Regina Rotman

Speaker at CUNY Geometric Analysis 2006. This webpage was created by the conference webmaster and is out of date. Here is her homepage.

Pennsylvania State University and University of Toronto

Contact: rotman (at) math.psu.edu

Funding: NSF Grant

Curvature-Free Estimates for Extremal Objects in Riemannian Geometry and Quantitative Topology

Research: Mathscinet Reviews

• "The length of a shortest geodesic loop at a point" preprint
• "The length of a shortest geodesic net on a closed Riemannian Manifold" preprint
• "The length of a shortest closed geodesic and the area of a $2$-dimensional sphere", to appear in Proceedings of the AMS. preprint
• "Curvature-free upper bounds for the smallest area of a minimal surface", with Alexander Nabutovsky, to appear in GAFA,
• "The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group." with Alexander Nabutovsky, Geom. Dedicata 113 (2005), 243--254.
• "The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls." Geom. Dedicata 110 (2005), 143--157. preprint
• "Volume, diameter and the minimal mass of a stationary 1-cycle." with Alexander Nabutovsky, Geom. Funct. Anal. 14 (2004), no. 4, 748--790.
• "Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem." with Alexander Nabutovsky, J. Eur. Math. Soc. (JEMS) 5 (2003), no. 3, 203--244.
• "The area of a minimal embedded 2-sphere in a manifold diffeomorphic to $S\sp 3$." with Alexander Nabutovsky, Int. Math. Res. Not. 2003, no. 39, 2121--2129.
• "The length of the shortest closed geodesic on a 2-dimensional sphere"with Alexander Nabutovsky, Int. Math. Res. Not. 2002, no. 23, 1211--1222. preprint
• "Upper bounds on the length of the shortest closed geodesic on simply connected manifolds". Math. Z. 233 (2000), no. 2, 365--398. preprint