Research Strengths

Modeling and understand the complexity of living organisms at both individual and population levels. WSU faculty research includes drug delivery, virus and cell dynamics, neural systems, foraging, forest modeling, and infectious disease dynamics.

An unending source of interest, WSU faculty are working on difficult problems using both mathematics and computation. Current focus areas are fluid dynamics at small scales, flows in complex environments, active motion and self-organization, solid-fluid interfaces, and porous media.

The collective science of processing and analyzing data for the purpose of knowledge discovery. WSU faculty have interests in optimization on graphs and discrete structures, Blackbox and Derivative-Free methods, applications in data and image analysis and ill-posed inverse problems.

A comparatively recent area of research, faculty in the department are finding optimal portfolio with a manageable risk, and designing new financial products and setting attractive prices for these productions.

Bayesian modeling, inference, and computing. Particular interests include non-parametric Bayesian inference, predictive classification, Bayesian clustering, scalable algorithm for high-dimensional data.

A branch of statistics that develops and applies statistical methodologies to topics in biology, including medical and pharmaceutical science, agriculture and agronomy, and wildlife management and protection. WSU faculty research focuses on genomics and bio-informatics.

Encompassing statistics, mathematics, machine learning, computer science, and other fields that rely on data processing and analysis.

Current areas of research at WSU include political redistricting and gerrymandering, analysis of social media data with network models, economic data concerning world trade and market pricing, and genomics and bio-informatics applications studies.

A branch of mathematics that studies the likelihood of an event. Department faculty are working on multivariate regular/rapid variation, extreme value theory, concentration of measure and limiting laws under dependence, and stochastic differential equations with applications in mathematical biology, physics, and finance.

Linear algebra, matrix analysis, especially the theory of nonnegative matrices and their generalizations. Research interests with in the department include the numerical range; graphs associated with matrices; matrix patterns over rings and finite fields; numerical linear algebra; applications in dynamical systems, data analysis and machine learning.

Branches of mathematical sciences connecting theoretical and applied mathematics. WSU faculty are focused on harmonic analysis and theoretical analysis of PDEs with applications in fluid mechanics, porous media, finance, life sciences and mathematical physics.

Researchers in the department predominantly use an analytic perspective, with an emphasis on modular forms and L-functions and an overlap with combinatorial number theory and multi-dimensional recurrence relations. WSU faculty are working on graph theory and discrete geometry, with particular emphasis on problems in spectral graph theory, random walks on graphs, random graph models, and related enumerative constructions.

Faculty researchers are investigating geometric analysis and its applications, applied and computational algebraic topology, geometry of probability and data, use of variational/optimization techniques and computations, and applications of all these to real-world, complex data and machine learning tasks.