Research Areas

My research interest lies in the intersection of enumerative geometry, mirror symmetry and modular forms. Some specific topics include Gromov-Witten theory, Calabi-Yau manifolds, modular forms, integrable systems, and their applications in geometry, number theory, and physics.


Education

2008.092014.05    Ph.D. Mathematics, Harvard University, Cambridge, USA

2004.082008.06    B.S. Mathematics, Tsinghua University


Research Experience

2024.06–Present    Associate Professor at Tsinghua University
2018.092024.06    Assistant Professor at Tsinghua University

2017.082018.08    Postdoctor at University of Cologne, Cologne, Germany
2014.082017.08    Post Doctoral Fellow of Perimeter Institute, Waterloo, Canada
2010.092014.05    TA/TF/RA, Department of Mathematics, Harvard University, Cambridge, USA


Awards

Fall 2022, Certificate of Distinction in Teaching, YMSC, Tsinghua University
2022, Ruolin Research Excellence Awards, YMSC, Tsinghua University
2014, Gold Medal of Doctor Thesis in New World Mathematics Award for Chinese Mathematicians Spring 2013, Certificate of Distinction in Teaching, Harvard University
2012-2013, William R. Hearst III Research Fellowship in Mathematics, Harvard University
Fall
2012, Certificate of Distinction in Teaching, Harvard University
Spring
2012, Certificate of Distinction in Teaching, Harvard University
2009-2010, Harvard-China Scholarship, Harvard University


Publications

1. Modularity of counting functions of convex planar polygons with rationality conditions, with Kathrin Bringmann, Jonas Kaszian, Mathematische Annalen, 392, pages 9651014, (2025)

2. Higher Genus FJRW Invariants of a Fermat Cubic, with Jun Li, Yefeng Shen, Geometry and Topology, 27:5 (2023) 18451890

3. Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations, with Si Li, Communications in Mathematical Physics, 401 (2023), 613645

4. Genus Two Siegel Quasi-Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds, with Yongbin Ruan, Yingchun Zhang, Communications in Mathematical Physics, 398, 757796 (2023)

5. A genus-one FJRW invariant via two methods, with Jun Li, Wei-Ping Li, Yefeng Shen, Mathematische Zeitschrift, volume 302, 19271955 (2022)

6. Regularized Integrals on Riemann Surfaces and Modular Forms, with Si Li, Communications in Mathematical Physics, 388 (2021), 1403-1474

7. Genus-one Gromov-Witten invariants of quintic three-folds via MSP localization, with Huai-Liang Chang, Shuai Guo, Wei-Ping Li

International Mathematical Research Notices, Issue 19 (2020), Pages 64216462

8. Generating functions of planar polygons from homological mirror symmetry of elliptic curves, with Kathrin Bringmann, Jonas Kaszian, Research in number theory 6, 28 (2020).

9. Open Gromov-Witten Theory of KP2,KP1×P1,KWP[1,1,2],KF1 and Jacobi Forms, with Bohan Fang, Yongbin Ruan, Yingchun Zhang

10. Communications in Mathematical Physics, 369 (2019), Issue 2, 675719

11. Quantum Spacetime on a Quantum Simulator, with Keren Li et. al. Communications Physics, volume 2, 122 (2019)

12. Local density matrices of many-body states in the constant weight subspaces, with Jianxin Chen, Muxin Han, Youning Li, Bei Zeng

Reports on Mathematical Physics, 83 (3), 273-292, 2019.

13. LG/CY Correspondence for Elliptic Orbifold Curves via Modularity, with Yefeng Shen, Journal of Differential Geometry, Vol. 109, No. 2 (2018), 291336

14. Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory, with Yefeng Shen, Communications in Number Theory and Physics, vol 11. no. 2, 405-452, 2017.

15. GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications), 13 (2017), 030.

16. Joint product numerical range and geometry of reduced density matrices, with Jianxin Chen, Cheng Guo, Zhengfeng Ji, Yiu-Tung Poon, Nengkun Yu, Bei Zeng, Sci. China Phys. Mech. Astron. (2017) 60: 020312.

17. Airy Equation for the Topological String Partition Function in a Scaling Limit, with Murad Alim and Shing-Tung Yau, Letters in Mathematical Physics, 106 (2016), Issue 6, 719729

18. Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds, with Siu-Cheong Lau, Communications in Number Theory and Physics, vol 9. no. 2, 345-385, 2015.

19. Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings, with Murad Alim, Emanuel Scheidegger and Shing-Tung Yau,  Advances in Theoretical and Mathematical Physics, 18.2 (2014), 401467

20. Chern-Simons invariants and isometric immersions, with Li Ma, Monatshefte fu ̈r Mathematik, 159 (2010), 361–378

21. Mirror Symmetry for Plane Cubics Revisited, Conference Proceeding of "Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds, and Picard-Fuchs Equations", 593–619, 2018.

22. Lectures on BCOV Holomorphic Anomaly Equations, with Atsushi Kanazawa, Chapter 13 in Fields Institute Monographs Volume 34 2015, Calabi-Yau Varieties: Arithmetic, Geometry and Physics.

23. Polynomial Structure of Topological String Partition Functions, Chapter 14 in Fields Institute Monographs Volume 34 2015, Calabi-Yau Varieties: Arithmetic, Geometry and Physics.