Research

Publications/preprints

• Regular models of hyperelliptic curves, preprint, June 2022.

• A generalisation of the toric resolution of curves, preprint, March 2022.

• A user's guide to the local arithmetic of hyperelliptic curves, preprint, joint work with Alex J. Best, L. Alexander Betts, Matthew Bisatt, Raymond van Bommel, Vladimir Dokchitser, Omri Faraggi, Sabrina Kunzweiler, Céline Maistret, Adam Morgan, and Sarah Nowell, Bull. London Math. Soc., 2022.

• Models and integral differentials of hyperelliptic curves, preprint, March 2020.

• Equivalent statements for the Modularity Theorem for rational elliptic curves, Master's Thesis, July 2018.

• Curve ellittiche e congettura di Birch e Swinnerton-Dyer (Italian), Bachelor's Thesis, July 2016.

Recent talks/seminars

• Regular models of hyperelliptic curves, Linfoot Number Theory Seminars, University of Bristol, 25/05/2022.

• Models of curves over..., "What I have been working on" study group, online, 24/06/2021.

• Curves from Newton polygons, YRM 2021, University of Bristol, 08/06/2021.

• Generalised Baker model of curves, Linfoot Number Theory Seminars, University of Bristol, 28/04/2021.

• Congruent numbers, 2 minute 2 slide, University of Bristol, 16/04/2021.

• Chabauty, Curves study group, online, 12/02/2021.

• BSD for abelian varieties, BSD study group, online, 20/10/2020.

• A fabled pair of triangles, MINGLE 2020, University of Bristol, 24/09/2020.

• Artin map and Weil-Deligne representation, Root numbers study group, University of Bristol, 19/05/2020

• Elliptic surfaces, Pre-Heilbronn study group, University of Bristol, 25/02/2020.

• Integral differentials of hyperelliptic curves, Linfoot Number Theory Seminars, University of Bristol, 13/01/2020.

• Minimal differentials on hyperelliptic curves, Bristol-London workshop, UCL, 05/12/2019.

• p-adic L-functions, Iwasawa theory study group, University of Bristol, 02/12/2019.

• Coleman's effective Chabauty, Classical Chabauty study group, University of Bristol, 15/11/2019.

• Minimal differentials on hyperelliptic curves, Y-RANT 2019, University of Warwick, 07/11/2019.

• Minimal differentials on hyperelliptic curves, workshop Arithmetic of low-dimensional abelian varieties, ICERM, 04/06/2019.

• Intersection theory, Models of curves study group, University of Bristol, 07/03/2019.

• m-Selmer groups, Pre-Heilbronn study group, University of Bristol, 12/02/2019.

• Cassels' theorem, Catalan's conjecture study group, University of Bristol, 14/12/2018.