Linear Algebra

Linear algebra, matrix analysis, especially the theory of nonnegative matrices and their generalizations. Particular interests 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.

Anna Johnston

- jannaston@gmail.com - Cryptography/Cryptanalysis, number theoretic transforms relating to coding theory, and understanding the threat/hype/furor of Cryptographically Relevant Quantum Computers (CRQC) on existing algorithms Linear Algebra Number Theory and Combinatorics

Sample Publications Secure Authenticated Key Exchange Prime Proof Protocol

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

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

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