Iwaki Kohei

Affiliation and department：
Job title：准教授

Research field (1)： Basic analysis

Research theme for competitive and other funds (12)：

2024 - 2029 Topological recursion, quantum curve and resurgence theory
2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
2023 - 2026 パンルヴェ方程式の非線型ストークス現象とBPS構造
2021 - 2026 Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
2021 - 2024 Fukaya Category and Exact WKB Analysis

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Papers (23)：

Kohei Iwaki, Marcos Mariño. Resurgent Structure of the Topological String and the First Painlevé Equation. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2024. 20
Kohei Iwaki, Omar Kidwai. Topological Recursion and Uncoupled BPS Structures II: Voros Symbols and the τ-Function. Communications in Mathematical Physics. 2023. 399. 1. 519-572
Kohei Iwaki, Tatsuya Koike, Yumiko Takei. Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin’s Topological Recursion: Part I-For the Weber Equation. Annales Henri Poincaré. 2022. 24. 4. 1305-1353
Kohei Iwaki, Omar Kidwai. Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies. Advances in Mathematics. 2022. 398. 108191-108191
Hiroyuki Fuji, Kohei Iwaki, Hitoshi Murakami, Yuji Terashima. Witten-Reshetikhin-Turaev Function for a Knot in Seifert Manifolds. Communications in Mathematical Physics. 2021. 386. 1. 225-251

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Lectures and oral presentations (56)：

From Elliptic curve to Painlevé equations via WKB and topological recursion
(CNRS-Tokyo Mini-workshop on Geometric Aspects of Painlev ́e Equations and Related Topics (@ University of Tokyo) 2024)
Mini-course on Exact WKB method and Painlevé equation (4 lectures)
(Les Houches School on Quantum Geometry (@Les Houches, France) 2024)
Conifold gap property for the topological recursion free energy of elliptic spectral curves
(Recent Developments in Mirror Symmetry and Calabi-Yau Varieties (@RIMS, Kyoto University) 2024)
Conjectures on resurgent structure in topological recursion
(New Aspects in Topological Recursion, Resurgence and Related Topics (@RIMS, Kyoto University) 2024)
Conjectures on resurgent structure in topological recursion
(Moduli of Meromorphic Quadratic Differentials (@Simons Center for Geometry and Physics) 2024)

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Professional career (1)：

Work history (2)：

2020/04 - 現在 The University of Tokyo Graduate School of Mathematical Sciences Associate Professor
2015/03 - 2020/03 Nagoya University Graduate School of Mathematics Assistant Professor

Awards (2)：

2024/04 - MEXT (Ministry of Education, Culture, Sports, Science and Technology) 令和6年度科学技術分野の文部科学大臣表彰若手科学者賞
2022/09 - The 2022 MSJ Takebe Katahiro Prize Studies on exact WKB analysis, cluster algebras, Painlevé equations and topological recursion

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