Topology and Geometry Faculty
Faculty with Research Interests in Topology and Geometry
Research Faculty:
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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.
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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.
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Gary C. Hamrick
(hamrick@math.utexas.edu):
Research interests include the relations between the
geometry and the topology of manifolds.
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Sean M. Keel
(keel@math.utexas.edu):
Research interests include Algebraic Geometry, particularly Mori's program,
GIT, moduli problems, and intersection theory.
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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.
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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..
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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.
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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.
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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.
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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.
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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".
Post-Doctoral Faculty:
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Nurit Krausz
(nurit@math.utexas.edu):
Research interests include Quantum Dynamics on Non-compact Group Manifolds..
Links to Research Groups:
