31 citations · 208 across the 28 of their papers we have counts for
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math.NT2014★ 1 cited
Distribution of orders in number fields
Nathan Kaplan, Jake Marcinek, Ramin Takloo-Bighash
In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integer…
math.CO2014★ 6 cited
On a Cohen-Lenstra Heuristic for Jacobians of Random Graphs
Julien Clancy, Nathan Kaplan, Timothy Leake +2
In this paper, we make specific conjectures about the distribution of Jacobians of random graphs with their canonical duality pairings. Our conjectures are based on a Cohen-Lenstra…