Alexander Betts
Postdoctoral Researcher in Mathematics

Contact details

Postal address:
Max-Planck-Institut für Mathematik
Vivatsgasse 7
53111 Bonn
Deutschland
Email: betts[at]mpim[hyphen]bonn[dot]mpg[dot]de

Publications and preprints

Publications

  • 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
    arXiv preprint

Preprints

  • 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
  • On the computation of Tamagawa numbers and Néron component groups of semistable hyperelliptic curves
    arXiv preprint

Selected Talks

  • 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

Other

  • Supplied proof of proposition 6.4. in On sets defining few ordinary lines by Ben Green and Terence Tao
  • Composed three problems used in the Romanian Master of Mathematics competitions (2011 Q5, 2013 Q2, 2015 Q3)