• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Cao Yalong  ツァオ ヤーロン

Researcher Number 80791459
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-5805-3242
Affiliation (based on the past Project Information) *help 2021 – 2022: 国立研究開発法人理化学研究所, 数理創造プログラム, 研究員
2019 – 2020: 東京大学, カブリ数物連携宇宙研究機構, 特任研究員
2017: 東京大学, カブリ数物連携宇宙研究機構, 特任研究員
Review Section/Research Field
Principal Investigator
0201:Algebra, geometry, analysis, applied mathematics,and related fields / Algebra
Keywords
Principal Investigator
Donaldson-Thomas theory / localization formulae / crepant resolution / Calabi-Yau 4-folds / Curve counting
  • Research Projects

    (2 results)
  • Research Products

    (37 results)
  •  Localization formulae in Donaldson-Thomas theory of Calabi-Yau 4-foldsPrincipal Investigator

    • Principal Investigator
      Cao Yalong
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Institute of Physical and Chemical Research
      The University of Tokyo
  •  Donaldson-Thomas type invariants for Calabi-Yau 4-foldsPrincipal Investigator

    • Principal Investigator
      Cao Yalong
    • Project Period (FY)
      2017 – 2018
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo

All 2023 2022 2021 2020 2019

All Journal Article Presentation Book

  • [Book] Tsinghua Lectures in Mathematics2019

    • Author(s)
      Yalong Cao, Naichung Conan Leung
    • Publisher
      International Press of Boston, Inc.
    • ISBN
      9781571463722
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Counting perverse coherent systems on Calabi-Yau 4-folds2023

    • Author(s)
      Yalong Cao, Yukinobu Toda
    • Journal Title

      Mathematische Annalen

      Volume: 385 Issue: 3-4 Pages: 1379-1429

    • DOI

      10.1007/s00208-022-02364-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397, KAKENHI-PROJECT-19H01779
  • [Journal Article] Tautological stable pair invariants of Calabi-Yau 4-folds2022

    • Author(s)
      Yalong Cao, Yukinobu Toda
    • Journal Title

      Advances in Mathematics

      Volume: 396 Pages: 108176-108176

    • DOI

      10.1016/j.aim.2021.108176

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397, KAKENHI-PROJECT-19H01779
  • [Journal Article] Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds2022

    • Author(s)
      Yalong Cao, Georg Oberdieck, Yukinobu Toda,
    • Journal Title

      Advances in Mathematics

      Volume: 408 Pages: 108605-108605

    • DOI

      10.1016/j.aim.2022.108605

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K23397, KAKENHI-PROJECT-19H01779
  • [Journal Article] Yang-Mills theories on geometric spaces2022

    • Author(s)
      Yalong Cao
    • Journal Title

      Reviews in Mathematical Physics

      Volume: 34 Issue: 01

    • DOI

      10.1142/s0129055x22300011

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2022

    • Author(s)
      Yalong Cao, Davesh Maulik, Yukinobu Toda
    • Journal Title

      Journal of the European Mathematical Society

      Volume: 24 Issue: 2 Pages: 527-581

    • DOI

      10.4171/jems/1110

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397, KAKENHI-PROJECT-19H01779
  • [Journal Article] Stable pair invariants of local Calabi-Yau 4-folds2022

    • Author(s)
      Yalong Cao, Martijn Kool, Sergej Monavari
    • Journal Title

      Int. Math. Res. Not. IMRN

      Volume: 6 Issue: 6 Pages: 4753-4798

    • DOI

      10.1093/imrn/rnab061

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Stable pair invariants of local Calabi-Yau 4-folds2021

    • Author(s)
      Cao Yalong, Kool Martijn, Monavari Sergej
    • Journal Title

      International Mathematics Research Notices

      Volume: in print

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao, Jacob Gross and Dominic Joyce
    • Journal Title

      Advances in Mathematics

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Gopakumar-Vafa type Invariants on Calabi-Yau 4-folds via descendent insertionsInsertions2020

    • Author(s)
      Cao Yalong、Toda Yukinobu
    • Journal Title

      Communications in Mathematical Physics

      Volume: 383 Issue: 1 Pages: 281-310

    • DOI

      10.1007/s00220-020-03897-9

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397, KAKENHI-PROJECT-19H01779
  • [Journal Article] Remarks on Kawamata’s effective non-vanishing conjecture for manifolds with trivial first Chern classes2020

    • Author(s)
      Yalong Cao, Chen Jiang
    • Journal Title

      Mathematische Zeitschrift

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao, Davesh Maulik and Yukinobu Toda
    • Journal Title

      Journal of the European Mathematical Society

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Curve counting and DT/PT correspondence for Calabi-Yau 4-folds2020

    • Author(s)
      Cao Yalong、Kool Martijn
    • Journal Title

      Advances in Mathematics

      Volume: 375 Pages: 107371-107371

    • DOI

      10.1016/j.aim.2020.107371

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds II: Fano 3-folds2019

    • Author(s)
      Cao Yalong
    • Journal Title

      Communications in Contemporary Mathematics

      Volume: - Issue: 07 Pages: 1950060-1950060

    • DOI

      10.1142/s0219199719500603

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Journal Article] Counting conics on sextic 4-folds2019

    • Author(s)
      Cao Yalong
    • Journal Title

      Mathematical Research Letters

      Volume: 26 Issue: 5 Pages: 1343-1357

    • DOI

      10.4310/mrl.2019.v26.n5.a5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials2023

    • Author(s)
      Yalong Cao
    • Organizer
      IASM Zhejiang University, Online Geometry and Physics seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials2023

    • Author(s)
      Yalong Cao
    • Organizer
      Fudan-SCMS AG Seminars, Shanghai Math Center
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials2023

    • Author(s)
      Yalong Cao
    • Organizer
      Conference "Gauge Theory, Moduli Spaces and Representation Theory, Kashiwa 2023, In honor of the 60th birthday of Hiraku Nakajima"
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2022

    • Author(s)
      Yalong Cao
    • Organizer
      Special seminar, Department of mathematics, Kyoto University
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds2022

    • Author(s)
      Yalong Cao
    • Organizer
      Special seminar, Department of mathematics, Kyoto University
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds2022

    • Author(s)
      Yalong Cao
    • Organizer
      Fudan-SCMS AG Seminars, Shanghai Math Center
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds2022

    • Author(s)
      Yalong Cao
    • Organizer
      Geometry seminar, Sun Yat-sen University, Guangzhou
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds2022

    • Author(s)
      Yalong Cao
    • Organizer
      Joint Harvard-CUHK-YMSC Differential Geometry Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2021

    • Author(s)
      Yalong Cao
    • Organizer
      UCSD Algebraic Geometry Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2021

    • Author(s)
      Yalong Cao
    • Organizer
      RIMS-Waseda online conference "Special Geometry, Mirror Symmetry and Integrable Systems"
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2021

    • Author(s)
      Yalong Cao
    • Organizer
      SYSU-CUHK Joint Online Workshop on Geometry and Physics (III)
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2021

    • Author(s)
      Yalong Cao
    • Organizer
      Edinburgh Hodge Seminar, University of Edinburgh
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      Algebraic Geometry Zoominar, Shanghai-Tech. University
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      GTM seminar, Kavli IPMU, Japan
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      Online seminar, KIAS, South Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Introduction to Donaldson-Thomas invariants on Calabi-Yau 4 folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      Online lecture series for Northeast Normal University of China
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      ETH Algebraic Geometry and Moduli Zoominar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Gopakumar-Vafa type invariants for Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      International Consortium of Chinese Mathematicians annual meeting
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2020

    • Author(s)
      Yalong Cao
    • Organizer
      Algebraic Geometric Seminar, Mathematical Institute, University of Oxford
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Curve counting via stable objects in derived categories of Calabi-Yau 4-folds2019

    • Author(s)
      Yalong Cao
    • Organizer
      UTokyo-NTU Joint Symposium in Mathematics
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Introduction to Donaldson-Thomas theory on Calabi-Yau 4-folds I, II, III2019

    • Author(s)
      Yalong Cao
    • Organizer
      Hua Luo-Keng Youth Forum for Algebraic Geometry, The Chinese Academy of Sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23397
  • [Presentation] Introduction to Donaldson-Thomas theory on Calabi-Yau 4-folds2019

    • Author(s)
      Yalong Cao
    • Organizer
      Department's Geometry seminar, Boston University
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K23397

URL: 

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi