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Department of Mathematics: Algebra and Geometry Ghent University

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The research of the department is situated in the area of fundamental mathematics, more precisely in algebra and geometry. Some of the central themes of our research are: (1) finding connections between group theory and non-associative algebraic structures; (2) the study of Tits buildings and related geometrical objects; (3) the study of topological groups acting on geometrical structures; (4) the study of exceptional groups (including the ...

Algebra, geometry and ISLAb University of Antwerp

The research group Algebra, Geometry and ISLAB performs research in different fields : non-commutative algebraic geometry, the theory of relative invariants and the combinatorics of genetic algorithms. New developments concerning the application of machine learning and techniques in bioinformatics are also studied.

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.

Algebra KU Leuven

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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

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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 ...