Hi, I am a research fellow at the KU Leuven Mathematics Department, Algebra Section. My research focuses on arithmetic geometry, more specifically on the interactions of nonarchimedean & tropical geometry. I am also active in mathematics outreach and education.
I am looking for academic research positions starting from academic year 2026-27. Here is my cv: [pdf]
contact: art (dot) waeterschoot (at) kuleuven (dot) be
Here is another picture of me, taken not so long after the one on the right.
Research interests:
I am interested in the tropical nature of nonarchimedean skeleta, especially in arithmetic settings. Concretely, I want to improve our understanding of the retraction to the Berkovich skeleton, by explicitly computing tropical shadows of various objects such as forms, currents, cohomology, cycles, coefficients, ...
In my PhD thesis (see below) I developed a tropical Poincaré-Lelong formalism on skeleta and obtained applications to wild ramification problems for arithmetic curves. I am also interested in logarithmic geometry, motivic integration and explicit Arakelov theory.
I am interested in starting new research collaborations, feel free to reach out.
Papers
4. Monodromy degree of temperate reduction curves. preprint [pdf]
3. The different for base change of arithmetic curves. preprint [ArXiv link]
2. Harmonic covers of skeleta. submitted. [ArXiv link]
1. Jumps of Jacobians via orthogonal canonical forms. published. (joint with Michaël Maex and Enis Kaya), Proc. Amer. Math. Soc. 153 (2025), 947-961, [Journal/DOI link] [ArXiv link]
PhD Thesis
I defended my PhD thesis in June 2025. It contains papers 1-4 above along with background material.
Title: 'Harmonic covers of skeleta and wildly ramified curves'. full text here: [pdf]
Supervisor: Prof. Dr. Johannes Nicaise (KU Leuven)
Here are the slides of the public phd defense, intended for a general audience (beware of simplifications!)
slides, posters, expository notes
slides: 'on a family of 2-dimensional wild quotient singularities' (CAGE, september 2025)
poster: 'harmonic covers of Berkovich skeleta' (CIRM, january 2025)
poster: 'the different function for covers of arithmetic curves' (Heidelberg, 2023)
slides: 'pullback of weight functions and logarithmic differents'. (Regensburg, 2022)
