Jason Behrstock's Home Page

250 Bedford Pk. Blvd,

Bronx, NY 10468

Office: 204 Gillet Hall

I'm the one upside down!

My primary interests are in geometric group theory and low dimensional topology.
My curriculum vitae and research statement.

Fall 2009 Courses:

• Calculus 3 (Math 226) at Lehman. Syllabus.
• Topics in Group Theory, at the Graduate Center. Syllabus.

Papers:

(Available as PDF files, email me if you need an alternate format.)

• Quasi-isometric classification of some high dimensional right-angled Artin groups, with T. Januszkiewicz and W. Neumann
      Preprint, June 2009.
• Median structures on asymptotic cones and homomorphisms into mapping class groups, with C. Drutu and M. Sapir
      Preprint, October 2008.
• Centroids and the rapid decay property in mapping class groups, with Y. Minsky
      Preprint, January 2008.
• Growth of intersection numbers for free group automorphisms, with M. Bestvina and M. Clay
      Journal of Topology, to appear.
• Geometry and rigidity of mapping class groups, with B. Kleiner, Y. Minsky, and L. Mosher
      Preprint, January 2008.
• Commensurability and QI classification of free products of finitely generated abelian groups, with T. Januszkiewicz and W. Neumann
      Proceedings of the American Mathematical Society, 137, 811-813, 2009.
• Quasi-isometric classification of graph manifolds groups, with W. Neumann
      Duke Mathematical Journal, 141 (2): 217-240, 2008.
      Duke University Press online published version, subscription required.
• Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity, with C. Drutu and L. Mosher
      Mathematische Annalen, vol. 344, (2009), 543--595.
• Dimension and rank for mapping class groups, with Yair Minsky
      Annals of Mathematics, 167: 1055-1077, 2008.
      Online published version.
• Curve complexes and finite index subgroups of mapping class groups, with Dan Margalit.
      Geometriae Dedicata 118 (1): 71-85, 2006.
      Springer online published version, subscription required.
• Asymptotic Geometry of the Mapping Class Group and Teichmuller Space
      (The last two sections of this paper contains new results not in the Ph.D. thesis.)
      This final published version is more current than the one at the arXiv.
      Geometry & Topology 10: 1523-1578, 2006.
• Asymptotic Geometry of the Mapping Class Group and Teichmuller Space
      SUNY Stony Brook Ph.D. Thesis, May 2004.

Summer 2008 REU:

The Tower of Hanoi (Homepage with links to publications by the undergraduate participants in the group)
If you are not familiar with the Tower of Hanoi, here is a video of my daughter Kaia (age 4), playing with the game.

Relevant seminars in New York City:

• CUNY Geometry and Topology Seminar
• Columbia Geometric Topology Seminar
• Magnus Seminar (Group Theory Seminar at CUNY Graduate Center)

Upcoming conferences I'll be attending:

• January 2009, Gyeongju, Korea - The 5th East Asian School of Knots and Related Topics
• June 2009, Muenster, Germany - Geometry and Topology
• September 2009, Tokyo, Japan - Topology and Computer
• October 2009, New York City - Finitely Presented Groups: Where do we go from here
• 2010, Banff, Canada - Quasi-isometric rigidity in low dimensional topology (Organizers: J. Behrstock, M. Kapovich, W. Neumann)

Mathematical Games

Expacon: Baumslag's group theory game.
Teruaki: A Mapping Class Group game.
Geometry and Topology games: Classics by Jeff Weeks.

Misc

Pictures of my daughters: Kaia Sophia Behrstock and Ela Margaret Behrstock.
Pictures of friends.
Verde Luna.
Old web pages: http://www.math.sunysb.edu/~jabehr and http://www.math.utah.edu/~jason

This material is based upon work supported by the National Science Foundation under Grants No. 0604524 and 812513.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.