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)

Research links:

• FUTURA research database of the University
• SystemsX, the Swiss Initiative in Systems Biology
• FRISAM expert group for research in industrial applied mathematics and statistics
• Research seminars / Oberseminars of the Department
• Collata Opera Mathematica Friburgensia, a journal edited by the Department