Leonard Gillman Emeritus (len@math.utexas.edu): Research interests include Rings of Continuous Functions.
Robert E. Gompf (gompf@math.utexas.edu): Research interests include topology of 4-manifolds, gauge theory and its applications to topology, topology of algebraic surfaces, symplectic topology, and contact geometry.
Cameron McA. Gordon (gordon@math.utexas.edu): Research interests include manifold topology, with particular emphasis on knot theory and 3-dimensional manifolds. Dr. Gordon's future research plans are to continue working on problems in low-dimensional manifold topology, especially those related to classical knot theory.
Gary C. Hamrick (hamrick@math.utexas.edu): Research interests include the relations between the geometry and the topology of manifolds.
Sean M. Keel (keel@math.utexas.edu): Research interests include Algebraic Geometry, particularly Mori's program, GIT, moduli problems, and intersection theory.
John E. Luecke (luecke@math.utexas.edu): Research interests include the topology and geometry of 3-dimensional spaces. In particular the study of how the operation of "Dehn surgery" on a knot in 3-dimensional space affects the topology of the space. He has also spent time working with the application of topology to biology in understanding the knotting of DNA.
Alan W. Reid (areid@math.utexas.edu): Research interests include low-dimensional topology and discrete groups. He is particularly interested in the geometry and topology of hyperbolic 3-manifolds, and properties of their fundamental groups. He is also interested in connections between hyperbolic 3-manifolds and number theory..
Lorenzo Sadun (sadun@math.utexas.edu): Research interests include quantum mechanics, nonperiodic tilings, adiabatic limits of wave equations, and other problems of bith physical and geometric interest.
Michael P. Starbird (starbird@math.utexas.edu): Research interests include low dimensional geometric topology and topics in mathematics education - particularly how to make mathematics accessible to the general public.
Karen K. Uhlenbeck (uhlen@math.utexas.edu): Research interests include Global analysis and differential geometry with a special interest in applications of non-linear analysis in topology; solutions of Yang-Mills and Sine-Gordon equations; the topology of moduli spaces.
James W. Vick (vsjwv@utxdp.dp.utexas.edu): Research interests include topics from algebraic and differential topology involving actions of groups on manifolds, bilinear forms and Witt groups. A secondary research interest is in mathematical models and applications of mathematics to problems in the life sciences.
Robert F. Williams (bob@math.utexas.edu): Research generally relates to Dynamical Systems. Currently, symbolic dynamics and matrices with entries in the positive integers. In particular, a partial converse to the Perron-Frobenius theorem. This takes one into "higher dimensional continued fractions".