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Don't hesitate to get in touch to discuss possible PhD projects if you are interested in computational number theory and arithmetic geometry, in particular the arithmetic of elliptic and hyperelliptic curves, the Birch--Swinnerton-Dyer conjecture and the parity conjecture
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8092 RF\ERE\210398 Royal Society research fellows Enhanced Research Expneses - Celine Maistret
1/04/21 → 31/03/23
Project: Research
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Arithmetic of hyperelliptic curves over local fields
Maistret, C., Dokchitser, T., Dokchitser, V. & Morgan, A., 15 Nov 2022, (Accepted/In press) In: Mathematische Annalen.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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A user's guide to the local arithmetic of hyperelliptic curves
Best, A. J., Betts, L. A., Bisatt, M., Bommel, R. V., Dokchitser, V., Faraggi, O., Kunzweiler, S., Maistret, C., Morgan, A., Muselli, S. & Nowell, S., 5 May 2022, (E-pub ahead of print) In: Bulletin of the London Mathematical Society. 54, 3, p. 825-867 43 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile3 Citations (Scopus)41 Downloads (Pure) -
2-parity conjecture for elliptic curves with isomorphic 2-torsion
Maistret, C. & Green, H., 1 Oct 2021, (Submitted) In: --.Research output: Contribution to journal › Article (Academic Journal) › peer-review