Weimin Chen

Professor
Department of Mathematics and Statistics
University of Massachusetts-Amherst

photo

Teaching

Spring 2025: Math 421. Math 421 course page

Research

Recent Papers:

• Small symplectic 4-manifolds via contact gluing and some applications (new!)
• On a class of symplectic 4-orbifolds with vanishing canonical class
• Finite group actions on symplectic Calabi-Yau 4-manifolds with b_1>0
• A characterization of the standard smooth structure of K3 surface
• Resolving symplectic orbifolds with applications to finite group actions
• Contact splitting of symplectic Q-homology CP2
• Symplectic rational G-surfaces and equivariant symplectic cones (accepted by JDG)
• Fixed-point free circle actions on 4-manifolds

Problem List:

• Finite symmetries in dimension four: 10 open questions

Fall 2022 Clifford Lectures in memory of Slawomir Kwasik:

• Conference
• Talk

2025 Trisectors Workshop: Connections with Diffeomorphism Groups.

• Program

Course Notes

1. Introduction to Smooth Manifolds (Math 703)

Part 1, Part 2, Part 3, Part 4.

2. Introduction to Differential Geometry (Math 704)

Part 1, Part 2, Part 3, Part 4, Part 5.

3. Introduction to Symplectic Topology (Math 705)

Part 1, Part 2, Part 3.

4. Elliptic Equations and Pseudo-holomorphic Curves

Part 1, Part 2.