59 citations · 371 across the 37 of their papers we have counts for
4 papers · 1 filter
Coincidences of homological densities, predicted by arithmetic
Benson Farb, Jesse Wolfson, Melanie Matchett Wood
Motivated by analogies with basic density theorems in analytic number theory, we introduce a notion (and variations) of the homological density of one space in another. We use Weil…
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…
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…
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…