Sam Ballas

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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.

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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.


  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


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


Current Courses

Older Courses

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Upcoming Travel

  1. UF/FSU Topology Meeting
    (University of Florida, 2/2017)
  2. Visit to UT Austin
    (Austin, TX 3/2017)
  3. Conference on dynamics on character varieties
    (Rennes, France 6/2017)
  4. 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. Classification of Generalized Cusps (Slides)
    (Joint Mathematics Meetings, Special Session on Group Actions and Geometric Structures, Atlanta, GA 1/7/2017 )
  2. Classification of Generalized Cusps
    (California Institute of Technology, Geometry and Topology Seminar, 4/22/2016)
  3. Geometric Structures on Manifolds (Slides)
    (Florida State University, Mathematics Colloquium, 1/15/2016)
  4. Deforming Properly Convex 3-manifolds (Slides)
    (Florida State University, Topology Seminar, 1/14/2016)
  5. Convex Projective Structures on Non-hyperbolic 3-manifolds (Slides)
    (Workshop on Interactions in Higher Teichmuller Theory, Heidelberg, Germany)
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