Phone: (512) 471-0174
Office: RLM 12.114
FAX: (512) 471-9038
Email: radin (at) math (dot) utexas (dot) edu
Current research interest: Hilbert's eighteenth problem -
understanding the symmetry of
optimally dense packings, of spheres or polyhedra, in Euclidean and
hyperbolic spaces, including aperiodic tilings such as the
pinwheel, the
quaquaversal,
and the
Penrose kites and darts. I'm also working on the closely related
physics problem of the origin of structure in
high density matter,
using
probabilistic models of sphere packings. For instance I'm
interested in proving phase transitions in statistical mechanics models such
as hard spheres, used in modelling both thermal equilibrium and granular
matter such as sand piles.
