Applied Discrete Geometry

Rigidity and flexibility of discrete geometric constraint systems and applications

Combinatorial Optimization

Graph Theory

Algebraic methods in discrete mathematics

I would be happy to supervise a PhD student who is interested in graph theory, combinatorics and/or discrete geometry (in particular rigidity and flexibility of geometric constraint systems, geometric graphs, count matroids, and symmetry in discrete structures). I have purely mathematical projects as well as projects that are motivated by applications and are interdisciplinary (involving areas such as robotics, structural and mechanical engineering, biophysics, and materials science).

http://www.maths.lancs.ac.uk/~schulzeb/