Jiayin Pan
Assistant Professor · Riemannian Geometry
University of California, Santa CruzAbout
Jiayin Pan is an Assistant Professor at the Department of Mathematics, University of California, Santa Cruz. Their research focuses on Riemannian geometry, particularly the interplay between Ricci curvature and topology, Gromov-Hausdorff convergence, and Ricci limit spaces. Additional interests include Lorentzian geometry and sub-Riemannian geometry.
- Ph.D. from Rutgers University - New Brunswick (2018)
- Visiting Assistant Professor at UC Santa Barbara (AY 18-21)
- Fields Postdoctoral Fellow at Fields Institute (AY 21-22)
Research interests center on geometric analysis, with key contributions to understanding the structure of manifolds under curvature bounds, including work on topological rigidity, asymptotic geometry, and Hausdorff dimension in singular spaces. Recent publications highlight collaborations in spectral geometry, sub-Riemannian manifolds, and RCD spaces.
Notable scientific awards include Fields Postdoctoral Fellowships, NSF Grant DMS-2304698, and Simons Foundation Travel Support. Current grants support collaborative research and travel in the field of geometric analysis.
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