi Iritani
2024 BICMR- IBSCGP Conference on Gromov-Witten Theory and Related Topics, 28 Aug. 2024, Invited

Fourier analysis of equivariant quantum cohomology and its applications
Hiroshi Iritani
Recent Developments in Mirror Symmetry and Calabi-Yau Varieties, 06 Aug. 2024, Invited

Fourier analysis of equivariant quantum cohomology and its applications
Hiroshi Iritani
Recent Developments in Mirror Symmetry and Calabi-Yau Varieties, 05 Aug. 2024, Invited

Quantum cohomology of GIT quotients and blowups
Hiroshi Iritani
9th Pacific Rim Conference in Mathematics, 20 Jun. 2024, Invited

Decomposition of quantum cohomology under blowups
Hiroshi Iritani
Kansas State University, M-seminar (online), 18 Apr. 2024, Invited

Decomposition of quantum cohomology under blowups
Hiroshi Iritani
Caltech/USC Algebra & Geometry Seminar, 21 Mar. 2024, Invited

Decomposition of quantum cohomology under blowups II
Hiroshi Iritani
Online Geometry and Physics Seminar, 05 Mar. 2024, Invited

Decomposition of quantum cohomology under blowups I
Hiroshi Iritani
Online Geometry and Physics Seminar, 20 Feb. 2024, Invited

Quantum Duistermaat-Heckmann measure
Hiroshi Iritani
Workshop on Nonarchimedean Geometry and Related Fields, 31 Jan. 2024, Invited

Fourier analysis of equivariant quantum cohomology
Hiroshi Iritani
Homological Mirror Symmetry, Invited

Geometry of quantum cohomology
Hiroshi Iritani
第62回玉城嘉十郎教授記念公開学術講演会，数理物理から導かれる新しい幾何学, 14 Dec. 2023, Invited

Fourier analysis of equivariant quantum cohomology
Hiroshi Iritani
Greater Bay Area Geometry and Mathematical Physics Conference - MIST 2023 Workshop, Invited

A formal decomposition of quantum cohomology D-modules of blowups
Hiroshi Iritani
Birational Geometry and Quantum Invariants, 01 Nov. 2023, Invited

Fourier Analysis of Equivariant Quantum Cohomology
Hiroshi Iritani
Complex Lagrangians, Mirror Symmetry and Quantization, 19 Oct. 2023, Invited

Equivariant quantum cohomology and Fourier transformation
Hiroshi Iritani
Online algebraic geometry seminar at Bogota, 27 Sep. 2023, Invited

Quantum Cohomology and Fourier Transformation
Hiroshi Iritani
函数方程式論サマースクール, Invited

Equivariant quantum cohomology and Fourier transformation
Hiroshi Iritani
Mirror Symmetry and Differential Equations, 10 Jul. 2023, Invited

Equivariant quantum cohomology and its applications
Hiroshi Iritani
Mirror Symmetry Seminar, 18 Oct. 2022, Invited

Approaches to the gamma conjecture
Hiroshi Iritani
Periods in mirror symmetry, 23 Sep. 2022, Invited

Equivariant quantum cohomology and Fourier transformation
Hiroshi Iritani
Geometry, Statistics & Dynamics. Celebrating 20 years of UK-Japan Winter Schools, 13 Sep. 2022, Invited

Equivariant quantum cohomology and its applications
Hiroshi Iritani
Calabi-Yau manifolds and mirror symmetry - Past, Present and Future -, 08 Aug. 2022, Invited

On decompositions of quantum cohomology D-modules
Hiroshi Iritani
Virtual ICM 2022, 09 Jul. 2022, Invited

Fourier transformation in GLSM
Hiroshi Iritani
Geometry of GLSMs, 24 Jun. 2022, Invited

On decompositions of quantum cohomology D-modules
Hiroshi Iritani
Japan forum associated with ICM, 14 Jun. 2022, Invited

Gamma conjecture and tropical geometry
Hiroshi Iritani
第66回代数学シンポジウム, 03 Sep. 2021, Invited

Gamma conjecture for Fano and Calabi-Yau manifolds
Hiroshi Iritani
Strings and QFTs for Eurasian time zone, 25 Nov. 2020, Invited

Quantum cohomology of blow-ups: a conjecture
Hiroshi Iritani
Online Nottingham algebraic geometry seminar, 07 Oct. 2020, Invited

Quantum cohomology and birational transformation
Hiroshi Iritani
Online Geometry and Physics seminar, 09 Jun. 2020, Invited

Equivariant quantum cohomology
Arithmetic algebraic geometry and mathematical physics, in honor of the 60th birthday of Professor Atsushi Moriwaki, 03 Dec. 2021, Invited

Equivariant quantum cohomology
Hiroshi Iritani
Special Geometry, Mirror Symmetry and Integrable Systems, 30 Nov. 2021, Invited

Books and Other Publications

数学セミナー2016年12月号
入谷寛, Contributor
Dec. 2016, Not refereed

数学科学2012年8月号
入谷寛, Contributor
Aug. 2012, Not refereed

数学セミナー2011年10月号
入谷寛, Contributor
Oct. 2011, Not refereed

数理科学2010年6月号
入谷寛, Contributor
Jun. 2010, Not refereed

トーリックミラー対称性
入谷寛
東北大学大学院理学研究科, 2010, Not refereed

External funds: Kakenhi

Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
Grant-in-Aid for Scientific Research (S)
Broad Section B
Osaka University
高橋篤史
From 05 Jul. 2021, To 31 Mar. 2026, Granted
幾何学;代数学;数理物理学;ミラー対称性;双有理幾何学
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04994/

Study of quantum cohomology and periods using tropical geometry
Grant-in-Aid for Scientific Research (C)
Basic Section 11020:Geometry-related
Kyoto University
Hiroshi Iritani
From 01 Apr. 2020, To 31 Mar. 2023, Project Closed
量子コホモロジー;ミラー対称性;周期;トロピカル幾何;グロモフ・ウィッテン不変量;同変コホモロジー;フーリエ変換;ガンマ類;トーリック軌道体;ファインマン積分;ガンマ整構造
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03582/

Study of the gamma structure in Gromov-Witten theory
Grant-in-Aid for Scientific Research (C)
Kyoto University
Hiroshi Iritani
From 01 Apr. 2016, To 31 Mar. 2019, Project Closed
グロモフ・ウィッテン理論;ガンマ整構造;ミラー対称性;量子コホモロジー;トロピカル幾何;保型性;軌道体;導来圏;トーリック多様体;保型形式;ランダウ・ギンズブルグ模型;クレパント解消予想;ガンマ構造;準保型形式;幾何学
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05127/

Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
Grant-in-Aid for Scientific Research (S)
Osaka University
ATSUSHI TAKAHASHI
From 31 May 2016, To 31 Mar. 2021, Project Closed
代数学;幾何学;数理物理学;ミラー対称性;双有理幾何学
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06337/

New development of algebraic geometry viewed from theoretical physics
Grant-in-Aid for Scientific Research (S)
Kyoto University
Atsushi Moriwaki
From 31 May 2016, To 31 Mar. 2021, Project Closed
代数幾何学;数理物理学;アラケロフ幾何学;シンプレクティック特異点;解析的捩率;カラビ・ヤウ多様体;超ケーラー多様体;量子コホモロジー;微分幾何学;複素幾何学;ゲージ理論;数論多様体;シンプレクティック多様体;代数多様体;シンプレティック多様体;数理物理;代数学;幾何学;モジュライ空間;数論幾何学;理論物理学;表現論
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06335/

ミラー対称性と周期の幾何学
Grant-in-Aid for Scientific Research (A)
Osaka University
高橋篤史
From 01 Apr. 2016, To 31 Mar. 2017, Discontinued
幾何学;代数学;数理物理学;ミラー対称性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H02146/

Study of noncommutative Hodge structures in mirror symmetry
Grant-in-Aid for Challenging Exploratory Research
Osaka University
Atsushi Takahashi
From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
代数学;幾何学;数理物理学;ミラー対称性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26610008/

Global structure of mirror symmetry
Grant-in-Aid for Scientific Research (C)
Kyoto University
Hiroshi Iritani
From 01 Apr. 2013, To 31 Mar. 2016, Project Closed
量子コホモロジー;グロモフ・ウィッテン理論;ミラー対称性;トーリック多様体;ランダウ・ギンズブルグ模型;軌道体;ファノ多様体;導来圏;ガンマ予想;コーニフォールド転移;グラスマン多様体;クレパント解消;ガンマ類;シンプレクティック幾何;フロベニウス多様体;可積分系;平坦接続
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400069/

Systematic development and application of methods in differential geometry and integrable systems motivated by quantum cohomology
Grant-in-Aid for Scientific Research (A)
Waseda University
Martin Guest
From 21 Oct. 2013, To 31 Mar. 2018, Project Closed
Integrable systems;Geometry;Quantum cohomology;可積分系;幾何学;量子コホモロジー
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25247005/

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/

Study on mirror symmetry and noncommutative Hodge structures
Grant-in-Aid for Challenging Exploratory Research
Osaka University
ATSUSHI TAKAHASHI
From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
代数学;幾何学;数理物理学;ミラー対称性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654009/

Development of Integrable Geometry
Grant-in-Aid for Scientific Research (B)
Tohoku University
Reiko Miyaoka
From 01 Apr. 2011, To 31 Mar. 2015, Project Closed
極小ラグランジュ部分多様体;L2調和形式;共形型;等径超曲面;ガウス写像;ハミルトン変形;交叉数;フレアホモロジー;ラグランジュ部分多様体;安定性;交叉理論;平均曲率流;トランスレイティングソリトン;リッチ流;L2調和1形式;トランスノーマル関数;等径関数;モーメント写像;スピン作用;可積分幾何;超曲面;エントロピー;tt*幾何;スペシャル幾何;離散化;可視化
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23340012/

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/

Gromov-Witten theory and mirror symmetry
Grant-in-Aid for Young Scientists (B)
Kyoto University
Hiroshi IRITANI
From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
ミラー対称性;グロモフ・ウィッテン理論;トーリック多様体;量子コホモロジー;ホッジ理論;軌道体;幾何学的量子化;Seidel表現;Gromov-Witten理論;Seidel 元;量子化;収束;Giventalの公式;Gromov-Witten不変量;Gromov-Wittenポテンシャル;量子コホモロモジー;カラビ・ヤウ多様体;FJRW理論;Seidel元;カラビ・ヤウ超曲面
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740042/

量子コホモロジーとミラー対称性の研究
Grant-in-Aid for Young Scientists (B)
Kyushu University
入谷寛
From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
量子コホモロジー;ミラー対称性;ミラー変換;tt*幾何学;クレパント解消予想;軌道体;Gromov-witten 理論;Landau-Ginzburg模型
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740039/

Orbifold cohomology and generalization of the McKay correspondence
Grant-in-Aid for Scientific Research (C)
Nagoya University
Yukari ITO
From 01 Apr. 2007, To 31 Mar. 2011, Project Closed
トポロジー;マッカイ対応;モジュライ空間;代数学;商特異点;幾何学;数理物理;特異点解消;特異点;有限群
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540022/

Fusion of geometry and the theory of integrable systems
Grant-in-Aid for Scientific Research (A)
Tohoku University
Reiko MIYAOKA
From 01 Apr. 2007, To 31 Mar. 2011, Project Closed
超曲面の幾何学;可積分系;特異点;離散幾何学;パンルヴェ方程式;カオス性;量子コホモロジー;軌道の幾何学;運動量写像;離散化;可積分な運動;離散変形KdV方程式;Ricci soliton;tt*戸田格子;ミラー対称性;双曲空間;クレパント解消予想;幾何学;等径超曲面;G_2軌道;特異点のモデュライ;調和写像論;Yang-Mills接続;アインシュタイン計量;量子コホモロジー論
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19204006/

New developments and interaction between Algebraic Geometry and Integrable Systems
Grant-in-Aid for Scientific Research (S)
Kobe University
Masa-hiko SAITO;Masahiko SAITO
From 01 Apr. 2007, To 31 Mar. 2012, Project Closed
可積分系;パンルヴェ方程式;相空間;モジュライ空間;量子コホモロジーとミラー対称性;極小モデル理論;高次元代数多様体;モノドロミー保存変形;複素力学系;ミラー対称性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19104002/

グロモフ・ウィッテン理論の大域的構造
Grant-in-Aid for Scientific Research (B)
Basic Section 11020:Geometry-related
Kyoto University
入谷寛
From 01 Apr. 2023, To 31 Mar. 2028, Granted
グロモフ・ウィッテン不変量;量子コホモロジー;双有理変換;導来圏;ガンマ整構造
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H01073/

Classical and Quantum integrable hierarchies in Gromov-Witten type theories
Grant-in-Aid for JSPS Fellows
Basic Section 11020:Geometry-related
Kyoto University
入谷寛
From 26 Jul. 2023, To 31 Mar. 2026, Granted
可積分系;グロモフ・ウィッテン不変量;可積分階層;双ハミルトン構造;量子化;Dubrovin-Zhang階層
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23KF0114/

グロモフ・ウィッテン理論の大域的構造
Grant-in-Aid for Scientific Research (B)
Basic Section 11020:Geometry-related
Kyoto University
入谷寛
From 01 Apr. 2023, To 31 Mar. 2028, Granted
グロモフ・ウィッテン不変量;量子コホモロジー;双有理変換;導来圏;ガンマ整構造
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K25770/

Last Updated :2025/05/30

Education

Teaching subject(s)

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Differential Geometry A
0532, Spring, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Differential Geometry D
0535, Fall, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Differential Geometry C
0534, Spring, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Differential Geometry B
0533, 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. 2024, To 31 Mar. 2025
Graduate Lecture in Differential Geometry
0404, Fall, Graduate School of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Forefront of Mathematics and Mathematical Science II
4139, Fall, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Differental Geometry
4132, Fall, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Exercises in Geometry II
3162, Fall, Faculty of Science, 4

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry C
0534, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry B
0533, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry A
0532, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry D
0535, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry a
0434, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry d
0437, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry c
0436, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Geometry b
0435, Fall, 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
Exercises in Basic Geometry
2105, Fall, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Introduction to Geometry
2104, Fall, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry d
0437, Fall, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry c
0436, Spring, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry b
0435, Fall, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry C
0534, Spring, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry B
0533, Fall, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry A
0532, Spring, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry a
0434, Spring, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Differential Geometry D
0535, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Exercises in Basic Geometry
2105, Fall, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry A
0532, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry c
0436, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Introduction to Geometry
2104, Fall, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry B
0533, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Forefront of Mathematics and Mathematical Science II
4139, Fall, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry d
0437, 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 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry b
0435, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Differential Geometry a
0434, Spring, Graduate School of Science, 3

From Apr. 2011, To Mar. 2012
Calculus B
Fall, 全学共通科目

From Apr. 2012, To Mar. 2013
Algebraic Geometry
Spring, 理学部

From Apr. 2012, To Mar. 2013
Mathematical Theory of Symmetries A
Spring, 全学共通科目

From Apr. 2012, To Mar. 2013
Exercises in Geometry I
Spring, 理学部

From Apr. 2012, To Mar. 2013
Linear Algebra B
Fall, 全学共通科目

From Apr. 2013, To Mar. 2014
Geometry I
Spring, 理学部

From Apr. 2013, To Mar. 2014
Algebraic Geometry
Spring, 理学部

From Apr. 2013, To Mar. 2014
Advanced Calculus II - Differential Equations
Fall, 全学共通科目

From Apr. 2014, To Mar. 2015
Exercises in Geometry I
Spring, 理学部

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

From Apr. 2014, To Mar. 2015
Seminar on Differential Geometry A
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Differential Geometry B
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Differential Geometry C
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Differential Geometry D
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Mathematical Theory of Symmetries I
Fall, 全学共通科目

From Apr. 2015, To Mar. 2016
Exercises in Geometry I
Spring, 理学部

From Apr. 2015, To Mar. 2016
Advanced Geometry II
Spring, 理学部

From Apr. 2015, To Mar. 2016
Topics in Geometry C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Differential Geometry A
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Differential Geometry B
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Differential Geometry C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Differential Geometry D
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Linear Algebra A
Spring, 全学共通科目

From Apr. 2015, To Mar. 2016
Linear Algebra B
Fall, 全学共通科目

From Apr. 2016, To Mar. 2017
Mathematical Theory of Symmetries I
Fall, 全学共通科目

From Apr. 2016, To Mar. 2017
Geometry I
Spring, 理学部

From Apr. 2016, To Mar. 2017
Seminar on Differential Geometry A
Spring, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Differential Geometry B
Fall, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Differential Geometry C
Spring, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Differential Geometry D
Fall, 理学研究科

From Apr. 2016, To Mar. 2017
Calculus with Exercises A
Spring, 全学共通科目

From Apr. 2016, To Mar. 2017
Calculus with Exercises B
Fall, 全学共通科目

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

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

From Apr. 2017, To Mar. 2018
Exercises in Geometry I
Spring, 理学部

From Apr. 2017, To Mar. 2018
Seminar on Differential Geometry A
Spring, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Differential Geometry B
Fall, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Differential Geometry C
Spring, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Differential Geometry D
Fall, 理学研究科

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

From Apr. 2018, To Mar. 2019
Geometry II
Fall, 理学部

From Apr. 2018, To Mar. 2019
Advanced Geometry I
Fall, 理学部

From Apr. 2018, To Mar. 2019
Topics in Geometry A
Fall, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Differential Geometry a
Spring, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Differential Geometry b
Fall, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Differential Geometry c
Spring, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Differential Geometry d
Fall, 理学研究科

From Apr. 2019, To Mar. 2020
Advanced Geometry I
Fall, 理学部

From Apr. 2019, To Mar. 2020
Topics in Geometry C
Fall, 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
Seminar on Differential Geometry a
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Differential Geometry b
Fall, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Differential Geometry c
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Differential Geometry 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. 2020, To Mar. 2021
Geometry I
Spring, 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 Differential Geometry a
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Differential Geometry b
Fall, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Differential Geometry c
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Differential 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
Topology
Spring, 理学部

From Apr. 2021, To Mar. 2022
Graduate Lecture in Topology
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Exercises in Geometry II
Fall, 理学部

From Apr. 2021, To Mar. 2022
Seminar on Differential Geometry a
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Differential Geometry b
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Differential Geometry c
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Differential Geometry d
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Forefront of Mathematics and Mathematical Science I
Spring, 理学部

From Apr. 2021, To Mar. 2022
Special Lecture on Mathematics 13
Year-long, 理学部

Participation in PhD Defense

QUANTUM COHOMOLOGY OF TORIC BUNDLES
KOTO YUKI, Graduate School of Science, Chief Examiner
25 Mar. 2024

Instanton knot invariants with rational holonomy parameters and an application for torus knot groups
IMORI HAYATO, Graduate School of Science, Sub-chief Examiner
25 Mar. 2024

On Affine Structures Which Come from Berkovich Geometry for K-trivial Finite Quotients of Abelian Varieties
GOTO KEITA, Graduate School of Science, Sub-chief Examiner
23 Mar. 2023

ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON SPACES OF JACOBI DIAGRAMS. II
KATADA MAI, Graduate School of Science, Sub-chief Examiner
23 Mar. 2023

Cohomology of the spaces of commuting elements in Lie groups of rank two
TAKEDA MASAHIRO, Graduate School of Science, Sub-chief Examiner
26 Sep. 2022

Last Updated :2025/05/30

Administration

School management (title, position)

From 01 Apr. 2019, To 31 Mar. 2020
国際高等教育院企画評価専門委員会数学部会委員

From 01 Apr. 2020, To 31 Mar. 2021
国際高等教育院企画評価専門委員会数学部会委員

Faculty management (title, position)

From 01 Apr. 2023, To 31 Mar. 2024
理学研究科研究科会議構成員

From 01 Apr. 2022, To 31 Mar. 2023
理学研究科将来計画委員会委員

From 01 Apr. 2022, To 31 Mar. 2023
理学研究科大学院教育常任委員会委員

From 01 Apr. 2022, To 31 Mar. 2023
理学研究科大学院教育教務委員会委員

From 01 Apr. 2022, To 31 Mar. 2023
理学研究科研究科会議構成員

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

From 24 May 2019, To 31 Mar. 2020
理学研究科将来計画委員会委員

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

From 01 Apr. 2019, To 31 Mar. 2020
理学部・教育委員会　全学共通教育委員会委員

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

From 01 Apr. 2018, To 31 Mar. 2020
理学研究科相談室運営委員会委員

From 01 Apr. 2020, To 31 Mar. 2021
理学研究科将来計画委員会委員

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

From 01 Apr. 2020, To 31 Mar. 2021
理学部・教育委員会　全学共通教育委員会委員

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

From 01 Apr. 2020, To 31 Mar. 2021
理学研究科研究科会議構成員

From 01 Apr. 2019, To 31 Mar. 2021
国際高等教育院企画評価専門委員会分野別部会委員

From 01 Apr. 2021, To 31 Mar. 2022
理学研究科将来計画委員会・プロジェクトスペース委員会委員

From 01 Apr. 2021, To 31 Mar. 2022
理学研究科大学院教育教務委員会委員

From 01 Apr. 2021, To 31 Mar. 2022
理学研究科研究科会議構成員

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