Mochizuki Takuro

Affiliation and department：
Job title： professor

Research field (1)： Geometry

Research theme for competitive and other funds (22)：

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 -
2016 - 2021 New development of algebraic geometry viewed from theoretical physics

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Papers (29)：

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
Takuro Mochizuki. Curve test for enhanced ind-sheaves and holonomic D-modules, II. Annales scientifiques de l'ENS. 2022. 55. 3. 681-738
Takuro Mochizuki. Curve test for enhanced ind-sheaves and holonomic D-modules, I. Annales scientifiques de l'ENS. 2022. 55. 3. 575-679
Takuro Mochizuki. Good Wild Harmonic Bundles and Good Filtered Higgs Bundles. Symmetry, Integrability and Geometry: Methods and Applications. 2021. 17. 68. 1-66
Takuro Mochizuki. Triply Periodic Monopoles and Difference Modules on Elliptic Curves. Symmetry, Integrability and Geometry: Methods and Applications. 2020. 16. 48. 1-23

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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 (81)：

ゲージ理論と非可換ホッジ理論
(玉城嘉十郎教授記念学術講演会 2023)
Harmonic bundles, Twistor D-modules and Monopoles
(NCTS-Kyoto Mathematics Symposium 2023)
Asymptotic behaviour of the Hitchin metric of the moduli space of Higgs bundles
(Higgs bundles, non-Abelian Hodge correspondence and related topics 2023)
Asymptotics of the Hitchin Metric on the Moduli of Higgs Bundles
(Complex Lagrangians, Mirror Symmetry, and Quantization 2023)
Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles
(2023)

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Awards (8)：

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