Differential Geometry

Our research ranges from the general (i.e. the development of abstract frameworks to tackle the study of geometric structures) to the specific (the study of concrete geometries). In doing so, we borrow tools from Algebra, Geometric Analysis, and Homotopy Theory. Some of our research interests include:
  • Foliation Theory
  • Generalised Geometry
  • Geometry of PDEs
  • h-Principle
  • Index Theory
  • Lie Theory, including Lie algebroids and groupoids
  • Non-linear elliptic PDEs and their applications in Differential Topology
  • Poisson Geometry
  • Symplectic Geometry and Topology, Contact Topology
  • Subriemannian Geometry
Our members are part of the Dutch cluster on Geometry and Quantum Theory (GQT).

Our members

Luca Accornero
Supervisor: Marius Crainic
Gil Cavalcanti (webpage)
Interests: Differential geometry and differential topology of symplectic, complex and generalized complex manifolds as well as their applications to string theory.
Marius Crainic (webpage)
Interests: Differential Geometry - especially Poisson, but also Symplectic, Contact, generalised complex structures, Foliations, Lie groupoids (active), Lie pseudogroups, EDS and the geometry of PDEs (more recent), Noncommutative Geometry (dormant).
Maarten Mol (webpage)
Supervisor: Marius Crainic
Álvaro del Pino Gómez (webpage)
Interests: Differential Geometry and Topology, particularly h-principle and topological aspects in the study and classification of geometric structures (some concrete examples: symplectic, contact, and Engel structures; other bracket-generating distributions).
Aldo Witte
Supervisor: Gil Cavalcanti & Marius Crainic
Fabian Ziltener (webpage)
Interests: Symplectic geometry, gauge theory, and partial differential equations.

Local seminars

The Friday Fish. Our local seminar on Poisson Geometry (now also online).

National seminars and workshops

Dutch Differential Topology and Geometry seminar. The DDT&G is a monthly seminar organised between the universities of Amsterdam, Leiden and Utrecht. It features 2-hour minicourses aimed at a broad audience of master students and researchers, and focused on exciting recent developments.
Higher Geometric Structures along the Lower Rhine. This is a yearly event jointly organised between the universities of Bonn, Nijmegen and Utrecht. Its focus lies on the development and application of new structures in geometry and topology. The last workshop took place in 2019.

Teaching and supervision

We are involved in teaching and supervision at the bachelor, master, and PhDs levels. You can find more information, including relevant courses and potential thesis projects, in the following links:

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