I am currently an associate professor at the Morningside Center of Mathematics, Chinese Academy of Sciences. I am doing research on algebraic geometry, geometric representation theory, and mathematical physics.

Papers and preprints

1. Symmetric quiver varieties and critical stable envelopes, (with A. Okounkov, Y. Zhou and Z. Zhou), arXiv:2601.02719.

2. Shifted quantum groups via critical stable envelopes, (with A. Okounkov, Y. Zhou and Z. Zhou), arXiv:2601.01518.

3. Stable envelopes for critical loci, (with A. Okounkov, Y. Zhou and Z. Zhou), arXiv:2512.23929.

4. K-theoretic pullbacks for Lagrangians on derived critical loci, (with Y. Toda and G. Zhao), arXiv:2503.06025.

5. A degeneration formula of Donaldson-Thomas theory on Calabi-Yau 4-folds, (with G. Zhao and Z. Zhou), arXiv:2402.16103.

6. Quasimaps to quivers with potentials, (with G. Zhao), arXiv:2306.01302. To appear in Memoirs of the American Mathematical Society.

7. A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds, (with M. Kool and S. Monavari). Transactions of the American Mathematical Society, 376 (2023), no. 11, 8225-8268.

8. Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds, (with G. Oberdieck and Y. Toda). Advances in Mathematics, 408 (2022) 108605, 44 pages.

9. Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds, (with G. Oberdieck and Y. Toda). Communications in Mathematical Physics 405 (2024), no. 26.

10. Yang-Mills theories on geometric spaces. Reviews in Mathematical Physics, 34 (2022), no. 1, Paper No. 2230001, 18 pp.

11. Tautological Hilbert scheme invariants of Calabi-Yau 4-folds via virtual pullback, (with F. Qu). arXiv:2012.04415.

12. Counting perverse coherent systems on Calabi-Yau 4-folds, (with Y. Toda). Mathematische Annalen 385 (2023), no. 3-4, 1-51.

13. Tautological stable pair invariants of Calabi-Yau 4-folds, (with Y. Toda). Advances in Mathematics 396 (2022) 108176, 44 pages.

14. Stable pair invariants of local Calabi-Yau 4-folds, (with M. Kool and S. Monavari). International Mathematics Research Notices 2022, no. 6, 4753-4798.

15. Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions, (with Y. Toda). Communications in Mathematical Physics, 383 (2021), no. 1, 281-310.

16. Curve counting via stable objects in derived categories of Calabi-Yau 4-folds, (with Y. Toda). Advances in Mathematics, 406 (2022) 108531, 58 pages.

17. K-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds, (with M. Kool and S. Monavari). Communications in Mathematical Physics, 396 (2022), no. 1, 225–264.

18. Curve counting and DT/PT correspondence for Calabi-Yau 4-folds, (with M. Kool). Advances in Mathematics, 375 (2020) 107371, 49 pages.

19. Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds, (with D. Maulik and Y. Toda). Journal of the European Mathematical Society 24 (2022), no. 2, 527-581.

20. Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds, (with J. Gross, D. Joyce). Advances in Mathematics, 368 (2020) 107134, 60 pages.

21. Curve counting on An×C2. Pure and Applied Mathematics Quarterly (Special Issue in Honor of Prof. Kyoji Saito's 75th Birthday), vol. 16, No. 3 (2020), pp. 659-674.

22. Counting zero-dimensional subschemes in higher dimensions, (with M. Kool). Journal of Geometry and Physics, 136 (2019) 119-137.

23. Counting conics on sextic 4-folds. Mathematical Research Letters, 26 (2019), no. 5, 1343-1357.

24. Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds II: Fano 3-folds. Communications in Contemporary Mathematics, 22 (2020), no. 7, 1950060.

25. Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds, (with D. Maulik and Y. Toda). Advances in Mathematics, 338 (2018), 41-92.

26. Zero dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds, (with M. Kool). Advances in Mathematics, 338 (2018), 601-648.

27. Remarks on Kawamata's effective non-vanishing conjecture for manifolds with trivial first Chern classes, (with C. Jiang). Mathematische Zeitschrift, 296 (2020), 615-637.

28. Mukai flops and Plucker type formulas for hyper-Kahler manifolds, (with N. C. Leung). Proceedings of the American Mathematical Society, 148 (2020), no. 10, 4119-4135.

29. Remarks on mirror symmetry of Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung). "Tsinghua Lectures in Mathematics", Adv. Lect. Math. 45, (2018), Higher Education Press.

30. Relative Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung). Transactions of the American Mathematical Society, 369 (2017), 6631-6659.

31. Orientability for gauge theories on Calabi-Yau manifolds, (with N. C. Leung). Advances in Mathematics, 314 (2017), 48-70.

32. Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung). arXiv:1407.7659.

Education

1. B.Eng. Tsinghua University, 2007-2011.

2. M.S. The Chinese University of Hong Kong, 2011-2013. Thesis advisor: Naichung Conan Leung

3. Ph.D. The Chinese University of Hong Kong, 2013-2016. Thesis advisor: Naichung Conan Leung

Employment

1. August 2016-April 2017, Project Researcher, Kavli IPMU, The University of Tokyo, Japan

2. April 2017-March 2019, Royal Society Newton International Fellow, affiliated at University of Oxford

3. March 2019-July 2021, Project Researcher, Kavli IPMU, The University of Tokyo, Japan

4. July 2021- April 2023, Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program, Japan

5. April 2023-January 2024, Senior Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program, Japan

6. January 2024-now, Associate Professor, Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China