Mathematics · LMNO · Caen, France
Numbers.
Shapes.
Connections.
I’m Robert Wilms. I study arithmetic geometry: heights, intersection numbers and the geometry hidden in algebra.
Postdoctoral researcher at Université de Caen Normandie.
Since 2025, I have been the principal investigator of the ERDF project MERCI (Mesure et recherche de la complexité par intersection), funded by Région Normandie.
Read the MERCI poster (PDF, French) ↗
Start with
the papers.
Publications, preprints and the mathematics connecting them.
→02 / MATHS LABChoose a question.
Try an experiment.
Explore complexity, arithmetic heights, polynomial zeros and bounds.
→03 / TEACHINGTake a seat
at the board.
Course notes, exercises and two stories from my topology lectures.
→04 / ABOUTA mathematician
in Caen.
My background, the MERCI project and ways to get in touch.
→A uniform lower bound for the Zhang–Kawazumi invariant
A strict bound in every genus, stronger for hyperelliptic surfaces, with new bounds for arithmetic self-intersections and uniform Bogomolov height thresholds.