Spectrum of p-adic linear differential equations II: Variation of the spectrum
Journal of the London Mathematical Society 114 (4), e70718 (2026)
My work explores the Berkovich spectrum of linear differential operators and its relation to radii of convergence, decompositions of differential modules and non-Archimedean analytic geometry. Recent collaborative work also concerns rigidity in tensor categories.
Publications
Bibliography (BibTeX)- 2026
- 2024
Spectrum of p-adic linear differential equations I: the shape of the spectrum
Selecta Mathematica 30, article 13 (2024)
- 2022
Spectrum of a linear differential equation over a field of formal power series
Journal of Number Theory 231, 139–157 (2022)
- 2020
Spectrum of a linear differential equation with constant coefficients
Mathematische Zeitschrift 296, 1613–1644 (2020)
Preprints
- 2026
Local Ocneanu rigidity for separable algebra objects
Preprint, 2026.
Research directions
Wild finite étale coverings
Finite étale coverings of p-adic annuli, in collaboration with Andrea Pulita.
Spectra and decompositions
Spectral methods for p-adic differential modules, and their behaviour under a change of derivation.
Ultrametric operators
Techniques for computing spectra in ultrametric functional analysis.
Doctoral thesis
2018
Spectrum of p-adic differential equations
Université de Montpellier · Institut Montpelliérain Alexander Grothendieck
Supervised by Andrea Pulita and Jérôme Poineau.
Selected talks
More talks in my CV (PDF)- 14 Aug. 2026
The spectrum of p-adic linear differential equations
Invited lecture · International Congress of Basic Science, Beijing
ICBS programme - 6 & 13 Nov. 2025
The variation of the radii of convergence of linear p-adic differential equation
BIMSA Number Theory Lunch Seminar, Beijing
Seminar programme - 27 May 2024
- July 2023