Mathematics

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    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.

Ali Al-Sharadqah
Statistics, Measurement Errors models, geometric estimation. Computational projective geometry and its applications on the computer vision applications: fundamental matrix and homography computations and rotation matrix estimation.

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

Abrego Bernardo
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).

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

Stephen Breen
My research interest is in Probability and Applications to Algorithms, Fluid Dynamics, Mathematical Physics.

Alberto Candel
Geometry, Dynamical Systems, Low Dimensional Topology.

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

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

John Dye
My research interest is in Probability and Applications to Algorithms, Fluid Dynamics, Mathematical Physics.

Kellie Evans
My research interest is in Cellular Automata, Experimental Mathematics.

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)

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

Xiaolong Han
Analysis (microlocal, semiclassical, harmonic, geometric, etc.) and its applications to partial differential equations and geometry.

Werner Horn
Applied Mathematics and Partial Differential Equations.

Daniel Katz
My research interest is in Number Theory and Discrete Mathematics, Mostly Concerning Finite Fields, Polynomials, and Character Sums, Often Applicable to Information Theory.

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

Jing Li
My research interest is in mathematical modeling of biological phenomena using such mathematical techniques as differential equations (ODE's, PDE's, and DDE's). Recently I have also been applying techniques from game theory to problems from mathematical epidemiology.

Jason Lo
Algebra geometry - stability conditions and moduli spaces. The interface between algebric geometry and representation theory.

Majid Mojirsheibani
Nonparametric estimation and inference; Probabilistic classification and pattern recognition; Missing data; Bootstrap and other resampling methods.

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

Mark Schilling
My research interest is in Mathematical Statistics, Probability.

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

Yannan Shen
Applied mathematics, models from physics and engineering, such as optical systems, metamaterials, plasmas and Bose-Einstein condensates. These physical models are described by differential equations such as the nonlinear Schrodinger equation, complex Ginzburg Landau equation, short pulse equation. My research mainly involves existence, stability and dynamics of solitary wave solutions. Methods employed include asymptotics, variational approximations, rigorous analysis, numerical analysis, as well as scientific computing.

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

Ramin Vakilian
My research interest is in math biology, math ecology, infectious diseases, carbon cycle, and chemical physics.

Emmanuel Yomba
Mathematical Physics. Study of Integrability conditions for Nonlinear Partial Differential Equations (NLPDEs), Qualitative Approaches and Construction of Analytical Approaches for Solving NLPDEs and statistical physics, mathematical biology.

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