Analysis@UT-Austin
Analysis is a lively and increasingly broad center of research in
Mathematics at the University of Texas at Austin. Our work covers all
principal areas of classical and modern analysis including
analytic number theory, complex analysis,
differential geometry, dynamical systems, functional analysis,
harmonic analysis, mathematical physics, numerical analysis,
partial differential equations, probability and stochastic processes,
and it has substantial
interaction and overlap with areas of Applied Mathematics, Mathematical
Biology and Scientific Computing. A number of
faculty are associated with the Institute for
Computational Engineering and Sciences.
Research Faculty
-
Todd Arbogast - Numerical Analysis and Partial Differential
Equations
- Klaus Bichteler - Probability
- Tomas Chen - Mathematical Physics
- Kathy Davis - Harmonic Analysis; Biomedical Signal Analysis
- Rafael de la Llave - Mathematical Physics and Dynamical Systems
- Bjorn Engquist - Applied and Computational Mathematics; Numerical
Analysis; Scientific Computing
- Irene Gamba - Applied Mathematics; Partial Differential
Equations
- John Gilbert - Harmonic Analysis and Functional Analysis
- Oscar Gonzalez - Mathematical Biology
- Daniel Knopf - Geometric Analysis, Differential Geometry and Geometric
PDE
- Hans Koch - Mathematical Physics and Statistical Mechanics
- Ted Odell - Functional Analysis
- Tinsley Oden - Numerical Computation and Partial Differential Equations
- Kui Ren - Numerical Analysis, PDE
- Lorenzo Sadun -
Mathematical Physics, Differential Geometry and Analysis
- Mihai Sirbu - Financial Mathematics
- Richard Tsai - Applied Mathematics
-
Karen Uhlenbeck - Nonlinear Analysis, Differential Geometry and
Dynamical Systems
- Jeff Vaaler - Harmonic Analysis and Analytic Number Theory
- Alexis Vasseur - Partial Differential Equations
- Misha Vishik - Partial
Differential Equations, Fluid Dynamics
- Mary Wheeler - Numerical Analysis and Partial Differential Equations
- Lexing Ying - Applied Mathematics; Scientific Computing
- Thaleia Zariphopoulou - Applied Mathematics;
Mathematics of Finance; Stochastic Control
Theory
- Gordan Zitkovic - Mathematical Finance and Probability
Associate Research Faculty
- Pierre-Louis Lions - Applied Mathematics; Nonlinear Partial
Differential Equations; Stochastic PDE; Fluid Dynamics; Mathematical
Finance; Scientific Computing
Post-Doctoral Faculty
- Clayton Bjorland - PDE, Fluid Dynamics
- Yingda Cheng - Applied Mathematics, PDE, Numerical Analysis
- Maria Pia Gualdani - PDE, Applied Mathematics
- Stephanie Somersille - PDE, Game Theory and
Probability
- Ravi Srinivasan - PDE, Applied Mathematics, Probability and Stochastic Processes
Research Seminars
- Analysis - Wednesday at 1pm in RLM 10.176
- ICES - Tuesday
at 3:30pm, Thursday at 3:30pm in ACES 6.304
For this week's seminars, see the Mathematics Department Calendar.
Graduate Program
Our Ph.D. program in Analysis does not require any specific course work, but
we encourage students to take both the Analysis and Applied Mathematics prelim
course sequences and exams as preparation for candidacy.
- M381C - Real Analysis [Souganidis - Fall 06, Beckner - Fall 05]
- M381D - Complex Analysis [Petermichl - Spring 07]
- M383C - Methods of Applied Mathematics [Engquist - Fall 06]
- M383D - Methods of Applied Mathematics [Arbogast - Spring 07]
We have a core sequence of mid-level graduate courses that allow
students to achieve a broad foundation in Analysis.
- Methods of Real Analysis [Caffarelli - Fall 06, Souganidis - Fall 05]
- Partial Differential Equations [Vasseur - Fall 06]
- Harmonic Analysis [Beckner - Fall 06]
- Numerical Analysis
- Theory of Probability [Zitkovic - Fall 06, de la Llave - Spring 06]
- Stochastic Processes and Applications [Zariphopoulou - Fall 06]
A wide variety of advanced courses are offered.
Descriptions of current courses
are located under the Graduate Program web page.
Web page links: Mathematics Department;
ICES;
Comments to beckner@math.utexas.edu
last updated 2011-01-04