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 See http://www.math.wsu.edu/faculty/ddeford/Research_topics.php 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

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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 (Chair) 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/welcome.php 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