**REGINA ROTMAN ** (Professor)

Department of Mathematics

University of Toronto

Toronto, ON M5S 3G3

Tel: (416) 946-3268

Fax: (416) 978-4107

rina@math.toronto.edu

**esearch:**
Riemannian Geometry

- Yevgeny Liokumovich, Alexander Nabutovsky and Regina Rotman Lengths of three simple periodic geodesics on a Riemannian 2-sphere, submitted for publication .
- Gregory Chambers and Regina Rotman Contracting loops on a Riemannian surface, submitted for publication .
- Yevgeny Liokumovich, Alexander Nabutovsky and Regina Rotman Contracting the boundary of a Riemannian 2-disc, submitted for publication .
- Alexander Nabutovsky and Regina Rotman Linear bounds for lengths of geodesic segments on Riemannian 2-spheres, JTA 5 (2013) 409-438 .
- Alexander Nabutovsky and Regina Rotman Length of geodesics and quantitative Morse theory on loop spaces, Geom. Funct. Anal. (GAFA), 23 (2013), no. 1, 367-414 .
- Regina Rotman Short geodesic loops on a complete Riemannian manifold with finite volume, Trans. Amer. Math. Soc. 365 (2013), no. 6, 2881-2894 .
- Alexander Nabutovsky and Regina Rotman Lengths of simple periodic geodesics on two-dimensional Riemannian spheres, Journal of Topology and Analysis, vol. 3, N. 4 (2011), 423-432 .
- Alexander Nabutovsky and Regina Rotman Linear bounds for lengths of geodesic loops on Riemannian 2-spheres", Journal of Diff. Geom., 89 (2011), 217-232 .
- Regina Rotman Flowers on Riemannian manifolds, Math. Z., 269 (2011), 543-554 .
- Alexander Nabutovsky and Regina Rotman Short geodesic segments between two points on a closed Riemannian manifold, Geom. Funct. Anal (GAFA), 19 (2009), 498-519 .
- Alexander Nabutovsky and Regina Rotman Length of geodesics on a two-dimensional sphere, American J. Math., 131:2 (2009), 545-569 .
- Alexander Nabutovsky and Regina Rotman The length of the second shortest geodesic, Comment. Math. Helv., 84 (2009), 747-755 .
- Regina Rotman The length of a shortest geodesic loop at a point, J. of Diff Geom., 78:3 (2008), 497-520 .
- Alexander Nabutovsky and Regina Rotman Shapes of geodesic nets, Geometry and Topology 11(2007), 1225-1254 .
- Regina Rotman Geodesic loops and periodic geodesics on a Riemannian manifold diffeomorphic to S^3, Math. Z., 257 (2007), 427-437 .
- Alexander Nabutovsky and Regina Rotman Lengths of geodesics between two fixed points on a Riemannian manifold, ERA of the AMS, 13(2007), 13-20 .
- Regina Rotman The length of a shortest geodesic net on a closed Riemannian manifold, Topology, 46:4 (2007), 343-356 .
- Regina Rotman The length of a shortest closed geodesic and the area of a 2-dimensional sphere, Proc. of the AMS, vol. 134, no. 10 (2006), 3041-3047 .
- Alexander Nabutovsky and Regina Rotman Curvature-free upper bounds for the smallest area of a minimal surface, Geom. Funct. Anal. (GAFA), 16:2(2006), 453-475 .
- Alexander Nabutovsky and Regina Rotman The minimal length of a non-trivial geodesic net on a closed Riemannian manifold with non-trivial second homology group, Geom. Dedicata 113(2005), 243-254 .
- Regina Rotman The length of a shortest closed geodesic on a 2-dimensional sphere and coverings by metric balls, Geom. Dedicata 110 (2005), 143-157 .
- Alexander Nabutovsky and Regina Rotman Volume, diameter and the minimal mass of a stationary 1-cycle, Geom. Funct. Anal. (GAFA), 14(2004), 748-790 .
- Alexander Nabutovsky and Regina Rotman Upper bounds for the length of the shortest closed geodesic and quantitative Hurewicz theorem, J. of the Europ.Math.Soc.(JEMS) 5(2003), 203-244 .
- Alexander Nabutovsky and Regina Rotman The minimal area of an embedded minimal 2-sphere in a manifold diffeomorphic to S^3, IMRN 2003(2003), 39, 2121-2129 .
- Alexander Nabutovsky and Regina Rotman The length of the shortest closed geodesic on a two-dimensional sphere, IMRN, 23(2002), 1211-1222.
- Regina Rotman Upper bounds for the length of the shortest geodesic on simply connected manifolds, Math. Z. 233 (2000), 365-398 .