Ph.D. Candidate

Chaoyang
Gao

Kevin

PhD candidate at UC Riverside, working under Dr. Brian Collier. Research in differential geometry, complex geometry, and Higgs bundle theory.

Differential Geometry Complex Geometry Higgs Bundles Teichmüller Theory Riemann Surfaces
Incoming Faculty — Oklahoma Baptist University · Fall 2026
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Incoming Position
Oklahoma Baptist University
Faculty · Fall 2026
Current
UC Riverside — PhD Candidate
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About

I am a fifth-year PhD candidate in the Department of Mathematics at the University of California, Riverside, advised by Dr. Brian Collier. I received my M.S. from UC Riverside and my B.S. from Biola University.

My research interests lie in differential and complex geometry, with a focus on Higgs bundles, flat connections, and the geometry of moduli spaces. I am also drawn to Teichmüller theory and its connections to representation varieties.

Alongside research, I am committed to mathematics education. I have taught courses from precalculus through multivariable calculus and topology at UC Riverside and California Baptist University.

This fall, I will be joining the faculty at Oklahoma Baptist University in Shawnee, Oklahoma. I look forward to building a strong teaching program and continuing my research there.