The Department of Mathematics is youngand ambitious. The department has 24 full-time faculty members and all hold doctorate degrees and 2 instructors (M.S. in Math.). The principal goal of the Department is to help students become critical thinkers and problem solvers. There is mathematics major at the American University of Sharjah. For further information, please send an email to Dr. Mahmoud Anabtawi  (manabtawi@aus.edu) . The research interest of the Department is in the areas of :

Algebra: Commutative rings, Chained rings, Prufer rings, Dedekind rings, Pseudo-valuation rings, Phi-commutative rings, Pi-regular rings, Zero-divisor graphs of a ring, Total graphs of a ring,  Vertex Operator Algebras, and Conformal Field Theory.

Applied Mathematics :Stochastic Partial Differential Equations, Stochastic Hybrid Systems under External noise and Markovian Perturbations, Stochastic Controlled Systems and Quantitative Properties, Fluid Dynamics under Markovian Structural Perturbations. Stochastic P.D.E and OD.E, PDE-based image processing, Control Theory, Structural Control: Optimal Control of Distributed Parameter Systems, Simultaneous Design and/or Control of Composite Structures, Time Delay Systems, Structural Optimization, Active Control of Smart Structures, Financial Mathematics, Fluid Dynamics and Computational methods,   Elasticity, Continuum Mechanics, Mathematical Modelling, Structural Optimization, Calculus of Variation, Numerical Optimization, Optimal Control, Numerical Techniques for PDE and ODE, Mathematical Physics.

Coding Theory: Error correcting coding - cyclic codes, turbo codes, convolutional codes.

Discrete Mathematics.

Functional Analysis: Weighted composition operators, composition operators, operator theory

Graph Theory.

Numerical Analysis: Stability of Numerical Methods for O.D.Es. ,Inverse Problem for P.D.Es, Numerical and Statistical Applied Problems.

Real & Complex analysis : Geometric Theory of Functions of One Complex Variable, Theory of Minimal Surfaces, Geometric function theory, Univalent functions, and Harmonic univalent functions, Quasiconformal mappings, Teichmuller theory, Conformal Field Theory, Entire functions, Dirichlet series,  and Complete exponential systems in Banach Spaces..

Probability and Statistics: Functional Data Analysis (FDA), Nonlinear Regression estimation and Curvature Measures,  Parametric Sensitivity Analysis in Nonlinear and Multi response Regression Models,  Measure-Valued Processes, Stochastic Processes and their Applications, and Theoretical Statistics, in particular, Density estimation.