Mochizuki Takuro

Affiliation and department：
Job title： professor

Research field (1)： Geometry

Research theme for competitive and other funds (23)：

2023 - 2028 Differential geometry and integrable systems: exploiting new links
2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
2021 - 2026 Symplectic algebraic geometry and moduli spaces
2020 - 2025 Generalized Hodge theory from the twistor perspective
2017 - 2022 Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -

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Papers (33)：

Takuro Mochizuki, Szilárd Szabó. Asymptotic behaviour of large-scale solutions of Hitchin’s equations in higher rank. Moduli. 2025. 2
Qiongling Li, Takuro Mochizuki. Complete Solutions of Toda Equations and Cyclic Higgs Bundles Over Non-compact Surfaces. International Mathematics Research Notices. 2025. 2025. 7
Takuro Mochizuki. Rescalability of Integrable Mixed Twistor D-Modules. Perspectives on Four Decades of Algebraic Geometry, Volume 2. 2025. 13-207
Qiongling Li, Takuro Mochizuki. Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces. Proceedings of the London Mathematical Society. 2024. 129. 6
Qiongling Li, Takuro Mochizuki. Harmonic metrics of generically regular semisimple Higgs bundles on noncompact Riemann surfaces. Tunisian Journal of Mathematics. 2023. 5. 4. 663-711

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Books (7)：

Periodic monopoles and difference modules
Springer 2022 ISBN:3030944999
Mixed Twistor D-modules
Lecture Notes in Mathematics 2125, Springer Verlag 2015
Holonomic D-modules with Betti structure
Memoires de la Societe Mathematique de France 138/139, Societe Mathematique de France 2014 ISBN:9782856297919
Wild harmonic bundles and wild pure twistor D-modules
Asterisque 340, Societe Mathematique de France 2011 ISBN:9782856293324
Donaldson type invariants for algebraic surfaces
Lecture Notes in Mathematics 1972号, Springer 2009 ISBN:9783540939122

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Lectures and oral presentations (91)：

Some applications of non-abelian Hodge theory
(International Congress of Basic Sciences 2025 2025)
Harmonic metrics of cyclic G-Higgs bundles on punctured Riemann surfaces
(Higgs bundles and harmonic maps 2025)
Some estimates for harmonic metrics of G-Higgs bundles
(Higher rank geometric structures, Higgs bundles and physics 2025)
フーリエ変換とストークス構造
(パンルヴェ方程式の幾何学とその周辺 2025)
Irregular Hodge theory and rigidity
(Workshop on Mirror Symmetry and Related Topics, Kyoto 2024 2024)

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Awards (9)：

2024/07 - ICBS 2024 ICBS Frontiers of Science Award in Mathematics Mixed Twistor D-modules
2021/09 - Breakthrough Prize Foundation Breakthrough Prize
2021/01 - The Asahi Shimbun Foundation the Asahi Prize
2012/11 - Osaka Science and Technology Center Osaka Science Prize
2011/06 - The Japan Academy Japan Academy Prize

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