Peter Petersen

Peter Petersen is a Professor of Mathematics at the Department of Mathematics, University of California, Los Angeles (UCLA). His research focuses on Riemannian Geometry, Differential Geometry, and related topics in curvature operators, Ricci solitons, and manifold theory.

His recent work includes studies on vanishing theorems for Hodge numbers, Tachibana-type theorems, and rigidity of gradient solitons. Collaborations with researchers like Matthias Wink, William Wylie, and Jan Nienhaus have advanced understanding in warped product metrics, holonomy, and Bochner technique applications.

Key publications span differential geometry subfields such as Ricci solitons, Einstein metrics, and Alexandrov spaces. Petersen's work often intersects with complex variables and metric geometry, reflecting a broad impact on geometric analysis.