Publications and Preprints
(with Gang Tian) Adiabatic limits of gauged Witten equation
in progress
(with Shu Shen and Jianqing Yu) Analytic torsion in Landau-Ginzburg model
in progress
arxiv link 24. (with Shaoyun Bai) Arnold conjecture over integers

arxiv link 23. (with Shaoyun Bai) An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants
arxiv link 22. (with Gang Tian) Counting pointlike instantons virtually without gluing

arxiv link 21. (with Sushmita Venugopalan and Chris Woodward) Fukaya categories of blowups
arXiv link 20. (with Chris Woodward) Partly-local domain-dependent almost complex structures

arXiv link 19. (with Gang Tian) Gauged linear sigma model in geometric phases
arXiv link 18. (with Chris Woodward) An open quantum Kirwan map

arXiv link 17. Gluing affine vortices
Journal link arXiv link 16. A compactness theorem for SO(3) Anti-Self-Dual equation with translation symmetry
Advances in Mathematics 408 (2022) 108576
Book Link 15. (with Gang Tian) Gauged Witten equation and adiabatic limit
Integrability, Quantization, and Geometry (Dubrovin Memorial Volume) I: Integrable Systems Proceedings of Symposia in Pure Mathematics 103-I (2021), 503--514
Journal link arXiv link 14. (with Gang Tian) Virtual cycles of gauged Witten equation
Journal für die reine und angewandte Mathematik 771 (2021), 1--64
Journal link arXiv link 13. (with Gang Tian) A wall-crossing formula and the invariance of GLSM correlation functions
Peking Mathematical Journal 3 (2020), 235--291
Journal link arXiv link 12. (with Weiwei Wu) Gauged Floer homology and spectral invariants
International Mathematics Research Notices 2018, no. 13, 3959-4021
Journal link arXiv link 11. (with Gang Tian) Analysis of gauged Witten equation
Journal füdie reine und angewandte Mathematik 740 (2018), 187-274
Journal link arXiv link 10. (with Sushmita Venugopalan) Local model for the moduli space of affine vortices
International Journal of Mathematics 29 (2018), no. 3, 1850020, 54pp
Journal link arXiv link 9. (with Dongning Wang) Compactness in adiabatic limit of disk vortices
Mathematische Zeitschrift 287 (2017) 405-459
Journal link arXiv link 8. (with Gang Tian) The symplectic approach of gauged linear sigma model
Proceedings of the Gökova Geometry-Topology Conference 2016, 86-111
Journal link arXiv link 7. (with Gang Tian) Correlation functions of gauged linear σ-model
Science China Mathematics 59 (2016), 823-838
Journal link arXiv link 6. Gauged Hamiltonian Floer homology I: the definition of Floer homology groups
Transactions of the American Mathematical Socienty 368 (2016), no. 4, 2967-3015
Journal link arXiv link
(different title)
5. Classification of U(1)-vortices with target C^N
International Journal of Mathematics 26 (2015), no. 13, 1550109, 20 pp
Journal link arXiv link 4. (with Stephen Schecter) Morse theory for Lagrange multipliers and adiabatic limits
Journal of Differential Equations 257 (2014) 4277-4318
Journal link arXiv link 3. Moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactness
Advances in Mathematics 242 (2013) 1-49
Link 2. Symplectic vortex equation and adiabatic limits
PhD thesis, Princeton University, June 2013
Journal link arXiv link 1. (with Huitao Feng and Weiping Zhang) Real embedding, η-invariant and Chern-Simons current
Pure and Applied Mathematics Quarterly 5 (2009), no. 3, Special Issue: In honor of Friedrich Hirzebruch. Part 2, 1113-1137