Research Interests

Research Interests

Gene Abrams, Ph.D.

Gene Abrams (Professor)

General Area of Expertise: Algebra

Specific Research Topics:

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

Peter Braza (Professor)

General Area of Expertise: Applied Mathematics

Specific Research Topics:

  • Population dynamics
  • Physical applied mathematics
Radu Cascaval

Radu Cascaval (Associate Professor)

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 (Professor)

General Area of Expertise: Differential Equations & Applied Math

Justin Cole (Assistant Professor)

General Area of Expertise: Applied Mathematics & Nonlinear Waves

Specific Research Topics:

  • Modeling of wave phenomena in dispersive media
  • Solitons
  • Asymptotic and perturbative approximations
  • Inverse scattering transform
  • Numerical solution of ordinary and partial differential equations
Zak Mesyan, Ph.D.

Zachary Mesyan (Professor)

General Area of Expertise: Algebra

Specific Research Topics:

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

Greg Morrow (Professor)

General Area of Expertise: Probability & Statistics

Specific Research Topics:

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

Greg Oman (Associate Professor)

General Area of Expertise: Algebra & Logic

Specific Research Topics:

  • Ring theory
  • Abelian group theory
  • Set theory
  • Semigroup theory
  • Problem posing
Rinaldo Schinazi, Ph.D.

Rinaldo Schinazi (Professor)

General Area of Expertise: Probability & Statistics

Specific Research Topics:

  • Probability models in population biology and epidemiology
  • Interacting particle systems
Silantyev_Denis_1

Denis Silantyev (Assistant Professor)

General Area of Expertise: Computational Mathematics & Nonlinear Waves

Specific Research Topics:

  • Nonlinear wave dynamics, instabilities and collapses in optics, plasma and hydrodynamics
  • Laser-plasma interaction, laser fusion
  • Plasma kinetics and rarefied gas dynamics
  • Numerical methods for ODEs/PDEs including spectral methods, adaptive and nonuniform grids
  • Scientific computing, high-performance computing (HPC), multi-precision computations

General Area of Expertise: Functional Analysis and Operator Algebras

Specific Research Topics:

  • C*-algebras and K-theory
  • Graph C*-algebras and Leavitt path algebras
  • Rings, modules, and Morita equivalence
  • Interactions of algebra and analysis

 

Yu Zhang, Ph.D.

Yu Zhang (Professor)

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

Emeriti Faculty

Robert Carlson, Ph.D.

Robert Carlson (Professor Emeritus)

General Area of Expertise: Analysis & Differential Equations

Specific Research Topics:

  • Analysis on graphs
  • Spectral theory for quantum graphs

James Daly (Professor Emeritus)

General Area of Expertise: Harmonic Analysis

Specific Research Topics:

  • Singular integral operators
  • Multiplier operators
  • Fourier and Walsh series
  • Dyadic analysis
K.M. Rangaswamy, Ph.D.

K.M. Rangaswamy (Professor Emeritus)

General Area of Expertise: Algebra

Specific Research Topics:

  • Abelian groups
  • Associative rings and modules