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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 Vrije Universiteit Brussel

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The research unit Algebra develops research on ring theory, groups and semigroups. This includes research on the algebraic structure of important classes of rings and semigroups, such as, group and semigroup rings, lineair groups and submonoids of polycyclic-by-finite groups. The main goals include the description of the unit group of integral group rings, the isomorphism problem of group rings, the characterisation of Noetherian semigroup ...

Mathematics-TW Vrije Universiteit Brussel

The main research topics of the department WISK are: 1. p-adic analysis The functions studied in the mathematical analysis have real and complex values. One can replace the real or complex numbers by other numbers: the p-adic numbers (p is a prime). These numbers have properties that are rather different from the properties of real numbers. For instance when calculating with p-adic numbers rounding errors do not occur. The analysis built on ...

Algebra and Analysis Vrije Universiteit Brussel

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The ALAN research group (ALgebra and ANalysis) specializes in the two core domains ALGEBRA and ANALYSIS within mathematics. These domains have a rich history, and cover a broader spectrum in modern mathematics than is traditionally thought of. ALGEBRA studies discrete structures such as groups (study of symmetries) and categories (study of relationships). ANALYSIS studies continuous structures, and develops theories in which approaches to ...

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 ...

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 ...