# Organisations

## Foundations of the Exact Science Vrije Universiteit Brussel

From the birth of science, mathematics and physics have played a major role and their evolution has always been closely connected. Pythagoras, Aristotle, Ezeno, Euclid, Archimedes, etc . . . till our times, Riemann, Hilbert, Einstein, Poincare, Heisenberg, Schrodinger, Dirac, Von Neumann, Godel, etc . . . Have all wandered between mathematics and theoretical physics, investigating the fundamental scientific problems of their times. In this ...

## Fundamental Mathematics University of Antwerp

## 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, 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.

• ...

## Algebra Vrije Universiteit Brussel

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 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)

## 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 ...

## NUMA, Numerical Analysis and Applied Mathematics Section KU Leuven

NUMERICAL APPROXIMATION AND NUMERICAL LINEAR ALGEBRA GROUP (A. Bultheel): * Fast and stable algorithms to solve many problems in mathematics connected to continued fractions, orthogonal functions, rational approximation & interpolation, etc. with applications in signal processing, linear systems, etc.. * Numerical solution of recurrence relations with continued fractions. * Fast and stable algorithms to solve structured linear systems of ...

## 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 ...