31 citations · 208 across the 28 of their papers we have counts for
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math.CO2016★ 7 cited
Counting Arcs in Projective Planes via Glynn's Algorithm
Nathan Kaplan, Susie Kimport, Rachel Lawrence +2
An -arc in a projective plane is a collection of distinct points in the plane, no three of which lie on a line. Formulas counting the number of -arcs in any finite projec…
math.CO2016★ 5 cited
Counting Finite Index Subrings of
Stanislav Atanasov, Nathan Kaplan, Benjamin Krakoff +1
We count subrings of small index of , where the addition and multiplication are defined componentwise. Let denote the number of subrings of index . For an…
math.NT2016★ 20 cited
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Jennifer S. Balakrishnan, Wei Ho, Nathan Kaplan +3
Most systematic tables of data associated to ranks of elliptic curves order the curves by conductor. Recent developments, led by work of Bhargava-Shankar studying the average sizes…