Iritani Hiroshi

Affiliation and department：
Homepage URL (1)： https://www.math.kyoto-u.ac.jp/~iritani/index_ja.html

Research field (1)： Geometry

Research keywords (15)： mirror symmetry , グロモフ・ウィッテン不変量 , quantum cohomology , 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 theme for competitive and other funds (20)：

2021 - 2026 Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
2020 - 2023 Study of quantum cohomology and periods using tropical geometry
2016 - 2021 New development of algebraic geometry viewed from theoretical physics
2016 - 2021 Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
2016 - 2019 Study of the Gamma structure in Gromov-Witten theory

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Papers (39)：

Hiroshi Iritani. Gamma classes and quantum cohomology. International Congress of Mathematicians. 2023. 4. 2552-2574
Hiroshi Iritani. Asymptotics of the banana Feynman amplitudes at the large complex structure limit. Advances in Theoretical and Mathematical Physics. 2022. 26. 5. 1239-1245
Tom Coates, Hiroshi Iritani. Gromov-Witten invariants of local P^2 and modular forms. KYOTO JOURNAL OF MATHEMATICS. 2021. 61. 3. 543-706
Hiroshi Iritani. Gamma conjecture and tropical geometry. 2021. 99-113
Hiroshi Iritani, Todor Milanov, Yongbin Ruan, Yefeng Shen. Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties. Mem. Amer. Math. Soc. 2021. 269. 1310. 1-92

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MISC (12)：

Hiroshi Iritani. Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds. 2023
Hiroshi Iritani. Quantum D-modules of toric varieties and oscillatory integrals. 2023
Hiroshi Iritani. Quantum cohomology of blowups. 2023
Hiroshi Iritani, Yuki Koto. Quantum cohomology of projective bundles. 2023
Hiroshi Iritani. Asymptotics of the banana Feynman amplitudes at the large complex structure limit. 2020

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Books (5)：

数学セミナー2016年12月号
2016
数学科学2012年8月号
2012
数学セミナー2011年10月号
2011
数理科学2010年6月号
2010
トーリックミラー対称性
東北大学大学院理学研究科 2010

Lectures and oral presentations (25)：

Decomposition of quantum cohomology under blowups
(Caltech/USC Algebra & Geometry Seminar 2024)
Decomposition of quantum cohomology under blowups II
(Online Geometry and Physics Seminar 2024)
Decomposition of quantum cohomology under blowups I
(Online Geometry and Physics Seminar 2024)
Quantum Duistermaat-Heckmann measure
(Workshop on Nonarchimedean Geometry and Related Fields 2024)
Fourier analysis of equivariant quantum cohomology
(Homological Mirror Symmetry)

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Education (2)：

2001 - 2005 Kyoto University Graduate School of Science
1998 - 2001 Kyoto University Faculty of Science

Professional career (1)：

博士(理学) (京都大学)

Work history (4)：

2018/04 - 現在 Kyoto University Professor
2010/04 - 2018/03 Kyoto University Assoicate Professor
2007/04 - 2010/03 Kyushu University Assistant Professor
2006/10 - 2007/03 Kyushu University Assistant Professor

Awards (6)：

2018/02 - 日本学術振興会日本学術振興会賞
2016 - Spring Prize
2015 - Geometry Prize
2011 - 科学技術分野の文部科学大臣表彰若手科学者賞
2009 - 日本数学会建部賢弘賞(特別賞)

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Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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