I am a PhD student in mathematics at Københavns Universitet under the supervision of Søren Galatius.

Research Interests

I am interested in interactions between algebraic topology and algebraic geometry. My current work focuses on using homotopy theoretic methods to uncover homological stability phenomena for moduli spaces coming from complex algebraic geometry. More broadly, I am also interested in moduli spaces of manifolds, embedding calculus and other applications of homotopy theory to geometry. I can occasionally be seen daydreaming about point counting and enumerative geometry.

Preprints

• An h-principle for complements of discriminants. Summary: I investigate the homology of spaces of non-singular algebraic sections of vector bundles on smooth complex projective varieties. In a range, the homology is shown to be that of a more tractable object: continuous sections of an associated bundle. This allows computations using the homotopical arsenal. You can see me on YouTube talk about this work during the workshop on configuration spaces at the University of Copenhagen.

Talks

• (13th April 2022) Representation Theory / Number Theory Seminar, Utah.
• (17th March 2022) Geometric Structures Research Seminar, SISSA, Trieste.
• (23rd February 2022) Purdue Topology Seminar, Purdue.
• (18th November 2021) Homology and Homotopy of Configuration Spaces, Copenhagen.

Teaching

• Geometric Topology, 2021-2022 (Master’s course, University of Copenhagen) – Teaching assistant.
• Topics in Mathematics for the Travelling Student, 2021-2022 (in French, University of Copenhagen) – Lecturer. (See the webpage for more.)
• Algebraic Topology 1.5, 2020-2021 (Master’s course, University of Copenhagen) – Teaching assistant.
• Algebraic Topology 1, 2020-2021 (Master’s course, University of Copenhagen) – Teaching assistant.
• Topology, 2019-2020 (Bachelor’s course, University of Copenhagen) – Teaching assistant.