Hello! I am a soon-to-graduate PhD student, researching arithmetic geometry at KU Leuven under the supervision of Johannes Nicaise, as part of a PhD funded by FWO fellowship 11F0121N and research project G0B1721N.
Here is my cv and current research statement.
e-mail: art (dot) waeterschoot (at) kuleuven (dot) be
Research interests: wild ramification, nonarchimedean geometry, arithmetic curves. I am particularly interested in studying arithmetic invariants attached to degenerations of algebraic varieties, like conductors and differents, using methods from algebraic, logarithmic and nonarchimedean geometry.
My phd thesis (forthcoming end 2024) contains new p-adic analytic Riemann-Hurwitz formulae (building on work of Temkin and Mustata-Nicaise), using potential theory on Berkovich curves. As an application we develop a new technique in the study of reduction types and wildly ramified base change.
I also like to engage in mathematical outreach, currently I contribute to projects like KU Leuven's summer of science and VWO.
publications
Jumps of Jacobians via orthogonal canonical forms. (with Michaël Maex and Enis Kaya), to appear in proceedings of the AMS.
preprints
The different for covers of arithmetic curves. in preparation
see research page for abstracts of some ongoing projects.
slides and posters
poster on my work on 'the different for covers of arithmetic curves', for this school in 2024
slides on 'pullback of weight functions and logarithmic differents' for SFB NATROP 2022
slides for an expository talk on weight functions on berkovich curves for YRANT 2021
various other writings can be found here: material for study groups (co-)organised
