COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Pure Mathematics

The mathematician Bertrand Russell is reputed to have said: 'The pure mathematician, like the musician, is a free creator of his world of ordered beauty.' Pure mathematics is a study of math for its own sake; to find beautiful truths independently of applications. Yet in spite of that, pure math never can entirely avoid being useful. Areas of pure math include number theory, topology, real and complex analysis, graph theory, and algebra.

Daryl DeFord

http://www.math.wsu.edu/faculty/ddeford/
daryl.deford@wsu.edu
Neill 328
My research focuses on applications of combinatorial and algebraic methods to the analysis of social data including political redistricting and social network analysis. Recent projects include the following with more details on Applied Mathematics
Statistics and Probability
Pure Mathematics
Data Analytics
Probability and Stochastic Processes
Number Theory and Combinatorics
Sample Publications
Maximum a Posteriori Inference of Random Dot Product Graphs via Conic Programming
ReCombination: A family of Markov Chains for Redistricting

Matthew Hudelson

http://www.sci.wsu.edu/math/faculty/hudelson/
mhudelson@wsu.edu
Neill 330
Probabilistic approaches to geometric and combinatorial problems, methods for maximizing content of a j-simplex bounded by the unit d-cube, and random walks on graphs.
Pure Mathematics
Number Theory and Combinatorics
Sample Publications

Alex Khapalov

http://www.math.wsu.edu/math/faculty/khapala/
khapala@wsu.edu
Neill 307
Analysis of swimming models, described by the coupled fluid and (integro-) ordinary differential equations, and their motion capabilities from the viewpoint of controllability theory. Controllability of linear and nonlinear partial differential equations, governed by multiplicative (bilinear) controls. Smart materials, point sensors and actuators, including mobile ones.
Applied Mathematics
Pure Mathematics
Fluid and Solid Mechanics
Analysis and PDEs
Sample Publications
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Haijun Li

http://www.math.wsu.edu/math/faculty/lih/
liklu@wsu.edu
Neill 317
Copula Theory for Multivariate Extremes, Risk and Choquet Capacities, Free Probability under Group-Invariance
Statistics and Probability
Pure Mathematics
Mathematical Finance
Probability and Stochastic Processes
Sample Publications
Tail dependence functions and vine copulas
Orthant tail dependence of multivariate extreme value distributions

Sheng-Chi Liu

http://www.math.wsu.edu/faculty/scliu/
shengchi.liu@wsu.edu
Neill 207
Analytic number theory, especially on L-functions and analytic theory of automorphic forms on GL(n).
Pure Mathematics
Number Theory and Combinatorics
Sample Publications
The L^2 restriction norm of a Maass form on SL_{n+1}(Z)
Rankin-Selberg L-functions and the reduction of CM elliptic curves

Judith McDonald

http://www.math.wsu.edu/math/faculty/jmcdonald/
jmcdonald1@wsu.edu
Neill 323
Eventually nonnegative matrices, nonnegative matrices, M-matrices, inverse eigenvalue problem, spectrally arbitrary patterns.
Pure Mathematics
Linear Algebra
Sample Publications

Charles Moore

http://www.math.wsu.edu/faculty/cnmoore/
cnmoore@wsu.edu
Neill 115/227
Probabilistic behavior of harmonic functions, free boundary problems, Stefan problems
Pure Mathematics
Analysis and PDEs
Sample Publications
Subgaussian Estimates in Probability and Harmonic Analysis
A lower bound in the law of the iterated logarithm for general lacunary series

Michael Tsatsomeros

http://www.math.wsu.edu/faculty/tsat/
tsat@wsu.edu
Neill 229
Linear algebra, matrix analysis, especially the theory of nonnegative matrices and their generalizations. Particular interests include the numerical range; graphs and patterns associated with matrices; numerical linear algebra; applications in dynamical systems, control theory, data analysis, machine learning and artificial intelligence.
Pure Mathematics
Linear Algebra
Sample Publications
Semipositive Matrices
The Fiber of P-matrices

Kevin Vixie

http://geometricanalysis.org
kvixie@wsu.edu
Neill 203
Examples of research projects past and present: sparse dynamic tomography, the development of image metrics which ignore unimportant differences, the sharp characterization of minimizers to variational functionals like the L1TV and ROF functionals, the flat norm for images and shapes, analysis and geometric measure theory in metric spaces, and the propagation of uncertainty through image analysis.
Pure Mathematics
Optimization and Data Analytics
Data Analytics
Analysis and PDEs
Geometry and Topology
Sample Publications

Hong-Ming Yin

http://www.math.wsu.edu/math/faculty/hyin/
hyin@wsu.edu
Neill 303
Partial Differential Equations and Applications; Mathematical Modeling and Analysis in Life Sciences; Financial Engineering and Portfolio Management.
Applied Mathematics
Pure Mathematics
Mathematical Biology
Optimization and Data Analytics
Mathematical Finance
Analysis and PDEs
Sample Publications
Infectious disease modeling and analysis
Reaction-Diffusion system
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