The Department of Mathematics offers a PhD programme in Mathematics. This programme comprises a personal research project leading to a doctoral thesis to be completed over 3-4 years. PhD candidates participate in the scientific life at the Department through seminars, advanced courses, workshops or other activities at the Department or in the framework of the Swiss Doctoral Program in Mathematics.

The following is a list of professors supervising doctoral theses and of their areas of specialisation.

• Prof. Enrico Le Donne

– Metric and differential geometry, geometric measure theory, geometric analysis; in particular: Lipschitz analysis on metric spaces, sub-Riemannian geometry, group actions, rectifiability on Carnot groups, geometric group theory, asymptotic geometry, embedding problems

• Prof. Anand Dessai

– Algebraic and differential topology, Riemannian geometry; group actions, positive curvature and symmetry, equivariant index theory

• Prof. Ruth Kellerhals

– Hyperbolic geometry; geometry of discrete groups, geometric group theory, discrete and convex geometry, volumes and polylogarithms

• Prof. Ioan Manolescu

– Probability; problems inspired by statistical mechanics, lattice models such as percolation, random-cluster and Potts models, self-avoiding walk

• Prof. Christian Mazza

– Applied probability; stochastic models in ecology and systems biology, biological networks, complex ecosystems, mathematical models of plant growth

• Prof. Stefan Wenger

– Geometric measure theory, metric geometry; currents in metric spaces, Lipschitz analysis, isoperimetric inequalities, minimal surfaces, asymptotic geometry