About Myself

I am a Visiting Assistant Professor at department of mathematics, University of California, Irinve (since 2013). My post-doc mentor is Zhiqin Lu. I was a graduate student at Department of Mathematics, Princeton University (2008-2013). My PhD advisor is Gang Tian.

In July 2015, I will return to Princeton University as an Associate Research Scholar.

Here is my CV.

I am teaching MATH 121A (Linear Algebra designed for math majors) in Fall 2014. For more information please see the Teaching page.

I am interesting in symplectic geometry problems which are related to string theory. Below are my papers. For more information please see the Research page and my Research Statement.

Papers

  • Real embedding, η-invariant and Chern-Simons current, (with Huitao Feng and Weiping Zhang), Pure Appl. Math. Q. 26 (2009), no.3, Special Issue: In honor of Friedrich Hirzebruch, Part 2, 1113-1137
  • Moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactness, Adv. Math. 242 (2013) 1-49
  • Morse theory for Lagrange multipliers and adiabatic limits, (with Stephen Schecter), J. Differential Equations, 257 (2014) 4277-4318
  • Gauged Hamiltonian Floer homology I: definition of the Floer homology group, to appear on Trans. Amer. Math. Soc., arxiv link.
  • U(1)-vortices and quantum Kirwan map, submitted, arxiv link.
  • Analysis of gauged Witten equation, (with Gang Tian), to appear on Crelle's Journal, arxiv link.
  • Correlation functions of gauged linear σ-model, (with Gang Tian), arxiv link.
  • Gauged Hamiltonian Floer theory and spectral invariants, (with Weiwei Wu), preprint.
  • Adiabatic limit of disk vortices, (with Dongning Wang), arxiv link.
  • Local model of affine vortices, (with Sushmita Venugopalan), in preparation
  • PhD thesis (Princeton University, June 2013) Symplectic vortex equation and adiabatic limits.

Contact

    410N Rowland Hall
      Department of Mathematics
        University of California, Irvine
          Irvine, CA 92697, USA