Department of Mathematics

Research

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

Webpage

Oksana Bhun, Ph.D.

Oksana Bhun, 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

Webpage

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

Webpage

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

Webpage

Sarbarish Chakravarty, Ph.D.

Sarbarish Chakravarty, Ph.D.

General Area of Expertise: Differential Equations & Applied Math

Webpage

Zak Mesyan, Ph.D.

Zak Mesyan, Ph.D.

General Area of Expertise: Algebra

Specific Research Topics:

  • Rings
  • Groups
  • Semigroups
  • Linear Algebra

Webpage

Greg Morrow, Ph.D.

Greg Morrow, Ph.D.

General Area of Expertise: Probability & Statistics

Specific Research Topics:

  • Percolation Theory
  • Large Deviations

Webpage

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

Webpage

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

Webpage

K.M. Rangaswamy, Ph.D.

K.M. Rangaswamy, Ph.D.

General Area of Expertise: Algebra

Specific Research Topics:

  • Abelian Groups
  • Associative Rings and modules

Webpage

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

Webpage

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

Webpage

 
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