ALGEBRA
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commutative algebra; history and philosophy of mathematics
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noncommutative algebra; Lie and Jordan algebras; algebras with polynomial identities; representation theory
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computational and applied algebra; cryptography; commutative and associative algebra
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algebras with polynomial identities; algebraic combinatorics; group theory; Lie algebras; representation theory
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COMPLEMENTARY MATHEMATICS
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digital resources in mathematics education; pre-service and in-service mathematics teachers professional development; STEM and interdisciplinary issues in mathematics education; educational technologies, computer supported cooperative learning and e-learning in mathematics; adults learning mathematics and other sciences
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GEOMETRY
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quaternionic analysis and geometry; complex and hypercomplex analysis and geometry; twistor geometry with special focus to algebraic cases (projective spaces, flag manifolds)
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differential geometry; interactions between topology and global analysis; topological and geometric invariants of elliptic operators; operator algebras; K-theory and K-homology; noncommutative geometry
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algebraic and complex geometry; holomorphic distributions and foliations; localization and residues of characteristic classes; moduli spaces of distributions and foliations; holomorphic Poisson geometry and co-Higgs sheaves
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algebraic geometry; projective geometry; birational properties of projective varieties
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differential geometry; geometric structures on Riemannian manifolds; almost contact and almost 3-contact metric structures; relations with complex and hypercomplex structures; connections with torsion; curvature
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Riemannian geometry: interactions between almost contact metric and almost Hermitian manifolds;
Riemannian submersions; slant submanifolds; Ricci solitons; Riemannian solitons
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deformation theory; differential graded Lie algebras
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MATHEMATICAL ANALYSIS
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real and functional analysis; approximation by positive operators; one-parameter semigroups and linear evolution equations
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variational and topological methods in nonlinear analysis; critical point theorems in Banach spaces; quasilinear modified Schrödinger equations; quasilinear elliptic problems of p-Laplacian type; geodesics and trajectories in semi-Riemannian manifolds
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approximation theory; positive approximation processes; semigroups of operators; functional analysis; biological models
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nonlinear partial differential equations; nonlinear Schrödinger equation; quantum mechanics; quasilinear elliptic equations and systems; nonlocal operators and associated boundary value problems; variational and topological methods in nonlinear analysis; critical point theory, Morse theory in Banach spaces
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variational and topological methods in nonlinear field equations; solitons; vortices
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qualitative properties of solutions to subelliptic PDEs; analysis on Lie groups: Heisenberg, Carnot groups, general homogeneous groups; functional inequalities and their extremals in the sub-riemannian setting, elliptic and subelliptic equations with critical exponents
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semilinear hyperbolic equations; blow-up techniques; critical exponents for power type nonlinearities; lifespan estimates; semilinear wave equations on curved space-times and on unimodular Lie groups; harmonic analysis
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variational and topological methods in nonlinear analysis; critical points theory; nonlinear ordinary differential equations; nonlinear partial differential equations; quasilinear elliptic equations and systems
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variational and topological methods in nonlinear analysis; critical point theory; nonlinear partial differential equations; nonlocal problems
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nonlinear partial differential equations; variational and topological methods in nonlinear analysis; perturbative approach to nonlinear PDEs; qualitative properties of solutions of nonlinear equations; quasilinear problems; nonlocal systems of nonlinear PDEs; conformal geometry and nonlinear problems; normalized solutions of elliptic systems; nonlinear Schrödinger equation
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MATHEMATICAL METHODS FOR ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
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option pricing, portfolio optimization, interest rates dynamics, stochastic optimal control, stochastic calculus, stochastic volatility, jump processes, Hawkes processes, commodity markets
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MATHEMATICAL PHYSICS
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random matrices; quantum theory; probability models; statistical physics; special functions; combinatorics
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foundations of continuum systems mechanics; stability in mechanics and fluiddynamics; classical thermodynamics of irreversible processes; point cloud analysis and processing; mathematical applications of deep learning
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mathematical methods in quantum mechanics; semiclassical analysis; perturbation theory; random matrices and integrable systems; partial differential equations
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NUMERICAL ANALYSIS
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numerical methods for the solution of ordinary differential equations; numerical solution of multiparameter spectral problems; numerical Integration of conservative dynamical systems; numerical solution of linear systems
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optimization; dimensionality reduction techniques; data analysis; decision-making models and their applications; matrix decomposition
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numerical dynamical systems; stability spectra and Lyapunov exponents; discontinuous dynamical systems
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optimization; dimensionality reduction techniques; data analysis; decision-making models and their applications; matrix decomposition
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numerical analysis; development of efficient numerical software; fractional differential equations; evaluation of special functions
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numerical Integration of conservative dynamical systems; numerical methods for the solution of ordinary differential equations; methods of lines for Hamiltonian partial differential equations; robust data fitting; history of holomorphic dynamics
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numerical methods for discontinuous ODEs and DAEs, event location techniques, spectral numerical methods for peridymamic models, virtual element methods for nonlocal problems
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factorization of parameter-dependent matrices; dynamical systems; bifurcations
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polytopal numerical methods for partial differential equations; virtual element methods; divergence-free method for fluid dynamic problems; highly convection dominated problems; fluid-structure interaction problems; interpolation estimates in the presence of complex meshes; adaptivity for VEM
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PROBABILITY AND STATISTICS
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quantum probability; non-commutative stochastic processes; C*-dynamical systems; operator algebras
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operator algebras; quantum probability; C*-dynamical systems; algebraic quantum field theory; conformal field theory
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quantum probability; C*-dynamical systems; operator algebras; Fock spaces
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operator algebras; C*-algebras and their representation theory; C*-dynamical systems; non-commutative probability; non-commutative stochastic processes
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