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J-GLOBAL ID：201801020348957421   Update date: Mar. 14, 2025

Toda Yukinobu

トダ ユキノブ | Toda Yukinobu
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Affiliation and department：
The University of Tokyo

About The University of Tokyo


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
Show all
Papers (60)：
  • Tudor Pădurariu, Yukinobu Toda. Categorical and K-theoretic Donaldson-Thomas theory of C3 (part I). Duke Mathematical Journal. 2024. 173. 10. 1973-2038
  • Yukinobu Toda. Categorical wall-crossing formula for Donaldson-Thomas theory on the resolved conifold. Geometry and Topology. 2024. 28. 3. 1341-1407
  • 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
ｍore...
MISC (14)：
  • Yalong Cao, Yukinobu Toda, Gufang Zhao. K-theoretic pullbacks for Lagrangians on derived critical loci. arXiv:2503.06025. 2025
  • Tudor Pădurariu, Yukinobu Toda. Topological K-theory of quasi-BPS categories for Higgs bundles. arXiv:2409.10800. 2024
  • Tudor Pădurariu, Yukinobu Toda. Quasi-BPS categories for Higgs bundles. arXiv:2408.02168. 2024
  • 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
ｍore...
Books (5)：
  • Categorical Donaldson-Thomas theory for local surfaces
    Springer Lecture Notes in Mathematics (2350) 2024
  • 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  (66)：
  • Dolbeault Geometric Langlands conjecture via quasi-BPS categories
    (Categorical and analytic invariants in algebraic, symplectic and complex geometry (Kavli IPMU) 2025)
  • Dolbeault Geometric Langlands conjecture via quasi-BPS categories
    (Geometry meets Physics Calabi-Yau fourfolds and beyond (Woudschoten Conference Center, Zeist, Netherlands) 2025)
  • Gopakumar-Vafa invariants 5 (Gopakumar-Vafa invariants via perverse sheaves)
    (Phyiscs-Latam (online) 2024)
  • Gopakumar-Vafa invariants 4 (Donaldson-Thomas theory)
    (Phyiscs-Latam (online) 2024)
  • Gopakumar-Vafa invariants 3 (Moduli spaces of semistable sheaves)
    (Phyiscs-Latam (online) 2024)
ｍore...
Education (4)：
  • 2004 - 2006 東京大学大学院数理科学研究科博士課程
  • 2002 - 2004 東京大学大学院数理科学研究科修士課程
  • 2000 - 2002 東京大学理学部数学科
  • 1998 - 2000 The University of Tokyo
Professional career (1)：
  • 博士(数理科学) (東京大学大学院数理科学研究科)
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
Show all
Committee career (3)：
  • 2023 - 現在 数学専門誌`Moduli' 編集委員
  • 2021 - 現在 数学専門誌`Nagoya Mathematical Journal' 副編集委員
  • 2017/04 - 2021/03 日本数学会 代数学賞委員
Awards (5)：
  • 2015/02 - 日本学術振興会 日本学術振興会賞
  • 2014/08 - 国際数学者会議(2014ソウル)招待講演
  • 2014/03 - 日本数学会 春季賞
  • 2012/09 - 日本数学会 幾何学賞
  • 2004/03 - 東京大学 東京大学総長賞
Association Membership(s) (1)：
日本数学会
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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