Math

I’m a Master student at the Utrecht University. My main interest lie, in general, in algebraic topology. More specifically am i interested in unstable synthetic homotopy theory. I’m also interested in calculations and computations in homotopy theory, especially with regards to (unstable) homotopy groups of spheres.

Some projects i have worked on:

  • E2 pages of the unstable adams spectral sequence for spheres. Made using the sseq project, hopefully in the future this could also be done with my own ext resolver.

  • A website and algorithm to calculate Ext over a k-coalgebra. This goal of the algorithm is to aid computations in algebraic topology. This project was done with Jacco Hijmans as a part of our bachelor thesis under supervision of Dr. G.S.K.S. Heuts and Christian Carrick at Utrecht University.

  • A computer program which counts smooth homogeneous polynomials of degree n in $\mathbb{P}^2$ over $\mathbb{F}_p$. The program is split into two parts. First we act with $\mathbb{P}GL_3(\mathbb{F}_p)$ on all degree n homogeneous polynomials to find the isomorphism classes. In the second part we check whether the polynomial is non singular for any (finite) field extension of $\mathbb{F}_p$. Because the degree of our polynomials is fixed, the order of the field extensions are also bounded. This project was done with Jacco Hijmans as a summer project in 2023 under supervision of Prof. Dr. C.F. Faber at Utrecht University.

Talks

  • Seminar Algebraic Stacks 2025, Utrecht Univerisity
  • Seminar Sheaf Theory 2025, Utrecht Univerisity

Visited

  • Interactions between homotopy theory and representation theory 2025, University of Copenhagen
  • EAST 2025, Utrecht University and Radboud University
  • IWoAT Conference 2025, Zhejiang University
  • IWoAT Summer School 2025, Westlake University