Toda Yukinobu

トダユキノブ | Toda Yukinobu

Affiliation and department：
Job title： Professor

Research field (2)： Geometry , Algebra

Research keywords (3)： Donaldson-Thomas不変量 , 連接層の導来圏 , 代数幾何学

Research theme for competitive and other funds (11)：

2024 - 2029 圏論的Donaldson-Thomas理論の開拓と周辺領域の相互発展
2021 - 2026 Birational geometry and derived categories toward non-commutative birational geometry
2019 - 2024 D-臨界的双有理幾何学の確立とDonaldson-Thomas不変量の圏論化
2016 - 2021 Birational geometry of higher dimensional algebraic varieties
2014 - 2019 Stability conditions on derived categories and Donaldson-Thomas invariants

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Papers (58)：

Tudor Pădurariu, Yukinobu Toda. The local categorical DT/PT correspondence. Advances in Mathematics. 2024. 442. 109590-109590
Yalong Cao, Georg Oberdieck, Yukinobu Toda. Gopakumar-Vafa Type Invariants of Holomorphic Symplectic 4-Folds. Communications in Mathematical Physics. 2024. 405. 2
Tudor Pădurariu, Yukinobu Toda. Categorical and K-theoretic Donaldson-Thomas theory of $\mathbb{C}^3$ (part II). Forum of Mathematics, Sigma. 2023. 11
Yukinobu Toda. Derived categories of Quot schemes of locally free quotients via categorified Hall products. Math. Res. Lett. 2023. 30. 1. 239-265
Yukinobu Toda. Gopakumar-Vafa invariants and wall-crossing. Journal of Differential Geometry. 2023. 123. 1

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MISC (13)：

Tudor Padurariu, Yukinobu Toda. Quasi-BPS categories for K3 surfaces. arXiv:2309.08437. 2023
Tudor Padurariu, Yukinobu Toda. Topological K-theory of quasi-BPS categories of symmetric quivers with potential. arXiv:2309.08432. 2023
Tudor Padurariu, Yukinobu Toda. Quasi-BPS categories for symmetric quivers with potential. arXiv:2309.08425. 2023
Tudor Pădurariu, Yukinobu Toda. The categorical DT/PT correspondence and quasi-BPS categories for local surfaces. 2022
Yukinobu Toda. Derived categories of Quot schemes of zero-dimensional quotients on curves. 2022

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Books (4)：

Recent progress on the Donaldson-Thomas theory : wall-crossing and refined invariants
Springer 2021 ISBN:9789811678370
連接層の導来圏と代数幾何学
丸善出版 2020 ISBN:9784621305911
数学の現在i
東京大学出版会 2016
連接層の導来圏に関わる諸問題
数学書房 2016 ISBN:9784903342412

Lectures and oral presentations (51)：

Quasi-BPS categories for K3 surfaces
(Tsinghua-Tokyo Workshop on Calabi-Yau 2024)
Quasi-BPS categories for K3 surfaces
(Enumerative Geometry in East Asia (Academia Sinica, Taipei) 2023)
McKay correspondence for Hilb^n(C^3), categorical DT theory and geometric Langlands
(McKay correspondence, Tilting theory and related topics (Kavli IPMU) 2023)
Donaldson-Thomas不変量の圏論化
(名古屋大学多元数理科学研究科集中講義 2023)
Quasi-BPS categories (two talks)
(Joint mini-course with Tudor Padurariu at Hausdorff research institute for mathematics 2023)

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Education (4)：

Work history (6)：

2017/07 - 現在 The University of Tokyo
2015/06 - 2017/06 The University of Tokyo
2008/11 - 2015/05 The University of Tokyo Institute for the Physics and Mathematics of the Universe
2008/01 - 2008/10 The University of Tokyo Institute for the Physics and Mathematics of the Universe
2006/04 - 2007/12 The University of Tokyo Graduate School of Mathematical Sciences

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Committee career (3)：

Awards (5)：

Association Membership(s) (1)：

日本数学会

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