The research activities of the Applied Mathematical Analysis Section span from fundamental theoretical aspects of analysis and topology to computational mathematics. The research areas are quite diverse and cover in our current research portfolio: algebraic topology, approximation theory, computational mathematics, concurrency theory, harmonic analysis, inverse problems, mathematical physics, and partial differential equations.
Applied Mathematical Analysis
The Discrete Mathematics group conducts teaching and research on a variety of discrete structures. We aim at contributing at all of the following three levels: 1) pure mathematics, 2) use-inspired mathematics, and 3) applied mathematics. This is related to the fact that we enjoy collaborating with researchers outside our own area - typically computer scientists and electrical engineering researchers. The involved mathematical methods are those of algebra, combinatorics, and probability theory. Core research areas are coding theory, cryptography and graph theory, but we also take an interest in other topics.