
Charles L Radin
Professor
Department of MathematicsMathematical Physics, Discrete Geometry, Extremal Combinatoricsradin@math.utexas.edu
Phone: 5124710174
Office Location
PMA 12.114
Postal Address
2515 SPEEDWAY
AUSTIN, TX 78712

Ph.D., University of Rochester (1970)
Research Interests
Mathematical Physics, Discrete Geometry, Extremal Combinatorics
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 compacted sand, and quasicrystals. And although direct applications are not yet as compelling, I am also applying similar ideas to random networks and random permutations.