- Research
- Research Groups

# Research Groups

- The research group
*Incidence Geometry*
studies incidence structures, Galois geometry and coding theory,
with current research topics: polar spaces, generalised polygons,
near polygons,
buildings, partial geometries and their generalisations,
projective embeddings and non-abelian representations of geometries,
special subsets in Galois spaces with their translations in terms of codes and links to cryptography.

- The research group
*Logic and Analysis*
studies mathematical analysis, logic, computer science and their interrelations.
Current research includes generalised function theory, nonstandard analysis, logical limit laws,
phase transitions for Gödel incompleteness, computer assisted proving and dynamical systems.

- The research group
*Analysis & PDE's* studies
functional analysis, non-commutative analysis, spectral theory, PDE’s, harmonic analysis, subelliptic analysis, function spaces, pseudo-differential operators, fractional derivatives, microlocal analysis, and nonharmonic analysis. We are also interested in numerical aspects of the above research and in its applications.

- The research group
*Functional Analysis and Number Theory* studies locally convex function spaces, Fourier analysis, and analytic number theory. Current research includes time-frequency analysis methods in functional analysis, linear and non-linear theories of generalized functions, Denjoy-Carleman classes, homological algebra methods in functional analysis, function spaces on Lie groups, Tauberian theorems, asymptotic analysis, generalized primes and integers, and mean-value theorems for arithmetic functions.