Phone: (512) 471-0174
Office: RLM 12.114
FAX: (512) 471-9038
Email: radin (at) math (dot) utexas (dot) edu
Will be on leave, travelling, in Fall 2013
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/low energy matter, using
probabilistic models of sphere packings.
In particular I'm interested in
phase transitions
in various exotic materials in and out of thermal equilibrium,
for instance
soft matter,
such as sand piles or crumpled sheets, and
quasicrystals. And
although
applications are not yet as compelling, I am also applying similar ideas to
random networks.
