Research at the Department of Mathematics

Research domains

Analysis

Emerging from infinitesimal calculus, analysis has applications in all branches of modern science. The displayed minimal surface is an example from the calculus of variations. (S. Wenger, P. Ghanaat)

Biomathematics and mathematical modelling

Mathematical models are developed to describe processes in physiology (muscle activation), in biology (dynamics of animal populations) or for industrial purposes. (Jean-Pierre Gabriel)

Algebra and Geometry

Since antiquity, these two disciplines have been related. The properties of hyperbolic space, which is illustrated by tesselating right-angles dodecahedra, are of interest to mathematicians and physicists. (Ruth Kellerhals, Claude Marion, Hugo Parlier)

Numerical Mathematics

Numerics is concerned with methods developed for performing computations that are necessary for the applications of mathematics. The figure displays the result of such a computation for an interpolation problem. (Jean-Paul Berrut)

Topology

A central theme of topology is the classification of surfaces and their analogues in higher dimensions. The sculpture of Max Bill illustrates the Möbius strip, a surface with only one side. (Anand Dessai)

Probability and Statistics

The time evolution of stock market prices and many other phenomenon are described as random functions. The picture illustrates realizations of the Brownian motion, a process central in science. (Christian Mazza)

Combinatorics

Out of the classical "art of counting” grew modern combinatorics: a network of theories which represents one of the fastest growing mathematical areas of research, with many connections and applications. The picture shows a configuration where every marked point lies on 4 lines and every line passes through 4 marked points. It has 20 points and lines: can you find one with 19? (Emanuele Delucchi)

Research links:

Université de Fribourg - Mathématiques - Ch. du Musée 23, 1700 Fribourg - tél +41 26 / 300 9180  fax +41 26 / 300 9744     isabella.trabelsi@unifr.ch
Last modified on Oct 24, 2014    Webmaster: Lev Kiwi