Research Interests: symplectic geometry, contact geometry, mathematical physics.
Current Teaching
Math 185 Section 1 and 5, Introduction to complex analysis.
Office Hours: MW 1pm-2:30pm or by appointment.
Lecture Note before Midterm
Research
On orbifold Lie groupoids and orbifold Gromov-Witten theory:
Double ramification cycles with orbifold targets. [with Bohui Chen and Cheng-Yong Du] Preprint 2020. pdf
Orbifold Gromov-Witten theory of weighted blowups. [with Bohui Chen and Cheng-Yong Du] Accepted by Science China Mathematics 2020. pdf
The Groupoid structure of groupoid morphisms. [with Bohui Chen and Cheng-Yong Du] Published at Journal of Geometry and Physics 145 (2019) 10348. pdf
Symplectic neighborhood theorem for symplectic orbifold groupoids. [with Bohui Chen and Cheng-Yong Du] Published at ACTA Mathematica Sinica, Chinese series. pdf
On Hamiltonian Gromov-Witten theory:
The asymptotic behavior of finite energy symplectic vortices with admissible metrics. [with Bohui Chen and Bai-Ling Wang] Published at Science China (Chinese Version), Mathematics, 2019. English, Chinese.
L2-Moduli spaces of symplectic vortices on Riemann surfaces with cylindrical ends. [with Bohui Chen and Bai-Ling Wang] Preprint 2015. Submitted. pdf
On pseudo-holomoprhic curves in contact manifolds:
Analysis of contact Cauchy-Riemann maps II: Canonical neighbourhoods and exponential convergence for the Morse-Bott case [with Yong-Geun Oh] Published at Nagoya Mathematical Journal (2017): 1-96. pdf,
journal version
Analysis of contact Cauchy-Riemann maps I: a priori $C^k$ estimates and asymptotic convergence [with Yong-Geun Oh] Published at Osaka Journal of Mathematics (2017). pdf
Canonical connection on contact manifolds [with Yong-Geun Oh] Published at Real and Complex Submanifolds. Springer Japan, 2014. 43-63. journal version
Undergraduate research on ODEs:
Quasi-periodic solutions for reversible oscillators at resonance [with Bin Liu] Preprint 2006. pdf