Esther Cabezas Rivas

Esther Cabezas Rivas is an Assistant Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia. She is affiliated with the Geometric Analysis Group U.V. (GAGUV) and conducts research in differential geometry and geometric analysis.

Research Interests: Her primary research areas include differential geometry, geometric analysis, curvature flows (especially Ricci flow and mean curvature flow), partial differential equations on manifolds, and global analysis. She investigates volume-preserving geometric flows, soliton solutions, and curvature evolution in symmetric and noncompact spaces.

Publication Trends: Her research publications since 2006 demonstrate a sustained focus on geometric evolution equations, particularly mean curvature flow and Ricci flow. Her work combines analytical PDE techniques with deep geometric insights, often exploring long-time behavior, singularity formation, and curvature preservation under flow. Collaborations with leading geometers have resulted in publications in top journals such as Inventiones Mathematicae and Calculus of Variations and Partial Differential Equations.

• Email: esther.cabezas-rivas@uv.es
• Personal Website: https://www.uv.es/estcari2/

Academic Background: She received her PhD in 2008 from the University of Valencia under the supervision of Dr. Vicente Miquel with a thesis on volume-preserving curvature flows in rotationally symmetric spaces.