Our research lies in homotopy theory and its interaction with related subjects, like algebraic geometry, combinatorics, differential topology and logic. Some of our research interests include:

- Chromatic and telescopic homotopy theory, both stable and unstable
- Derived algebraic geometry
- Equivariant homotopy theory
- Goodwillie calculus
- Higher category theory
- Infinity-Operads (especially through the lens of dendroidal sets)
- Moduli of elliptic curves
- Spectral Lie algebras
- Topological modular forms

Our members are part of the Dutch cluster on Geometry and Quantum Theory (GQT).

#### Our members

**Gijs Heuts**(webpage)

Interests: Algebraic topology, specifically Goodwillie calculus, chromatic homotopy theory, higher category theory and operads.

**Lennart Meier**(webpage)

Interests: Chromatic homotopy theory (stable and unstable), equivariant homotopy theory, topological modular forms, moduli of elliptic curves

**Ieke Moerdijk**(webpage)

Interests: Algebraic topology, applications of topology to mathematical logic.

**Paige North**(webpage)

Interests: Category theory, homotopy theory, higher category theory, logic, homotopy type theory, and connections of those subjects with computer science and engineering

**Guy Boyde**(webpage)

Interests: Unstable phenomena in homotopy theory, especially the asymptotic behaviour of torsion in unstable homotopy groups.

**Christian Carrick**(webpage)

Interests: Equivariant, chromatic, and motivic homotopy, computations with higher real K-theories

**Léonard Guetta**(webpage)

Interests: Higher category theory, category theory, homotopical algebra and homotopy type theory.

**Tobias Lenz**(webpage)

Interests: Equivariant and global homotopy theory, with a particular focus on equivariant infinite loop space theory and the corresponding refinements of algebraic K-theory.

**Niall Taggart**(webpage)

Interests: Algebraic topology, specifically functor calculus, stable and equivariant homotopy theory, model categories and higher category theory.

**Miguel Barata**(webpage)

Supervisor: Ieke Moerdijk

Interests: Homotopy theory, in particular dendroidal homotopy theory and Goodwillie-Weiss's manifold calculus.

**Max Blans**(webpage)

Supervisor: Gijs Heuts

Interests: Homotopy theory, specifically (unstable) chromatic homotopy theory and Goodwillie calculus.

**Marco Nervo**(webpage)

Supervisor: Gijs Heuts

Interests: Metastable, chromatic and telescopic homotopy theory, functor calculus, computations, synthetic spectra.

**Sven van Nigtevecht**(webpage)

Supervisor: Lennart Meier

Interests: Topological modular forms, chromatic homotopy theory, and equivariant stable homotopy theory.

**Ryan Quinn**

Supervisor: Lennart Meier

Interests: Homotopy theory, in particular equivariant stable homotopy theory and equivariant elliptic cohomology.

**Jaco Ruit**(webpage)

Supervisor: Lennart Meier

Interests: Homotopy theory, particularly equivariant stable homotopy theory and higher category theory