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Craig Costello

2 papers hereh-index 11 citations3 works total

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

author position
  • first author2

Across the 2 of 2 papers where every author was matched, so the position is known.

fields
  • math.NT2

identity via Semantic Scholar / OpenAlex

most citedCycles of supersingular elliptic curves for pairing-based proof systems

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2026★ 1 cited

Cycles of supersingular elliptic curves for pairing-based proof systems

Craig Costello, Gaurish Korpal

We give new constructions of cycles of pairing-friendly elliptic curves with a view towards unbounded recursive pairing-based proof systems. Unlike the only known prior cycle of el…

math.NT2026

On pairs of primes with small order reciprocity

Craig Costello, Gaurish Korpal

We give a sieving algorithm for finding pairs of primes with small multiplicative orders modulo each other. This problem is a necessary condition for obtaining constructions of 2…

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