Ryan Hoban
Department of Mathematics
Mathematics Building
University of Maryland
College Park, MD 20742-4015
Email: rfhoban@math.umd.edu
Office: 4410 Mathematics Building
I am a Ph.D. Candidate at The Univeristy of Maryland. My advisor is William Goldman.
Research Interests: Projective and Hyperbolic Geometry, Geometric Structures of Manifolds, Convex Domains, Computational Geometry and Geometric Visualization
Math Projects:
- A short presentation I gave at Sage Days 9 about Geometric Structures on Surfaces
- Shadow Problems in Spherical and Hyperbolic Geometry
- Siegel's Generalized Upper Half Space
- The Boundary of the BiDisk
- A Mathematica project using Stallings graph foldings to study Subgroups and Automorphisms of Free Groups:
- To simply read or print use this html version: Graph Foldings
- If you'd like to use the software, the Mathematica Notebook is GraphFoldings.nb. This notebook requires Combinatorica (standard with Mathematica 5.2), and relies upon FreeGroupAutos.m and FreeGroupAutos.nb by William Goldman. Simply save all 3 files in the same directory.
- Octagon Deformations: Projective structures on a Genus 2 Surface.
- A prettier version of these pictures appeared in the January 2007 issue of Notices of the American Mathematical Society with an article by William Goldman titled What is...a Projective Structure?
- My Scholarly Paper for my M.A. on Affine Automorphisms of Propely Convex Domains
- I work in the Experimental Geometry Lab