Analysis Faculty
Faculty with Research Interests in Analysis
Research Faculty:
-
Sterling Berberian
Emeritus
(berb@math.utexas.edu):
Research interests include Operators in Hilbert Space, Operator.
-
Alan K. Cline
(cline@math.utexas.edu):
Research interests include Mathematical Software, Numerical Analysis,
and Scientific Computing.
-
Rafael de la Llave
(llave@math.utexas.edu):
Research interests include Dynamical Systems [KAM, Hyperbolic Theory,
Computation], and Mathematical Physics.
-
John D. Dollard
(dollard@mail.utexas.edu):
Research interests include nonlinear differential equations via product
integration.
-
Irene Martinez Gamba
(gamba@math.utexas.edu):
Research interests include Applied Mathematics, Partial Differential Equations.
-
Clifford S. Gardner
Emeritus:
Research interests include Applied Mathematics and Dynamical Systems.
-
William T. Guy:
Research interests include Integral transforms, tensor analysis, applied
mathematics, and mathematics education.
-
George Lorentz
Emeritus:
Research interests include Analysis and Approximation Theory.
-
Edward W. Odell
(odell@math.utexas.edu):
Research interests include geometric functional analysis, Banach
space theory, functional anlaysis.
-
Bruce P. Palka
(palka@math.utexas.edu):
Research interests include (a) a
study of the implications of geometric measure theory for the theory of
quasiconformal mappings and (b) the application of quasiconformal
mappings to problems in geometric measure theory, particularly to
variational problems (e.g., minimal surfaces) and to questions
concerning the symmetry of frctal sets. A second topic of growing
interest to him is the relation between the theory of quasiconformal
mappings and the theory of invariant differential operators on
hyperbolic n-space.
-
Haskell Rosenthal
(rosenthl@math.utexas.edu):
Research interests include Theory of Banach spaces and functional analysis
including Banach space properties of operator spaces and operator
algebras, invariant subspaces for certain classes of operators, existencer
of certain conditional basic sequences in arbitrary non-reflexive Banach
spaces, and complemented subspaces of C[0,1].
-
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.
-
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.
-
Jeffrey Vaaler
(vaaler@math.utexas.edu):
Research interests include Analytic Number Theory with a special emphasis
on Diophantine approximations, Diophantine geometry, Beurling-Selberg
functions and effective measures of irreducibility.
-
Mikhail M. Vishik
(vishik@math.utexas.edu):
Research interests include Mathematical Problems of Fluid Dynamics, and
Partial Differential Equations.
Links to Research Groups:
-
Institute for Computational Engineering and Sciences
(ICES)
