Applied and Computational Mathematics deals with analysis, modeling, analytical methods, computational methods, algorithm design, computer calculations, and simulations for problems encountered in engineering, basic sciences, and many other scientific fields.
Theoretical Mathematics examines abstract mathematical structures independently of any application and determines the fundamental principles used in scientific calculations.

The research areas of our department's faculty members are as follows.

Research Areas : Mathematical Finance and Economics, Mathematical Modeling, Numerical Optimization, Stochastic Differential Equations, Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Nonlinear Dynamical Systems, Integral Equations, Applied Mathematics, Partial Differential Equations, High Performance Computing, Computational Behavioral Finance, Numerical Linear Algebra, Numerical Analysis, Data Analysis, Machine Learning, Networking Algorithms, Simulation

Research Areas : Numerical Analysis and Approximate Solutions of Differential Equations, Numerical Solutions of Fractional Differential Equations, Nonlinear Wave Propagation, Continuum Mechanics, Plate Vibration Problems, Damage Mechanics, Image Processing

Research Areas : Commutative and Non-commutative Algebras, Lie Algebras, Symmetric Groups, Finite Groups, Algebras and Their Representations, Category Theory, Homological Algebra, Data Analysis, Statistical Data Science, Optimization, Machine Learning Algorithms, Artificial Intelligence

Research Areas : General Relativity, Gravitation Theories, Gauge Theories, Quantum Groups, String Theory, Supergravity, Quantum Mechanics and Quantum Field Theories

Research Areas : Mathematical Finance and Economics, Mathematical Modeling, Numerical Optimization, Stochastic Differential Equations, Game Theory

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations

Research Areas : Geometry of Weyl Spaces with Special Connections, Riemannian Submersions, Generic Submersions, Almost Complex and Complex Structures on Manifolds, Solutions of Einstein and Einstein-Maxwell Field Equations

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations, Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Biomechanics, Acoustic Problems, Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations, Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Biomechanics, Acoustic Problems, Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics

Research Areas : Fundamental Solutions, Functional Analysis, Applied Analysis

Research Areas : Mathematical Modeling, Dynamical Systems, Deep Learning, Artificial Neural Networks

Research Areas : Artificial Intelligence Modeling, Machine Learning, Deep Learning, Neural Networks, Numerical Methods, Data Modeling, Medical Modeling, Economic Modeling, Nonlinear Behaviors, Computational Differential Equations

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations, Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Biomechanics, Acoustic Problems, Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry, Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations

Research Areas : Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics, Numerical Analysis, Approximate Solutions of Nonlinear Differential Equations, Nonlinear Partial Differential Equations and Their Approximate Solutions, Nonlinear Wave Propagation, Perturbation Methods, Deep Learning

Research Areas : Geometric Function Theory and Applications, Univalent Functions, Analytic Functions, Subordination Principle, Harmonic Transformations, Log-Harmonic Transformations, Differential Subordination, Nonlinear Analysis, Modeling Theory, Fractional Integro-Differential Equations, Hilfer Derivative, Approximation Theory, Fixed Point Theory

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations, Epidemic Modeling, Estimation of Epidemic Parameters

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Asymptotic Analysis, Perturbation Methods, Nonlinear Partial Differential Equations, Nonlinear Dynamical Systems, Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Mathematical Epidemiology, Estimation of Epidemic Parameters, Decision-Making Dynamics, Dispersive Shock Waves

Research Areas : Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Biomechanics, Acoustic Problems, Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics

Research Areas : Image Processing: Enhancement, Filtering, Edge Detection etc., Computational Sciences, Biomedical, Data Science, Machine Learning Algorithms, Artificial Intelligence, Mathematical Modeling, Deep Learning, Neural Networks, Numerical Methods

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations

Research Areas : Commutative and Non-commutative Algebras, Lie Algebras, Symmetric Groups, Finite Groups, Algebras and Their Representations, Category Theory, Homological Algebra

Research Areas : Riemannian Geometry, Weyl Spaces, Space and Semi-Symmetric Forms, Submanifold Theory, Kaehler Manifolds, Locally Conformal Manifolds, Discrete Geometry, Computational Geometry and Topology, Geometric Measure Theory, Fractal Geometry

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Epidemic Modeling, Estimation of Epidemic Parameters, Computational Fluid Dynamics, Continuum Mechanics, Mathematical Modeling, Pattern Formation, Phase Transitions

Research Areas : Numerical Analysis, Numerical Solutions of Fractional Differential Equations, Continuum Mechanics, Plate Vibration Problems, Mathematical Modeling

Research Areas : Nonparametric Statistics, Multivariate Statistics, Bayesian Statistics, Computational Statistics, Biostatistics, Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations

Research Areas : Combinatorics, Graph Theory, Domination, Balanced Networks, NP-Complete Problems

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations, Elasticity Theory, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Biomechanics, Acoustic Problems, Computational Fluid Dynamics, Multiphysics Problems, Interface Dynamics

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Nonlinear Wave Propagation, Soliton Theory, Nonlinear Optics, Spectral Methods

Research Areas : Nonlinear Differential Equations, Numerical Analysis and Approximate Solutions of Differential Equations, Asymptotic Methods, Symmetries of Differential Equations, Classification Problems, Nonlinear and Nonlocal Partial Differential Equations, Nonlinear Dynamical Systems, Integral Equations

Research Areas : Functional Analysis, Operator Theory, Dynamics of Linear Operators, Hypercyclic Operators, Operator and Matrix Functions