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researcher

Abbey Bourdon

15 papers hereh-index 8224 citations21 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author12

Across the 14 of 15 papers where every author was matched, so the position is known.

fields
  • math.NT15

identity via Semantic Scholar / OpenAlex

activity
20132026
most citedTorsion points and Galois representations on CM elliptic curves

27 citations · 44 across the 10 of their papers we have counts for

collaborators
Showing 2016 · math.NTShow all

2 papers · 2 filters

math.NT2016★ 27 cited

Torsion points and Galois representations on CM elliptic curves

Abbey Bourdon, Pete L. Clark

We prove several results on torsion points and Galois representations for complex multiplication (CM) elliptic curves over a number field containing the CM field. One result comput…

math.NT2016

Torsion subgroups of CM elliptic curves over odd degree number fields

Abbey Bourdon, Paul Pollack

Let GCM​(d) denote the collection of groups (up to isomorphism) that appear as the torsion subgroup of a CM elliptic curve over a degree d number field. We comp…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.