^{COLLEGE OF ARTS AND SCIENCES }
_{Department of Mathematics and Statistics}
Analysis and PDEs
Analysis and PDEs cover a large number of branches in mathematical sciences. From real and complex analysis, harmonic analysis, and analysis for ordinary and partial differential equations. It connects theoretical and applied mathematics. Our group focuses on harmonic analysis and theoretical analysis of PDEs with applications in fluid mechanics, porous media, finance, life sciences and mathematical physics.
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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Bala Krishnamoorthy
http://www.math.wsu.edu/faculty/bkrishna/ kbala@wsu.edu Vanc Applied algebraic topology, Geometric measure theory,Mathematical aspects of 3D printing,Discrete and nonlinear optimization,Geometry and topology in physical chemistry,Computational models for surgical and biomedical applications,Computational biology. Applied Mathematics Statistics and Probability Mathematical Biology Optimization and Data Analytics Data Analytics Probability and Stochastic Processes Analysis and PDEs Geometry and Topology 
Optimal homology and linear programming Continuous toolpath planning in 3D printing 
V.S. Manoranjan
http://www.math.wsu.edu/math/faculty/mano/ mano@wsu.edu Neill 231 MATHEMATICAL MODELING – Pattern Formation, Contaminant Transport, Spread of Diseases, Population Models & Solitons;COMPUTATIONAL MATHEMATICS – Finite Element/Finite Difference methods, Spectral methods, Operator Splitting methods, Iterative methods & Machine Learning;MATHEMATICS LEARNING – Interactive online lessons & Evidencebased Experiential learning Applied Mathematics Mathematics Education Mathematical Biology Fluid and Solid Mechanics Data Analytics Linear Algebra Analysis and PDEs 
Modeling the Spread of COVID19 in Enclosed Spaces Analysis of a population model with advection and an autocatalytictype growth 
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 
Subgaussian Estimates in Probability and Harmonic Analysis A lower bound in the law of the iterated logarithm for general lacunary series 
Xueying/Snow Wang
http://www.math.wsu.edu/faculty/xueying/ xueying.wang@wsu.edu Neill 201 Integrating techniques from the fields of dynamical systems, stochastic processes and statistics to develop and analyze mathematical models. Application areas: (a) computational neuroscience; (b) infectious disease modeling; (c) population ecology. Applied Mathematics Statistics and Probability Mathematical Biology Optimization and Data Analytics Probability and Stochastic Processes Analysis and PDEs 
A reactionadvectiondiffusion model of cholera epidemics with seasonality and human behavior change Patterns of synchronization in 2D networks of inhibitory neurons 
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 

HongMing 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 
Infectious disease modeling and analysis ReactionDiffusion system 