Regina Rotman

Regina Rotman is a Professor in the Department of Mathematics at the University of Toronto. Her research specializes in Riemannian Geometry, focusing on the properties and bounds of geodesics and minimal surfaces.

• Contact: rina@math.utoronto.ca
• Affiliation: University of Toronto, Bahen Centre, Room 6262

Research Interests
Rotman's work explores advanced geometric problems, including:

• Quantitative analysis of geodesic loops and segments
• Topological and metric constraints on Riemannian manifolds
• Linear bounds for minimal structures on spheres
• Applications of Morse theory to geometric optimization

Publication Trends
Her recent articles (2013-2007) emphasize geometric bounds, periodic geodesics, and topological configurations. Collaborative projects with Alexander Nabutovsky and others dominate her work, spanning topics like metric volume relations, geodesic nets, and curvature-free bounds for minimal surfaces.