• Teaching


  • Spring 2017

  • Math 1102 (Calculus II): Piazza
  • Math 2111 (Linear Algebra): Piazza

  • Past teaching


  • Research

  • Guts and volume for hyperbolic 3-orbifolds with underlying space S^3 with Jessica Mallepalle, Joseph Melby, Shawn Rafalski, and Jennifer Vaccaro. Preprint (2017). arXiv link
  • The lowest volume 3-orbifolds with high torsion with David Futer, To appear in Transactions of the American Mathematical Society (2017), pdf
  • Small volume link orbifolds with David Futer, Mathematical Research Letters 20 (2013), Issue 6, 995-101, pdf
  • The smallest Haken hyperbolic polyhedra with Shawn Rafalski. Proceedings of the American Mathematical Society 141 (2013) 1393-1404. pdf
  • Two-sided combinatorial volume bounds for non-obtuse hyperbolic polyhedra Geometriae Dedicata, Volume 153, Number 1, Pages 177-211 (2011). pdf
  • Volume estimates for equiangular hyperbolic Coxeter polyhedra Algebraic & Geometric Topology 9 (2009) 1225-1254. pdf



  • Slides, pictures, and miscellany

  • Fly around in the smallest volume orientable hyperbolic 3-orbifold: Click here!
  • Slides (pdf) from 2016 talk on "Guts and volume for a certain family of hyperbolic 3-orbifolds" at the fall 2016 Central Sectional Meeting of the AMS
  • Slides (pdf) from 2016 talk on "Hyperbolic 3-orbifolds with high torsion" at "Advances in quantum and low-dimensional topology" conference at the University of Iowa
  • Slides (pdf) from 2014 talk on "Small volume link orbifolds" at the International Congress of Mathematicians in Seoul.

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