Alexander Betts' webpage

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)