معرفی
Theodora Bourni is an Associate Professor in the Department of Mathematics at the University of Tennessee, Knoxville, within the College of Arts and Sciences. Her research focuses on Geometric Analysis, Differential Geometry, and Partial Differential Equations, with specializations in Geometric Flows and Geometric Measure Theory. She holds a Ph.D. from Stanford University.
Her work explores ancient solutions of geometric flows, particularly mean curvature flow and curve shortening flow, analyzing their convexity, collapse dynamics, and singularity formation. She has collaborated extensively on topics like free boundary problems, curvature estimates, and spectral geometry in non-Euclidean settings. Key contributions include classifying ancient solutions in convex domains and studying the interplay between geometric evolution equations and topological transitions.
Her publications span journals such as the Journal of Differential Geometry, Calculus of Variations and Partial Differential Equations, and Annali della Scuola Normale Superiore di Pisa. She has edited conference proceedings on Mean Curvature Flow and authored a book chapter on minimal surfaces. Current research continues to investigate geometric flows' long-time behavior and their applications in differential geometry.
