Rui Wang   王蕊
Visiting Assistant Professor at UCI.
Email: ruiw10 AT math DOT uci DOT edu
Office Tel: (949) 824 -4232
Office Location: 410N Rowland Hall
Research Interests: symplectic geometry and contact geometry, with a special emphasis on various related moduli space theories and their applications to defining invariants and studying the topology of symplectic and contact manifolds.
Publication List (2017)
On Hamiltonian Gromov-Witten theory:
The asymptotic behavior of finite energy symplectic vortices with admissible metrics. [with Bohui Chen and Bai-Ling Wang] 2017. Submitted. pdf
L2-Moduli spaces of symplectic vortices on Riemann surfaces with cylindrical ends. [with Bohui Chen and Bai-Ling Wang] 2015. Submitted. pdf
On orbifold Lie groupoids and orbifold Gromov-Witten theory:
The Groupoid structure of groupoid morphisms. [with Bohui Chen and Cheng-Yong Du] 2017. Submitted. pdf
Orbifold Gromov-Witten theory of weighted blowups. [with Bohui Chen and Cheng-Yong Du] 2017. Submitted. pdf
Symplectic neighborhood theorem for symplectic orbifold groupoids. [with Bohui Chen and Cheng-Yong Du] 2016. Accepted by ACTA Mathematica Sinica, Chinese series. 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] Nagoya Mathematical Journal (2017): 1-96. pdf,
Analysis of contact Cauchy-Riemann maps I: a priori $C^k$ estimates and asymptotic convergence [with Yong-Geun Oh] Accepted by Osaka Journal of Mathematics (2017). pdf
Canonical connection on contact manifolds [with Yong-Geun Oh] 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] 2006 preprint. pdf
Teaching Statement (2017)
Math 3A, linear algebra.
Math 2D, multivariable calculus 1. Lecture Notes
Math 2E, multivariable calculus 2.
Math 120A, group theory. Lecture Notes
Math 120B, ring and field theory. Lecture Notes
Math 118, theory of ordinary differential equations. Lecture Notes
Math 199, undergraduate research.
All rights reserved for these lecture notes.
Teaching Sample Video
Jul, 10 -14, 2017. Summer School on Floer Homotopy Theory. UCLA.
Apr, 28, 2017. Geometry and Topology seminar at UC-Riverside.
Mar, 6 -10, 2017. Gauge Theory and Categorification. UCLA.
Sep, 30 - Oct, 2, 2016. Yamabe Symposium: Symplectic Geometry and Complex Geometry. University of Minnesota.
Apr, 29, 2016. Geometry and Topology seminar at UCLA.
Mar, 5-6, 2016. Symplectic and Contact Geometry at the AMS Sectional Meeting at University of Georgia in Athens, GA.
Apr, 29, 2016. Geometry and Topology seminar at Caltech