Welcome
I am an associate professor at the Institute for Software Technology at Graz University of Technology. For more information please have a look at my official TUG-Online Visitenkarte (business card) or my contact page.
EUROCORES-Project ComPoSe
ComPoSe: Combinatorics on Point Sets and Arrangements of Objects
This CRP focuses on combinatorial properties of discrete sets of points and other simple geometric objects primarily in the plane. In general, geometric graphs are a central topic in discrete and computational geometry, and many important questions in mathematics and computer science can be formulated as problems on geometric graphs. In the current context, several families of geometric graphs, such as proximity and skeletal structures, constitute useful abstractions for the study of combinatorial properties of the point sets on which they are defined. For arrangements of other objects, such as lines or convex sets, their combinatorial properties are usually also described via an underlying graph structure.
Doctoral Program "Discrete Mathematics"
The Doctoral Program "Discrete Mathematics" offers an advanced PhD training and research program which is run jointly by
- Graz University of Technology (TU Graz),
- University of Graz (KFU Graz), and
- University of Leoben (MU Leoben).
It is funded by the Austrian Science Fund (FWF) and the three supporting universities.
Range of topics
The range of topics in Discrete Mathematics comprises
- Commutative and noncommutative Algebra
- Number Theory
- Additive Combinatorics
- Discrete Dynamics and Fractals
- Graph Theory
- Combinatorial Group Theory
- Discrete Stochastics
- Combinatorial Optimisation
- Discrete and Computational Geometry
- Analysis of Algorithms
You can find the individual projects here and the open positions here.