![]() Sde-Boker lecture (photo by T. Gelander) |
Welcome to the math homepage ofPeter Storm |
I am interested in geometry and topology. Specifically, my research studied hyperbolic geometry and related topics. My thesis advisor was Richard Canary .
(18) "Lipschitz minimality of Hopf fibrations and Hopf vector fields", with Dennis DeTurck and Herman Gluck, Algebraic and Geometric Topology 13 (2013) 1369-1412.
(17) "Hyperbolic 3-manifolds", with Robert Meyerhoff, McGraw Hill 2010 Yearbook of Science & Technology.
(16) "Moduli spaces of hyperbolic 3-manifolds", with Richard Canary, Commentarii Mathematici Helvetici 88 Issue 1 (2013) 221-251.
(15) "The curious moduli space of unmarked Kleinian surface groups", with Richard Canary, The American Journal of Mathematics 134 Number 1, 71-85.
(14) "Local rigidity of hyperbolic manifolds with geodesic boundary", with Steven Kerckhoff, Journal of Topology 5 Issue 4, 757-784
(13) "Infinitesimal rigidity of a compact hyperbolic 4-orbifold with totally geodesic boundary", with Tarik Aougab, Algebraic & Geometric Topology 9 (2009) 537-548. We prepared notebooks to explain the computations of this paper in detail. This article was the result of an NSF-supported undergraduate research project with Tarik in the summer of 2008.
(12) "From the 24-cell to the cuboctahedron", with Steven Kerckhoff, Geometry & Topology 14 (2010) 1383-1477. This article uses lots of color.
(11) "Finiteness of arithmetic hyperbolic reflection groups", with Ian Agol, Mikhail Belolipetsky, and Kevin Whyte, Groups, Geometry, and Dynamics2 Issue 4 (2008) 481-498
(10) "Dense embeddings of surface groups", with Emmanuel Breuillard, Tsachik Gelander, and Juan Souto, Geometry & Topology 10 (2006) 1373-1389
(9) "Lower bounds on volumes of hyperbolic Haken 3-manifolds", with Ian Agol and Bill Thurston, and an appendix by Nathan Dunfield, Journal of the American Mathematical Society 20 (2007) 1053-1077
(8) "The Novikov conjecture for mapping class groups as a corollary of Hamenstadt's theorem"
(7) "Finitely generated subgroups of lattices in PSL(2,C)", with Yair Glasner and Juan Souto, Proceedings of the American Mathematical Society 138 (2010) 2667-2676.
(6) "Dynamics of the mapping class group action on the variety of Sl(2,C)-characters", with Juan Souto, Geometry & Topology 10 (2006) 715-736
(5) "Rigidity of minimal volume Alexandrov spaces", Annales Academiæ Scientiarum Fennicæ Mathematica 31 (2006) 381-389
(4) "Hyperbolic convex cores and simplicial volume", Duke Mathematical Journal 140 No.2 (2007) 281-319
(3) "The minimal entropy conjecture for nonuniform rank one lattices", Geometric and Functional Analysis 16 No.4 (2006) 959-980
(2) "The barycenter method on singular spaces", Commentarii Mathematici Helvetici 82 Issue 1 (2007) 133-173
(1) "Minimal volume Alexandrov spaces", Journal of Differential Geometry 61 (2002) 195-226
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More information about pinlabeler.