Analysis@UTAustin
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
 PierreLouis Lions  Applied Mathematics; Nonlinear Partial
Differential Equations; Stochastic PDE; Fluid Dynamics; Mathematical
Finance; Scientific Computing
PostDoctoral 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 midlevel 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 20110104