Department of Mathematics



Faculty Research Interests
       
  Name General Area of Expertise More Specific Research Topics
 
Gene Abrams
Algebra
- Associative rings and modules
- Leavitt algebras and connections to C*-algebras
- Graded algebras
- Equivalences between module categories
- Rings with local units
 
Bob Carlson
Analysis & Differential Equations
- Mathematical modeling involving differential equations
- Pattern recognition and pattern matching algorithms
- Computer vision
- Computational mathematics
 
Radu Cascaval
Applied Analysis & Computational Mathematics
- Spectral theory of integrable systems
- Nonlinear PDEs and fluid mechanics
- Applications in optical communications, physiology & medicine
 
Sarbarish Chakravarty
Differential Equations  & Applied Math
 
 
Jim Daly
Harmonic Analysis
-Applications to statistics and signal/image processing
 
Greg Morrow
Probability and Statistics
- Statistics of Optical Communication Systems
- Theory of Large Deviations
- Mathematical Population Genetics
 
Keith Phillips
Harmonic Analysis
- Computer Vision
- Optimization
 
K.M. Rangaswamy
Algebra
-Abelian Groups
-Associative Rings and modules
 
Rinaldo Schinazi
Probability and Statistics
- Probability models in population biology and epidemiology
- Interacting particle systems
 
Seung Son
Number Theory
- Ramanujan's theory
- Special functions
- Continued fractions
- Modular equations
- q-series
- Partition functions
 
Yu Zhang
Probability and Statistics
-Mathematical Physics and Biological Models Including Percolation Theory, First Passage Percolation, Infinite Particle Systems and Random Graphs
-General Probability Theory Including the Central Limit Theorem by Martingale Approaches