Research Areas
The Department of Mathematical Sciences has an internationally recognized research faculty active in the following areas:
Algebra
Rings, modules, groups and their representations; applications to combinatorial designs and cryptology, computational algebra
Analysis
Harmonic analysis, function and operator theory and their interactions; Sobolev inequalities; inequalities involving the Fourier transform; operators on Banach spaces; ordinary and partial differential equations; stochastic differential systems; vortex and climate dynamics with applications to climatic and financial markets
Combinatorics and Geometry
Enumerative and algebraic combinatorics; graph theory; design theory and applications; finite projective planes and their automorphisms; finite geometries, and Euclidean geometry
Cryptology and Information Security (also visit our CCIS website)
Block ciphers, public key cryptography, provable security, group-theoretic cryptography, cryptanalysis, secret sharing, hash functions, secure group communications
Dynamical Systems and Control Theory
Nonlinear dynamical systems, computational topological methods, complex dynamical systems, fractal geometry, mathematical theory of control systems, stability analysis
Foundations of Mathematics
Constructructive mathematics; set theory; higher computability
Mathematical Biology
Medical imaging; computer-aided detection; diagnosis, image-guided therapy and surgery; genomics, proteomics and mathematics in the path from genes to drug design; combinatorics and algorithms in molecular biology and biochemistry; evolutionary trees and algorithms
Probability and Statistics
Time-series analysis and regression modeling; parametric and nonparametric function estimation; weak convergence of stochastic processes; environmental statistics and biostatistics
Mathematics Education
Technology in the classroom, integrated curricula, improving performance for pre-calculus mathematics and in mathematics for engineering students