Alexander Betts
Postdoctoral Researcher in Mathematics
Contact details
Postal address:
Department of Mathematics
Harvard University
1 Oxford Street
Cambridge, MA 02138
Email:
abetts[at]math[dot]harvard[dot]edu
Publications and preprints
Publications
- Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction To appear in Journal of Number Theory arXiv preprint
- Variation of Tamagawa numbers of semistable abelian varieties in field extensions (with V. Dokchitser and A. Morgan) Math. Proc. Cam. Phil. Soc., 116(2019), pp487--521 doi:10.1017/S0305004118000075 arXiv preprint
Preprints
- A User's Guide to the Local Arithmetic of Hyperelliptic Curves (with A. Best, M. Bisatt, R. van Bommel, V. Dokchitser, O. Faraggi, S. Kunzweiler, A. Morgan, S. Muselli and S. Nowell) arXiv preprint
- The local theory of unipotent Kummer maps and refined Selmer schemes (with N. Dogra) arXiv preprint
- Semisimplicity and weight--monodromy for fundamental groups (with D. Litt) arXiv preprint
- The motivic anabelian geometry of local heights on abelian varieties arXiv preprint
Selected Talks
- Galois sections and the Lawrence--Venkatesh method Queen Mary University Online Number Theory Seminar, 2020 Video | Slides
- Weight filtrations on Selmer schemes and effective non-abelian Chabauty Online 'Selminar' on Selmer Schemes, 2020 Video | Slides
- Weight--monodromy and canonical paths on varieties Paris 6&7 Number Theory Seminar, 2020
- Non-abelian Kummer maps for curves Frankfurt Number Theory Seminar, 2019
- The Chabauty--Kim method Three-lecture mini-course at Paris 6, 2018
- Iterated integrals, Green's functions and fundamental groups Bristol Linfoot Number Theory Seminar, 2017
- Computing Tamagawa numbers of hyperelliptic curves ICTP Workshop on Hyperelliptic Curves, 2017 Slides
- Local heights on abelian varieties via non-abelian Bloch–Kato Selmer sets BIRS Workshop on Nilpotent Fundamental Groups, 2017 Video
- Non-abelian Bloch–Kato Selmer sets and an application to heights on abelian varieties 3rd Workshop on Interactions between Homotopy and Arithmetic, 2017 Slides | Handout