Organisations
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
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 ...
Algebra and Analysis Vrije Universiteit Brussel
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 ...
Mathematics, Kulak Kortrijk Campus KU Leuven
Research topics of this research unit are:
• Crystallographic and Bieberbach groups and their generalizations, both from an algebraic and geometrical point of view.
• Affine and polynomial structures for (virtual) polycyclic groups, conceptual and computational aspects and applications
• Group actions on varieties, algebraic topological and geometric characteristics.
• Topological fixed point theory.
• ...
Analysis KU Leuven
The research in this section is divided into two research groups. The group of classical analysis is mainly interested in orthogonal polynomials, special functions, approximation theory, Riemann-Hilbert problems and random matrices, whereas the functional analysis group focusses its attention on C*-algebras, von Neumann algebras, topological dynamics, geometric and measurable group theory and subfactors . There are however important synergies ...
Department of Mathematics: Analysis, Logic and Discrete Mathematics Ghent University
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 ...
Mathematics Vrije Universiteit Brussel
The department DWIS includes research groups dealing with: - Algebra (ALGB) with research focussed on ring theory, groups and semi-groups; - stochastics (TWIS) - Topology, Algebraic Topology and Approximation theory (AATO)with focus on analytical and categorical topology, on algebraic topology and Approximation theory in Banach spaces. -CAMP (applied mathematics)