Faculty
Maya Chhetri
My research interest is in studying the solutions of nonlinear elliptic PDEs and ODEs.
In particular, I study the questions of existence, uniqueness and multiplicity of solutions of nonlinear boundary value problems
in ODEs and elliptic PDEs, and stability of solutions of corresponding evolution equations.
Richard Fabiano
I am interested in questions related to modeling, control, and approximation
of infinite dimensional linear systems. In particular I study systems
governed by either delay-differential equations or partial differential
equations which arise in modeling flexible structures. The mathematics we use
includes functional analysis, differential equations, and control theory.
Jan Rychtář
I am interested in applications of mathematics in a wide range of
fields. I have collaborated with researchers from biology, sociology
and computer science. My work consists in building and analyzing a
mathematical model of a phenomena of particular interest of the
researcher. The mathematics involved ranges from game theory, ODEs,
probability and stochastic processes and graph theory.
Ratnasingham Shivaji
Study of nonnegative solutions to partial differential equations,
arising in the modeling of natural phenomena that is dominated by reaction
and diffusion. Recent results focus on singular problems, problems with
nonlinear diffusion and effects of nonlinear boundary conditions.
Clifford Smyth
I am interested in computerized simulation of several mathematical and biological processes: to find patterns and prove them.
I work on analyzing the effect of vector/host affinity on disease spread.
Several unexpected phenomena have appeared in our simulations, including a number of places where smooth variation in parameters produce dramatic changes in the model's behavior.
My modeling work in discrete mathematics has led to a number of conjectures in combinatorial probability.
Graduate Students
- Abraham Abebe
- Dagny Grillis Butler (Mississippi State University)
- John Hardee
