Math interests Abstract harmonic analysis Algebra Algebraic and Computational Number Theory: Cyclotomic Fields, Ideal Class Groups of Number Fields, Elliptic Curves, Selmer Groups. Algebraic geometry Algebraic number theory Algebraic semigroup theory, universal algebra and model theory Algebraic statistics Algebraic topology Algorithm Theory Applied Algebraic Topology Applied and computational algebra, dynamical systems, networks, systems biology, topological data analysis Applied Harmonic Analysis Applied Mathematics Applied mathematics Applied probability Applied probability and statistics Approximations and expansions Approximation theory Approximation theory, Signal and Image Processing, Real Analysis. Artin groups Arts Associative rings and algebras Astrodynamics Astronomy and astrophysics Bifurcation with symmetry; Heteroclinic dynamics Biology and other natural sciences Boundary value problems Braid groups Calculus of variations and optimal control; optimization Category Theory Celestial mechanics Celestial Mechanics Chemistry Classical thermodynamics, heat transfer coalgebraic structures Coding theory Combinatorics Commutative rings and algebras Computational Algebra Computational algebra Computational Finance Computed Tomography Computer Aided Geometric Design Computer science Computer vision Constructional and descriptive geometry continuous optimization Convex and discrete geometry Cryptography cryptography Crystals and quasi-crystals; Cultural Heritage (museum studies) data analysis Data science data science Deep learning Deep Learning Deformation quantization, symplectic geometry, Poisson geometry Difference and functional equations Differential geometry Differential Geometry Differential invariants of Lie algebras and invariant differential equations. Symmetry and exact solutions of differential equations Discrete differential geometry, computational geometry Distribution Theory Dynamical Sampling Dynamical Systems Dynamical systems and ergodic theory dynamic equations E-Voting Educational Mathematics engineering maths Epidemiology/Mathematical Modelling. Equality Ethnomathematics Factorization theory Field theory and polynomials Financial Mathematics Fixed Point Theory Fluid Dynamics Fluid Flow with Nanoparticles Fluid mechanics Fourier analysis Fractional calculus Fractional differential equations Functional analysis Functions of а complex variaЬle Game theory, economics, social and behavioral sciences Gelfand pairs, mathematical physics General algebraic systems General topology GeoGebra Geometric Singular Perturbation Theory Geometry Geometry and Conformal Field Theory Geophysical Fluid Dynamics Geophysics Global analysis, analysis on manifolds Graph Theory Graph theory and its applications Group Actions on Manifolds and CW-complexes Group analysis of differential equations and integrable systems Group theory and generalizations Hamiltonian systems Heat and Mass Transfer High Performance Computing History and Biography History of mathematics (descriptive geometry) Homogenization theory hyperbolic geometry Image Analysis Image processing Image Processing image restoration Imaging science index theory Industry 4.0 Infectious disease modeling infinite dimensional geometry Information and communication, circuits Integrable systems Integral equations integral inequalities Integral transforms, operational calculus inverse problems Inverse Problems Inverse problems Inverse Problems, Imaging, Deep Learning K-theory KAM theory Kernel methods Kinetic Theory Kinetic theory Knot theory Linear and multilinear algebra; matrix theory Machine learning Machine Learning Machine Learning, Classification, Graph Theory, Algorithm Theory Manifolds and cell complexes Mathematical and computational methods in statistics Mathematical Biology mathematical biology Mathematical Foundations of Data Science Mathematical logic апd foundations Mathematical modeling Mathematical modelling mathematical modelling Mathematical Modelling mathematical neuroscience Mathematical physics Mathematics and gender Mathematics education Mathematics emerging from quantum field theory Mathematics of Machine Learning Measure and integration Mechanics of deformable solids Mechanics of particles and systems Model order reduction Modular forms multizeta functions Music Navier-Stokes equations network science Nonlinear Analysis Nonlinear Optimization Number theory Numerical analysis Operations research, mathematical programming Operator theory Optics, electromagnetic theory Optimal Transport Optimization Order, lattices, ordered algebraic structures Ordinary differential equations ordinary differential equations Oscillatory theory Partial differential equations partial differential equations Perturbative methods Physics Polynomial approximation Potential theory Probability theory Probability theory and stochastic processes pseudodifferential analysis Quantum Fluids Quantum theory real algebraic geometry, algorithms Real functions Relativity and gravitational theory Response Surface Methodology sales and operations planning Science communication Scientific Computing Semi-classical and microlocal analysis Sensitivity Analysis Sequences, series, summability Several complex variables and analytic spaces simulation modeling Special functions Spectral theory (asymptotics of eigenvalues and eigenfunctions) Stability Stability of dynamic system with random parameters Statistical mechanics, structure of matter Statistics Structure-preserving discretization of differential equations Supply chain management Supporting for online teaching in mathematics (technology) Survey sampling Survey statistics Systems theory; control Teaching methods in mathematics The mathematics of Quantum Field Theory Theory of quasigroups and loops The research of the problems of natural and applied sciences with mathematical methods Time-Series Representation Learning Topological groups, Lie groups Type theory Uncertainty Quantification Unique continuation principles for elliptic and parabolic equations women in STEM
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