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math.NT2012
Period Computations for Covers of Elliptic Curves
Simon Rubinstein-Salzedo
In this article, we construct algebraic equations for a curve C and a map f to an elliptic curve E, with pre-specified branching data. We do this by determining certain relations t…
math.AG2012
Covers of Elliptic Curves with Unique, Totally Ramified Branch Points
Simon Rubinstein-Salzedo
A well-known and difficult problem in computational number theory and algebraic geometry is to write down equations for branched covers of algebraic curves with specified monodromy…
math.NT2012
Invariants for A4 fields and the Cohen-Lenstra heuristics
Simon Rubinstein-Salzedo
This article discusses deviations from the Cohen-Lenstra heuristics when roots of unity are present. In particular, we propose an explanation for the discrepancy between the observ…