Weimin Chen

Professor
Department of Mathematics and Statistics
University of Massachusetts-Amherst

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Research

Recent Papers:

• Topology of symplectic Calabi-Yau $4$-manifolds via orbifold covering
• 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)

Problem List:

• Finite symmetries in dimension four: 10 open questions

Fall 2022 Clifford Lectures in memory of Slawomir Kwasik:

• Conference
• Talk

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.