Research area Geometry and Topology

The many forms of modern geometry and topology

ResearchArea DMATH GT ReachingForEneagons

Exploring geometric objects, their topology and deformation: at the heart of mathematics and the language of science

About

Modern geometry and topology can take many forms, from understanding simple shapes to more abstract manifolds and higher structures.
Beyond their intrinsic beauty, these geometric and topological worlds often become model spaces for other sciences.
At DMATH, we study a plethora of geometric objects and how they deform, including moduli spaces, hyperbolic and Riemannian manifolds, and algebraic curves and varieties.

The following scientists and their groups contribute to the research in this area: Pieter Belmans, Karin Melnick, Sergei Merkulov, Hugo Parlier, Sarah Scherotzke, Jean-Marc Schlenker

Research groups

  • Mathematics

    Derived Algebraic Geometry and its Applications

  • Mathematics

    Exploring and Sharing the Beauty of Shapes

  • Pieter Belmans' research group
    Mathematics

    Geometry through Categories and Noncommutative Algebra

  • Mathematics

    Geometric Structure and Moduli Spaces

  • Sergei Merkulov's research group
    Mathematics

    Graph Complexes in Algebra, Geometry and Physics

  • Mathematics

    Group Actions, Geometric Structures, and Smooth Dynamics