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 Algebraic vision Algorithm Theory Analysis Analysis in Metric Measure Spaces Applied Algebraic Topology Applied and computational algebra, dynamical systems, networks, systems biology, topological data analysis Applied Harmonic Analysis Applied harmonic analysis Applied Mathematics Applied mathematics Applied probability Applied probability and statistics Approximate Bayesian computation Approximations and expansions Approximation theory Approximation theory, Signal and Image Processing, Real Analysis. Arithmetic geometry Artin groups Arts Associative rings and algebras Astrodynamics Astronomy and astrophysics Bifurcation with symmetry; Heteroclinic dynamics Biology and other natural sciences Birational Geometry Boundary value problems Braid groups Calculus of Variations Calculus of variations and optimal control; optimization Category Theory Celestial Mechanics Celestial mechanics Central sipmle algebras Chemistry Classical thermodynamics, heat transfer coalgebraic structures Coding theory Combinatorics Commutative rings and algebras Compressed Sensing 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 Deep Unfolding 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 Ecological modelling Educational Mathematics EEG data engineering maths Epidemiology/Mathematical Modelling. Equality Ethnomathematics Factorization theory Field theory and polynomials Financial Mathematics 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 Galois cohomology Game theory, economics, social and behavioral sciences Gelfand pairs, mathematical physics General algebraic systems General topology GeoGebra Geometric group theory 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 Higher Education 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 Inclusive Mathematics index theory Industry 4.0 Infectious disease modeling infinite dimensional geometry Information and communication, circuits Insurance mathematics, Queueing theory Integrable systems Integral equations integral inequalities Integral transforms, operational calculus Inverse Problems inverse problems Inverse problems Inverse Problems, Imaging, Deep Learning K-stability K-theory KAM theory Kernel methods Kinetic theory Kinetic Theory Knot theory Learning Theory Lesson Study 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 chemistry, spatial graphs Mathematical Foundations of Data Science Mathematical logic апd foundations Mathematical modeling mathematical modelling Mathematical modelling Mathematical Modelling mathematical neuroscience Mathematical neuroscience Mathematical physics Mathematics and gender Mathematics education Mathematics Education Mathematics emerging from quantum field theory Mathematics of Machine Learning Mathemtics Measure and integration Mechanics of deformable solids Mechanics of particles and systems Modular forms Moduli theory multizeta functions Music Navier-Stokes equations Network inference 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 Partial Differential Equations Perturbative methods Physics Point Processes Polynomial approximation Potential theory Probability theory Probability theory and stochastic processes Profinite groups 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 Sparse representations Spatial Statistics Special functions spectral theory Spectral theory (asymptotics of eigenvalues and eigenfunctions) Stability Stability of dynamic system with random parameters Statistical mechanics, structure of matter Statistics Stochastic differential equations Supply chain management Supporting for online teaching in mathematics (technology) Survey sampling Survey statistics Systems theory; control Teacher education teachers education 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 Visual Impairments women in STEM
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