Algebraic Topology

 Our group has interest in many facets of modern homotopy theory, in particular focusing on: 

  • Chromatic homotopy theory
  • Equivariant homotopy theory
  • Functor calculus
  • Higher category theory
  • Homotopy type theory
  • K-theory, TC and THH
  • Topological and Infinity-Operads
  • Unstable homotopy theory

We have special interest in topics where these facets interact, for example: 

  • Studying unstable chromatic homotopy theory via the spectral Lie operad.
  • Developing equivariant versions of important cohomology theories in chromatic homotopy theory, like topological modular forms.
  • Modeling higher categories in homotopy type theory.
  • Studying the chromatic behaviour of K-theory and TC.

We are also interested in interactions with neighboring fields like algebraic geometry, computer science, differential topology, logic or mathematical physics. Our members are part of the Dutch cluster on Geometry and Quantum Theory (GQT).

Events

  • TopICS

    The Topology Intercity Seminar is a joint seminar organized together with the algebraic topologists from Radboud University Nijmegen and Vrije Universiteit Amsterdam.

  • Reading seminars

    The group organizes various reading seminars. The current one is on Ambidexterity and cyclotomic redshift.

  • Courses and minicourses

    The group offers various courses aimed at master and PhD students. The last iteration of the MSc seminar was about K-Theory and complex-oriented cohomology theories. The last minicourse was on Synthetic spectra.

  • Higher Geometric Structures along the Lower Rhine

    This is a biyearly event jointly organised between the universities of Bonn, Cologne, Nijmegen and Utrecht. Its focus lies on the development and application of new structures in geometry and topology

  • Kan lectures

    The Kan lectures are yearly lecture series by renowned mathematicians, established to honour Dutch mathematician Daniel Kan (1927-2013). The 2025 speaker was Søren Galatius.

    Image License CC BY-SA 3.0
    Picture by Jonah Kan

  • EAST

    The European Autumn School in Topology is a yearly autum school, mainly aimed at PhD students. The 2026 edition will take place during the week September 14-18, close to Utrecht.

Staff

  • dr. G.S.K.S. (Gijs) Heuts

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

  • dr. F.L.M. (Lennart) Meier

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

  • prof. dr. I. (Ieke) Moerdijk

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

  • dr. P.R. (Paige) North

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

  • dr. L.S. (Léonard) Guetta

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

  • dr. V. (Vignesh) Subramanian

    Researcher
  • Interests: Homotopy theory (both stable and unstable), homotopical algebra and representation theory.

  • dr. M. (Miguel) Lourenço Henriques Barata

    PhD Candidate
  • PhD Supervisor: Ieke Moerdijk
    Interests: Homotopy theory, in particular dendroidal homotopy theory and Goodwillie-Weiss's manifold calculus.

  • M.C. (Maite) Carli

    PhD Candidate
  • PhD Supervisor: Gijs Heuts
    Interests: Homotopy theory, more precisely chromatic and unstable homotopy theory.

  • R. (Ryan) Quinn MSc

    PhD Candidate
  • PhD Supervisor: Lennart Meier
    Interests: Homotopy theory, in particular equivariant stable homotopy theory and equivariant elliptic cohomology.

Previous events

Events organised by our group in the past can be found here.