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.
(JeanPierre Gabriel)


Algebra and Geometry
Since antiquity, these two disciplines have been related. The properties of hyperbolic
space, which is illustrated by tesselating rightangles dodecahedra, are of interest to mathematicians and physicists.
(Ruth Kellerhals,
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.
(JeanPaul 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 countingâ€ 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)



Université de Fribourg  Mathématiques  Ch. du Musée 23, 1700 Fribourg  tél +41 26 / 300 9180 isabella.trabelsi@unifr.ch