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

**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).

**Heinz Hanßmann**(webpage)

Interests: Dynamical systems, particularly Hamiltonian systems

**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).

**Michal Wrochna**(webpage)

Interests: microlocal analysis, partial differential equations, spectral theory and asymptotic analysis in geometric contexts, Quantum Field Theory on Lorentzian manifolds, inverse problems

**Anna Fokma**(webpage)

Supervisor: Álvaro del Pino

Interests: Differential Topology/Geometry. My work deals with h-principle (particularly convex integration) and tangent distributions

**Aaron Gootjes-Dreesbach**(webpage)

Supervisor: Álvaro del Pino

Interests: Differential Geometry and Topology, particularly the h-principle

**Yann Guggisberg**(webpage)

Supervisor: Fabian Ziltener

Interests: Symplectic geometry and topology. My work primarily deals with generalized symplectic capacities.

**Ashkan Sadat Kyaee**

Supervisor: Michal Wrochna

Interests: Global and microlocal analysis, Dirac operators and Index theory (especially on Lorentzian manifolds), applications to Quantum field theory in curved spacetime

**Bas Wensink**(webpage)

Supervisor: Gil Cavalcanti

Interests: Geometric structures on Lie algebroids, logarithmic geometry from a Lie algebroid perspective and Calabi-Yau geometry.