59 citations · 371 across the 37 of their papers we have counts for
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math.NT2016★ 29 cited
On -torsion in class groups of number fields
Jordan Ellenberg, Lillian B. Pierce, Melanie Matchett Wood
For each integer , we prove an unconditional upper bound on the size of the -torsion subgroup of the class group, which holds for all but a zero-density set of f…
math.NT2016★ 15 cited
Nonabelian Cohen-Lenstra Heuristics over Function Fields
Nigel Boston, Melanie Matchett Wood
Boston, Bush, and Hajir have developed heuristics, extending the Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups of the maximal unramified pro-p ext…
math.NT2016
A heuristic for boundedness of ranks of elliptic curves
Jennifer Park, Bjorn Poonen, John Voight +1
We present a heuristic that suggests that ranks of elliptic curves over the rationals are bounded. In fact, it suggests that there are only finitely many elliptic curves of rank gr…