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Algebra, geometry and ISLAb University of Antwerp
Analytical, Categorical and Algebraic Topology Vrije Universiteit Brussel
The research team investigates mathematical structures that are important in several basic areas of mathematics like geometry, representation theory, functional analysis, differential calculus or theory of approximation. The motivation also comes from outside mathematics, from computer science or physics where some of the mathematical structures that are studied are called upon as models. By application of methods from category theory the ...
Geometry KU Leuven
Research in the Geometry Section is focussed on differential geometry, in particular on Riemannian and pseudo-Riemannian geometry and on Poisson geometry and symplectic geometry: curves and surfaces; curvature theory; submanifold theory; homogeneous spaces; deformation theory; (singular) foliations and Lie groupoids; physical applications.
Fatemeh Mohammadi KU Leuven Ghent University
Algebra KU Leuven
NUMBER THEORY AND ALGEBRAIC GEOMETRY
1) Study of the number of solutions of polynomial equations in several variables over finite fields and residue class rings, with emphasis on the relation to geometric and topological invariants of the equations, Igusa's local zeta function, p-adic exponential sums.
2) Connections between (1) and the theory of singularities, resolution of singularities, Log Minimal Model Program, topological ...
Topological Algebra, Functional Analysis and Category Theory Vrije Universiteit Brussel
The research team investigates mathematical structures that are important in several basic areas of mathematics like geometry, representation theory, functional analysis, differential calculus or theory of approximation. The motivation also comes from outside mathematics, from computer science or physics where some of the mathematical structures that are studied are called upon as models. By application of methods from category theory the ...