Rafe Mazzeo

Rafe Mazzeo is a Professor of Mathematics and the Cassius Lamb Professor in Natural Sciences at Stanford University. He is affiliated with the Department of Mathematics, specializing in geometric analysis, partial differential equations, and differential geometry. His research focuses on areas such as Hitchin moduli spaces, Ricci flow, minimal surfaces, and geometric inverse problems.

His expertise includes microlocal analysis, geometric PDE, and the analysis of singularities in geometric structures. Notable contributions involve the study of conical metrics on Riemann surfaces, the compactification of Hitchin moduli spaces, and the analysis of Ricci flow on manifolds with bounded geometry. His work often bridges geometric analysis with applications in physics, such as geometric inverse problems related to astrophysical systems.

Publications highlight advancements in nonlinear flows, scattering theory on wave-guides, and the topological properties of moduli spaces. His research spans theoretical developments in spectral geometry, operator theory, and the geometric analysis of singular spaces. Mazzeo's work has implications for understanding geometric structures in both pure and applied contexts, including contributions to mathematical physics and geometric topology.