Research Interests

Gene Abrams, Ph.D.

Gene Abrams, Ph.D.

General Area of Expertise: Algebra

Specific Research Topics:

  • Associative rings and modules
  • Leavitt algebras and connections to C*-algebras
  • Morita equivalences between module categories
Oksana Bhun, Ph.D.

Oksana Bihun, Ph.D.

General Area of Expertise: Applied Mathematics & Analysis

Specific Research Topics:

  • Mathematical physics
  • Integrable dynamical systems
  • N-body problems
  • Orthogonal polynomials and special functions
  • Spectral (numerical) methods for solving differential equations
Robert Carlson, Ph.D.

Robert Carlson, Ph.D.

General Area of Expertise: Analysis & Differential Equations

Specific Research Topics:

  • Analysis on graphs
  • Spectral theory for quantum graphs
Radu Cascaval

Radu Cascaval, Ph.D.

General Area of Expertise: Applied Analysis & Computational Mathematics

Specific Research Topics:

  • Spectral theory of integrable systems
  • Nonlinear PDEs and fluid mechanics
  • Applications in optical communications, physiology & medicine
Sarbarish Chakravarty, Ph.D.

Sarbarish Chakravarty, Ph.D.

General Area of Expertise: Differential Equations & Applied Math

James Daly, Ph.D.

James Daly, Ph.D.

General Area of Expertise: Harmonic Analysis

Specific Research Topics:

  • Singular integral operators
  • Multiplier operators
  • Fourier and Walsh series
  • Dyadic analysis
Zak Mesyan, Ph.D.

Zachary Mesyan, Ph.D.

General Area of Expertise: Algebra

Specific Research Topics:

  • Rings
  • Groups
  • Semigroups
  • Linear algebra
Greg Morrow, Ph.D.

Greg Morrow, Ph.D.

General Area of Expertise: Probability & Statistics

Specific Research Topics:

  • Percolation theory
  • Large deviations
Greg Oman, Ph.D.

Greg Oman, Ph.D.

General Area of Expertise: Algebra and Logic

Specific Research Topics:

  • Ring theory
  • Abelian group theory
  • Set theory
  • Semigroup theory
  • Problem posing
Barbara Prinari, Ph.D.

Barbara Prinari, Ph.D.

General Area of Expertise: Non-Linear Waves and Coherent Structures

Specific Research Topics:

  • 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
K.M. Rangaswamy, Ph.D.

K.M. Rangaswamy, Ph.D.

General Area of Expertise: Algebra

Specific Research Topics:

  • Abelian groups
  • Associative rings and modules
Rinaldo Schinazi, Ph.D.

Rinaldo Schinazi, Ph.D.

General Area of Expertise: Probability & Statistics

Specific Research Topics:

  • Probability models in population biology and epidemiology
  • Interacting particle systems
Yu Zhang, Ph.D.

Yu Zhang, Ph.D.

General Area of Expertise: Probability & Statistics

Specific Research Topics:

  • 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