Sde-Boker lecture (photo by T. Gelander) |
Welcome to the math homepage of## Peter 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 Dynamics**2** 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

During the spring of 2009 I taught a course on mapping class groups at Hebrew University in Jerusalem.

Scanned notes are available. View the homepage.

View my gallery of computer images. (It may load slowly.)

I wrote pinlabeler, a graphical extension to Colin Rourke's excellent figure labelling tex package pinlabel. With your latex file open in a text editor, pinlabeler opens a gv window showing your figure. Rather than manually copying coordinates from gv to your latex file, left-clicking in pinlabeler's gv window sends the coordinates to the latex file automatically. The coordinates are formatted for pinlabel.

Nathan Dunfield has written a very similar (and probably better) program labelpin. It works on Macs.

More information about pinlabeler.

Time to kill? Try the take-home final exam I prepared for undergraduate honors algebra at the University of Chicago in 2004, or my in-class final exam for undergraduate honors analysis at Stanford in 2007. (Most of the questions are taken from various long-forgotten sources.)

Many thanks to the University of Pennsylvania for hosting my webpage.