Urs Lang

Urs Lang is a Full Professor at the Department of Mathematics, ETH Zurich, where he has held a professorship since 2001. His academic journey began with mathematics studies at the University of Berne and the University of Freiburg i.Br., culminating in a doctoral degree focused on hyperbolic geometry and minimal surfaces.

• Education:
  • University of Berne (undergraduate)
  • University of Freiburg i.Br. (doctoral degree)

Lang's research lies at the intersection of differential geometry, metric geometry, and geometric group theory. His work explores non-positive curvature spaces, geometric measure theory, and large-scale Lipschitz analysis. Recent publications examine combinatorial hyperbolicity, isoperimetric inequalities, and rank-rigidity phenomena.

The publications overview reveals a consistent focus on geometric structures, including:

• Higher-rank hyperbolicity in singular spaces
• Convex geodesic bicombings
• Injective hulls in geometric group theory
• Nonlinear potential theory on hyperbolic metric spaces
• Lipschitz extension problems
• Curvature comparison theorems

Lang actively contributes to academic discourse through editorial roles at journals like Geometry and Topology and Analysis and Geometry in Metric Spaces, as well as organizing major conferences including the 2025 Metric Analysis Trimester Program at Bonn's Hausdorff Institute.