Mathematics

  • research

    Research

Research

Research is an integral part of faculty activity in the CSUN Department of Mathematics. Some of our faculty have or have had NSF, NSA, and ONR support. Recent grants that have been have been awarded include: Maria-Rita D'Orsogna, Hierarchical kinetic models for chemically and hydrodynamically coupled organisms (2010-2013, $106,191, NSF), and Scalable, Stochastic and Spatiotemporal Game Theory for Real-World Human Adversarial Behavior (2011-2016, $571,625, ARO); Al Sethuraman, Problems in Varieties of Commuting Matrices, Jet Schemes, and Division Algebras, ($121,031, NSF).

Current areas of active research are listed below, along with links to faculty web pages.

Bernardo Abrego
Combinatorics (05), main subarea: Graph Theory (05C); Convex and Discrete Geometry (52), main subarea: Discrete Geometry (52C); Computer Science (68), main subarea: Discrete mathematics in relation to computer science (68R)

Alexander Alekseenko
Numerical relativity, Numerical partial differential equations, Discontinuous Galerkin methods, Domain decomposition for IBVPs, Well-posed IBVP formulations for systems with differential constraints

Jorge Balbás
Numerical analysis, scientific computing, non-linear conservation laws

Alberto Candel
Geometry, Dynamical Systems, Low Dimensional Topology

Rabia Djellouli
Mathematical and Numerical Aspects of Wave Propagation Phenomena (Scattering & Guidance), System Identification and Finite Element Model Updating, Biomathematics,and Biomedical engineering

Maria-Rita D'Orsogna
Many particle systems, mathematical modeling of biological systems, spatio temporal crime patterns

Silvia Fernandez
Combinatorics (05), main subarea: Graph Theory (05C); Convex and Discrete Geometry (52), main subarea: Discrete Geometry (52C); Computer Science (68), main subarea: Discrete mathematics in relation to computer science (68R)

Lorraine Foster
Exponential Diophantine equations, Symmetry groups and Geometry

Terry Fuller
4-dimensional manifolds, Contact Topology, Mapping Class Groups

Werner Horn
Applied Mathematics and Partial Differential Equations

David Klein
Mathematical Physics, General Relativity & Cosmology, Statistical Mechanics, History of Mathematics Education

Elena Marchisotto
Geometry (algebraic, elementary, inversive, projective); Foundations of Geometry; History of Mathematics: Mario Pieri (1860-1913); Integration of technology into teaching

Michael Neubauer
Linear algebra, combinatorial matrix theory, apportionment theory

M. Helena Noronha
Differential Geometry: Riemannian and Submanifold Geometry

Vladislav Panferov
Partial differential equations, kinetic theory, applied mathematics

Jacek Polewczak
Mathematical problems in the kinetic theory of gases, Statistical mechanics of fluids, Chemically reacting fluids

David Protas
Complex Analysis, with emphasis on Hardy spaces, Blaschke products, and the Dirichlet integral  

Jerry Rosen
Non-commutative Ring Theory

B. Al Sethuraman
Algebra, Algebraic geometry, Application of algebra to coding.

Carol Shubin
Differential Equations, Inverse spectral theory, Mathematical Physics

Chad Sprouse
Riemannian Geometry, Geometric Analysis

Kate Stevenson
Algebraic Geometry, Algebra and Group Theory

Csaba D. Tóth
Combinatorics, Graph Theory, Discrete and Computational Geometry, Theoretical Computer Science

William Watkins
Linear and multilinear algebra, inequalitites, combinatorial matrix theory

Ali Zakeri
Numerical Analysis, Partial Differential Equations, Computational Fluid Dynamics, Shock Waves, Approximation Theory, and Applied Mathematics