^{COLLEGE OF ARTS AND SCIENCES }
_{Department of Mathematics and Statistics}
Number Theory and Combinatorics
Number theory research in our department predominantly uses an Analytic perspective, with an emphasis on modular forms and Lfunctions. There is also overlap with work in combinatorial number theory, including multidimensional recurrence relations. Much of the combinatorial research we carry out is related to graph theory and discrete geometry, with particular emphasis on problems in spectral graph theory, random walks on graphs, random graph models, and related enumerative constructions. This research group also incorporates the analysis of discrete algorithms, including probabilistic approaches.
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 
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 jsimplex bounded by the unit dcube, and random walks on graphs. Pure Mathematics Number Theory and Combinatorics 

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 
Secure Authenticated Key Exchange Prime Proof Protocol 
ShengChi Liu
http://www.math.wsu.edu/faculty/scliu/ shengchi.liu@wsu.edu Neill 207 Analytic number theory, especially on Lfunctions and analytic theory of automorphic forms on GL(n). Pure Mathematics Number Theory and Combinatorics 
The L^2 restriction norm of a Maass form on SL_{n+1}(Z) RankinSelberg Lfunctions and the reduction of CM elliptic curves 