Dr Celine Maistret
PhD, BSc
Current positions
Royal Society Dorothy Hodgkin Fellow and Proleptic Senior Lecturer
School of Mathematics
Contact
Press and media
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Research interests
My research centres on the Birch–Swinnerton-Dyer conjecture and the parity phenomena it predicts. I am particularly interested in the local arithmetic of curves and their Jacobians: understanding and explicitly computing the invariants that enter these conjectures, such as Tamagawa numbers, conductors, root numbers and local parity terms.
Projects and supervisions
Research projects
Arithmetic essence of curves and the Birch and Swinnerton-Dyer conjecture
Principal Investigator
Managing organisational unit
School of MathematicsDates
30/09/2026 to 29/09/2029
Research Fellows Enhanced Research Expenses 2023 - RF\ERE\231104
Principal Investigator
Managing organisational unit
School of MathematicsDates
01/01/2024 to 31/12/2026
Mordell 2022 - a centenary of elliptic curves
Principal Investigator
Managing organisational unit
School of MathematicsDates
15/08/2022 to 19/08/2022
Elliptic Curve Graduate School
Principal Investigator
Description
The aim of the school is to give an overview of established results and current research on elliptic curves by covering the whole spectrum of techniques developed so far.Managing organisational unit
School of MathematicsDates
08/08/2022 to 12/08/2022
8092 RF\ERE\210398 Royal Society research fellows Enhanced Research Expneses - Celine Maistret
Principal Investigator
Managing organisational unit
School of MathematicsDates
01/04/2021 to 31/03/2023
Publications
Recent publications
01/03/2025Computing Euler factors of genus 2 curves at odd primes of almost good reduction
Research in Number Theory
On the parity conjecture for abelian surfaces
Proceedings of the London Mathematical Society
Arithmetic of hyperelliptic curves over local fields
Mathematische Annalen
A user's guide to the local arithmetic of hyperelliptic curves
Bulletin of the London Mathematical Society