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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
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