Lucas Sabalka's Homepage

(Photo of Lucas Sabalka)
Address: Department of Mathematical Sciences
Binghamton University, SUNY
Binghamton, NY 13902-6000
Office: LN 2220
Office Phone: (607) 777-4246
Fax: (607) 777-2450
Email: sabalka@math.binghamton.edu
Research Interests: geometric group theory, algebraic topology, computational geometry

About Me

I am a Riley Assistant Professor at Binghamton University. I have been at Binghamton since January 2009. Before that, I was a Krener Assistant Professor at the University of California, Davis under the guidance of Misha Kapovich. I received my Ph.D. from the University of Illinois at Urbana-Champaign in May 2006 for my dissertation Braid Groups on Graphs. My Ph.D. advisor was Ilya Kapovich.

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Curriculum Vitae, etc.

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Research

I am currently working on three main topics.

I also have latent projects with Jerry Kaminker on generalized expanding graphs; and with Moon Duchin on horofunction boundaries, for instance of the mapping class group.

Papers below are linked to their journal of publication. Many also appear in the ArXiv.
  1. F-vectors of subdivided simplicial complexes.
    With Emanuele Delucchi. In Progress. (abstract)

  2. Generalized expanders and Lipschitz cohomology.
    With Jerry Kaminker. In Progress. (abstract)

  3. Projection-forcing multisets of weight changes.
    with Josh Brown Kramer. Submitted. (abstract)

  4. Multidimensional online mobile robot planning.
    With Josh Brown Kramer. To appear, International Journal of Computational Geometry and Applications. (abstract)

  5. Presentations of graph braid groups
    With Daniel Farley. Submitted. (abstract)

  6. On rigidity and the isomorphism problem for tree braid groups.
    Groups, Geometry, and Dynamics,3(3):469-523, 2009.\\ (abstract)

  7. On the cohomology rings of tree braid groups .
    With Daniel Farley. Journal of Pure and Applied Algebra, 212(1):53-71, 2007. (abstract)

  8. Embeddings of right-angled Artin groups into graph braid groups.
    Geometriae Dedicata, 124:191-198, 2007. (abstract)

  9. Discrete Morse theory and graph braid groups.
    With Daniel Farley. Algebraic and Geometric Topology, 5:1075-1109, 2005. (abstract)

  10. Geodesics in the braid group on three strands.
    In Group theory, statistics, and cryptography, volume 360 of Contemporary Mathematics,
    pages 133-150. Amer. Math. Soc., Providence, RI, 2004. (abstract)
    This is a version of my undergraduate thesis, prepared under advisors Susan Hermiller and John Meakin.

Dissertation


Geometry and Topology Seminar


Teaching

Present
Fall 2009 (Office Hours: MW1:00pm-2:15pm)
Past

Conferences

(see slides below)

(* = invited address)

Slides


Links

A friend has started an interesting new website, MinutesPlease.com . Check it out; if you like it, Digg it.
Binghamton Wiki
We Can Solve It
Help save the world.
My MSRI Resources Page
This is my links page for MSRI's program in Fall 2007; now out-of-date.
Interesting mathematics
Since this blog of interesting coarse math cites me, I'm citing it!
My default departmental webpage