Research Group
Differential Geometry
We study fundamental problems in differential geometry with a focus on symmetric spaces, harmonic maps, and geometric structures. We use classical methods as well as finding new approaches inspired by algebraic geometry, number theory, and dynamics.
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Research
Active research projects:
- Minimal surfaces in symmetric spaces and the Labourie-Hitchin map
- Harmonic maps to hyperbolic space and isometric embeddings
- Counting tilings of surfaces, and relations to chemistry
- Mapping class group action on character varieties