Sam Ballas

FSU math logo

About me

I am currently an an assistant professor in the Department of Mathematics at Florida State University.

Previously I was an RTG visiting assistant professor at UC Santa Barbara. Before that I was a graduate student at The University of Texas at Austin under the supervision of Alan Reid.

If you want to learn more about me feel free to check out my CV.

Your logo

Research

My research is primarily concerned with understanding various types of geometric structures on manifolds. Studying these structures typically involves the interplay of techniques from algebra, geometry, and topology.

Papers

  1. Rank 1 deformations of non-compact hyperbolic lattices
    joint with Julien Paupert and Pierre Will, arXiv:1702.00508
  2. Convex projective bendings of hyperbolic manifolds
    joint with Ludovic Marquis, arXiv:1609.03046
  3. Convex projective structures on non-hyperbolic three-manifolds
    joint with J. Danciger and G.-S. Lee, arXiv:1508.04794
  4. Constructing thin subgroups commensurable with the figure-eight knot group
    joint with Darren Long, Algebr. Geom. Topol. 15 (2015), no. 5, 3011–3024
  5. Finite volume properly convex deformations of the figure-eight knot
    Geom. Dedicata 178 (2015), 49–73

Work in progress

Copies may be available upon request

  1. Classification of generalized cusps
    joint with Daryl Cooper and Arielle Leitner

Notes

  1. A Geometric Description of (P)SL(4,R) Hitchin Representations
    notes from workshop on higher teichmuller theory
Transition

Teaching

Current Courses


Older Courses

Ireland Sunrise

Activities

Upcoming Travel

  1. Visit to UT Austin
    (Austin, TX 3/2017)
  2. Conference on dynamics on character varieties
    (Rennes, France 6/2017)
  3. GEAR Retreat
    (Stanford University, 8/2017)

Things I'm Organizing

  1. GEAR Junior Retreat 2017
    (Stanford University, 7/31-8/5/2017)

Invited Talks

  1. Geometric Structures on Manifolds
    (UF/FSU Topology and Dynamics Meeting, University of Florida, 2/25/2017)
  2. Classification of Generalized Cusps (Slides)
    (Joint Mathematics Meetings, Special Session on Group Actions and Geometric Structures, Atlanta, GA 1/7/2017 )
  3. Classification of Generalized Cusps
    (California Institute of Technology, Geometry and Topology Seminar, 4/22/2016)
  4. Geometric Structures on Manifolds (Slides)
    (Florida State University, Mathematics Colloquium, 1/15/2016)
  5. Deforming Properly Convex 3-manifolds (Slides)
    (Florida State University, Topology Seminar, 1/14/2016)
Palace Korea

Castle Heidelberg

Contact

321 Love Building
1017 Academic Way
Tallahassee, FL 32306-4510
E-mail: lastname@math.fsu.edu
Seal Pic