Applicable Mathematics Research

Applicable Mathematics

Combinatorics

Mark Watkins: Professor Watkins is a combinatorialist who works mainly in graph theory. He has made contributions to the study of connectivity and automorphism groups of graphs. In recent years he has been investigating their relationship to the end structure of infinite, locally finite graphs.
Jack Graver: Professor Graver, who specializes in combinatorics and graph theory, is currently interested in rigidity theory and symmetry of infinite planar graphs.
Uday Banerjee: Professor Banerjee is interested in the analysis of numerical methods to approximate solutions, eigenvalues and eigenvectors of elliptic PDEs. Presently, he is studying various aspects of Meshless Methods and Generalized Finite Element Methods. His interests also include elliptic PDEs with nonsmooth coefficients.
Adam Lutoborski: Professor Lutoborski studies weak convergence methods in nonlinear variational problems. In particular, he is interested in homogenization methods and microstructure in nonlinear elasticity.
Lixin Shen: Professor Shen is interested in applied and computational harmonic analysis. He is currently using wavelets analysis for digital image processing.
Yuesheng Xu: Professor Xu's research interest includes computational mathematics, wavelet analysis, signal processing and image processing. In particular, he is interested in fast multiscale solutions of differential equations and integral equations.
J. Theodore Cox: Professor Cox studies interacting particle systems which are mathematical models of random processes of large systems of interacting components. Many such models arise in physics, biology and mathematical ecology.
Philip Griffin: Professor Griffin studies problems related to Brownian motion and Random Walks. More recently, his interests have included the application of probabilistic methods to mathematical finance.
Terry McConnell: Professor McConnell applies the probabilistic tool of martingales to the study of geometry in infinite dimensional spaces, potential theory, analytic functions and Fourier series while investigating the resulting interactions.
Pinyuen Chen: Professor Chen works in ranking and selection theory. His current research interests include statistical selection with applications in radar signal processing and two-stage procedures for multinomial problems.
Edward J. Dudewicz: Professor Dudewicz studies statistical theory and methods including discriminant analysis, selection theory and statistical computing, statistical graphics, consulting, simulation and random number generation.
Hyune-Ju Kim: Professor Kim works on change-point problems, sequential analysis, longitudinal analysis, neural networks in statistical applications and applied probability.

Applicable Mathematics

Combinatorics

Numerical Mathematics

Probability

Statistics