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
Sample Publications
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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
Sample Publications
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 & Evidence-based Experiential learning
Applied Mathematics
Mathematics Education
Mathematical Biology
Fluid and Solid Mechanics
Data Analytics
Linear Algebra
Analysis and PDEs
Sample Publications
Modeling the Spread of COVID-19 in Enclosed Spaces
Analysis of a population model with advection and an autocatalytic-type growth

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

Xueying/Snow Wang

http://www.math.wsu.edu/faculty/xueying/
xueying.wang@wsu.edu
Neill 417
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
Sample Publications
A reaction-advection-diffusion 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
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
Mathematical Biology
Mathematical Finance
Probability and Stochastic Processes
Analysis and PDEs
Sample Publications
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