My research interest lies in the intersection of Commutative Algebra, Computational Algebra and Combinatorics

Coding theory, applied algebra

Functional Analysis, Operator Theory, Linear Dynamics, Complex Analysis

Finite fields, algebraic curves over finite fields, coding theory, cryptography

orthogonal polynomials, approximation theory.

Computational Number Theory, Arithmetic of Elliptic Curves, Arithmetic of Hyperelliptic Curves, Diophantine Equations, Arithmetic Dynamical Systems

mathematical analysis of nonlinear partial differential equations, nonlinear dispersive and hyperbolic waves, water waves, stability of solitary waves, fractional differential equations.

Applied probability, statistics, stochastic processes, optimal stopping, stochastic optimal control with applications in finance and engineering

Several Complex Variables, Holomorphic Dynamics and Complex Geometry

Partial differential equations;pseudo-differential operators; functional analysis.

Uniformly distributed sequences; finite fields and applications; pseudo random numbers.