Name

General Area of Expertise

More Specific Research Topics


Algebra

 Associative rings and modules
 Leavitt algebras and connections to C*algebras
 Morita equivalences between module categories


Analysis & Differential Equations

 Analysis on Graphs
 Spectral theory for quantum graphs


Applied Analysis & Computational Mathematics

 Spectral theory of integrable systems
 Nonlinear PDEs and fluid mechanics
 Applications in optical communications, physiology & medicine


Differential Equations & Applied Math


Zak Mesyan 
Algebra 
 Rings
 Groups
 Semigroups
 Linear Algebra


Probability and Statistics

 Percolation Theory
 Large Deviations


Algebra and Logic

 Ring Theory
 Abelian Group Theory
 Set Theory
 Semigroup Theory
 Problem Posing


Nonlinear waves and Coherent Structures

 inverse scattering transform for continuous and discrete integrable systems
 Solvability for the nonlinear Schrödinger equation
 Solving the initial value problem for nonlinear 2+1 dimensional PDEs with potentials that do not decay at spatial infinity
 Multicomponent nonlinear Schrödinger systems with nonvanishing boundary conditions


Algebra 
 Abelian Groups
 Associative Rings and modules


Probability and Statistics

 Probability models in population biology and epidemiology
 Interacting particle systems


Probability and Statistics

 Mathematical Physics and Biological Models Including Percolation Theory, First Passage Percolation, Infinite Particle Systems and Random Graphs
 General Probability Theory Including the Central Limit Theorem by Martingale Approaches
