Peter Storm

School: University of Pennsylvania

Title: Assistant Professor

Office: 4N42

Office Phone: 215-898-9359

Email: pstorm at sas (dot) upenn (dot) edu

Address:
Department of Mathematics
David Rittenhouse Lab.
209 South 33rd Street
Philadelphia, PA 19104-6395

Are you looking for the homepage of math 240? If so, please click here.
Are you looking for the old homepage of math 241 from the fall of 2007? If so, please click here.
Research Interests

I am interested in geometric topology. Specifically, in my current research I study hyperbolic geometry and related topics. My thesis advisor was Richard Canary .

I will be spending the 2008-2009 academic year visiting Hebrew University in Jerusalem. This visit is thanks to the Roberta and Stanley Bogen Visiting Professorship at Hebrew University.

Personal History:
Stanford University        2004 - 2007
Szego Assistant Professor
University of Chicago        2003 - 2004
L.E. Dickson Instructor
University of Michigan        1998 - 2003
Ph.D. in Mathematics, August 2003
University of Chicago        1994 - 1998
B.A. in Mathematics, June 1998
Curriculum Vita (last updated March, 2008)
Papers and preprints: (Preprints are also available on ArXiv. Please refer to the appropriate journal for published papers. I post the published version neither here nor on the ArXiv.)

(1) ``Minimal volume Alexandrov spaces'', J. Diff. Geom. 61 (2002) 195-226

(2) ``The barycenter method on singular spaces'', Commentarii Mathematici Helvetici 82 Issue 1 (2007) 133-173

(3) ``The minimal entropy conjecture for nonuniform rank one lattices'', Geometric and Functional Analysis 16 No.4 (2006) 959-980 (Formerly titled ``The Besson-Courtois-Gallot theorem for finite volume spaces with unbounded geometry''.)

(4) ``Hyperbolic convex cores and simplicial volume'', Duke Mathematical Journal 140 No.2 (2007) 281-319

(5) ``Rigidity of minimal volume Alexandrov spaces'', Annales Academiae Scientiarum Fennicae Mathematicae 31 (2006) 381-389

(6) ``Dynamics of the mapping class group action on the variety of Sl(2,C)-characters'', with Juan Souto, Geometry and Topology 10 (2006) 715-736

(7) ``Finitely generated subgroups of lattices in PSL(2,C)'', with Yair Glasner and Juan Souto . (This paper is being revised and renamed "Normal complements to quasiconvex subgroups.")

(8) ``The Novikov conjecture for mapping class groups as a corollary of Hamenstadt's theorem''

(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

(10) ``Dense embeddings of surface groups'', with Emmanuel Breuillard, Tsachik Gelander, and Juan Souto, Geometry and Topology 10 (2006) 1373-1389

(11) ``Finiteness of arithmetic hyperbolic reflection groups'', with Ian Agol, Mikhail Belolipetsky, and Kevin Whyte, to appear in Groups, Geometry, and Dynamics

(12) ``From the 24-cell to the cuboctahedron'', with Steven Kerckhoff. Submitted in 2008. This article uses lots of color.

Check out the open problem list at the Center for the Topology and Quantization of Moduli Spaces in Århus. It is maintained by Jørgen E. Andersen.

my brothers-in-law

Here's a picture I made of the Finnish snowball, aka the Manhattan cube, or as I prefer, the quasi-Fuchsian box.

click here to enlarge image

For higher quality, save the enlarged image and use a better image viewer. The picture was made using POV-Ray and 23,478 lines of java generated code.

Click here the play an animation I made of the Finnish snowball growing, or right click to download the video.

Click here if the video won't play.

This material is based upon work supported by the National Science Foundation under Grant DMS-0741604.

"Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF)."