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

**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.

**Jack Davies**(webpage)

Supervisor: Lennart Maier

Interests: Spectral algebraic geometry, chromatic homotopy theory, (higher/model) category theory, and (global/equivariant) stable homotopy theory.

**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.

**Sven van Nigtevecht**(webpage)

Supervisor: Lennart Meier

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

**Jaco Ruit**(webpage)

Supervisor: Lennart Meier

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

**Yuqing Shi**(webpage)

Supervisor: Gijs Heuts

Interests: Homotopy theory, with a focus on Goodwillie calculus and its applications.

**Niall Taggart**(webpage)

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