Research in mathematics is guided, on the one hand by the purely abstract ideals of fundamental research, and on the other hand by the many applications which have benefited from recent mathematical results. For example, scanners are based on integral geometry (the Radon transform); the transmission of messages, on algebraic combinatorics (the theory of codes); meteorological forecasts, on mathematical and numerical analysis (differential equations); image processing, on a recent extension of Fourier analysis (wavelets); and internet search engines, on spectral graph theory. On another front, training in mathematics is an excellent means of acquiring the two tools essential for solving problems: creative imagination and intellectual rigor.
Research at the Department of Mathematics is conducted in the classical fields: geometry, algebra, analysis, mathematical physics, numerical analysis, probability and statistics. Its dynamic atmoshpere fosters both learning and research. The department provides a firm grounding both for students who intend to specialise in advanced research and for those who intend to become secondary school teachers. The degrees offered are those of the Bologna system: bachelor's, master's and doctorate.
An essential aspect of the daily life of doctoral students and other researchers is the constant exchange of ideas with mathematicians from all over the world. For example, during the months preceding the drafting of this text, we welcomed visitors from the following countries: Germany, Austria, Brazil, Bulgaria, Canada, China, the United States, Spain, Finland, France, Great Britain, Hungary, India, Italy Israel, Japan, Poland, Russia and Sweden.