معرفی
Catherine Searle is a Full Professor in the Department of Mathematics, Statistics, and Physics at Wichita State University, where she has been a faculty member since 2014. She was promoted to Associate Professor with tenure in 2017 and to Full Professor in 2019. Prior to joining Wichita State, she held research positions in Mexico at CINVESTAV and the National Autonomous University of Mexico (UNAM). She is supported by the National Science Foundation and is a recognized expert in differential geometry, particularly in manifolds and Alexandrov spaces with curvature and symmetry.
Her research focuses on differential geometry, especially the structure of manifolds and metric spaces with positive and non-negative curvature under group actions. Her work explores the interplay between symmetry, curvature, and topology, with emphasis on torus and circle actions, cohomogeneity, and Alexandrov spaces. She has made significant contributions to the classification of positively curved spaces with symmetries and the study of geometric rigidity.
The recent articles reflect a strong trend in geometric analysis, particularly in classification problems under curvature and symmetry constraints. Her work combines deep topological insights with metric geometry, often leading to structural theorems for spaces with group actions. There is a consistent focus on torus symmetry, fixed-point sets, and curvature bounds, with increasing attention to singular spaces like Alexandrov spaces.
- Elected Member of the Mexican Academy of Sciences (2010)
Catherine Searle has been supported by the National Science Foundation for her research. She has advised numerous students and collaborators, though specific advisees are not listed in the provided texts. She has delivered many invited talks and is active in promoting women in mathematics through initiatives like the Women in Geometry webpage and organizing seminars.
She is involved in several collaborative research efforts and academic initiatives, including the Topology/Geometry Zoom Seminar, the WSU Friday Lecture Series, and the organization of the "New Frontiers in Curvature" program at SLMath in Fall 2024. She also contributes to outreach through Sonia Kovalevsky Day and maintains a public presence via her Wikipedia page and Google Scholar profile.
