+ OPERATIONS RESEARCH, APPLIED OPTIMIZATION & DECISION MAKING:
- Optimal Location/ Allocation Theory on Networks and Space
- ( مکان یابی / تخصیص بهینه روی شبکه و فضاهای کاربردی)
- Combinatorial and Network Optimization
- (بهینه سازی ترکیبیاتی و شبکه ای)
- Discrete Optimization
- (بهینه سازی گسسته)
- Inverse/reverse Optimization
- (بهینه سازی معکوس)
- Improvement Optimization
- (بهینه سازی اصلاحی )
- Knapsack Problems
- (مدلهای بهینه سازی کوله پشتی)
- Fuzzy Linear/ Nonlinear/ Multi-Objective/ Multi-Level Programming Problems
- ( برنامه ریزی /خطی /غیر خطی/ چند هدفی/چند سطحي فازی)
- Uncertain Optimization
- (بهینه سازی غیر قطعی )
- Engineering Optimization
- ( بهینه سازی مهندسی )
- Metaheuristic and Hyperheuristic Algorithms
- (الگوریتم های فراابتکاری و هایپرهیورستیک)
- Design of Industrial Systems
- ( طراحی سیستم های صنعتی)
- Scientfic and Soft Computing
- محاسبات علمی و نرم

Differential equations, Inverse problems, Matrix Linear Operators and relevant spectral theory, Inverse eigenvalue problems

Amorphous Semiconductors
Solar Cells

Functional Equations and Inequalities,
Fixed Point Theory,
Nonlinear Optimization,
Variational Analysis,
Frame Theory, Wavelet Analysis

Finctional Analysis, Geometry of Banach spaces, Variational Analysis, Fuzzy Analysis

Linear & Multilinear Algebra
Representation Theory of Finite Groups
Group Theory and Graph Theory
Symmetry Classes of Tensors
Decomposable Numerical Range
Symmetry Classes of Polynomials
Probabilistic Group Theory

Combinatorial Optimization
Network Optimization
Discrete Optimization
Inverse/Reverse Optimization
Design of Algorithms
Uncertain Optimization
Fuzzy Mathematical Programming Models
Engineering Optimization
Meta-Heuristic and Hyper-Heuristic Algorithms

Numerical Solution of Conservation Laws
Wave Propagation in Heterogeneous Media
Numerical Solution of Differential and Integral Equations
Methods: IMEX, WENO, Spectral, Collocation and Radial Basis Functions

‎Numerical solutions of of hyperbolic and parabolic PDEs using:
-- Finite difference weighted essentially non-oscillatory (WENO) methods
-- Finite element discontinuous Galerkin methods
-- Spectral methods
Computational fluid dynamics
Numerical methods for option pricing
Optimal control of time-delay nonlinear systems

ODE, Inverse eigenvalue problems, Isospectral systems, Application of Lie group method in differential equations

+ Numerical Solution of Fractional Differential Equations(Numerical Solvability and Convergence analysis)
+ Numerical Solution of Integral Equations with Smooth and Weakly Singular Kernels (Numerical Solvability and Convergence analysis)
+ Numerical Solution of Differential Algebraic Equations
+ Numerical Solution of Delay Differential Equations
+Spectral Methods(Tau, Collocation, Pseudospectral and Galerkin Methods)
+ Splines

physical properties of Nanostructures such as quantum wires and quantum dots

Numerical Solution of Partial Differential Equations
Meshless Methods

Functional Analysis , Operator Algebras , K- Theory

Astroparticle Physics
Particle Detectors
Philosophy of Quantum Mechanics

Electron Momentum Spectroscopy,
Electronic structure of molecules and solids