David Zureick-Brown

activity

20122026

most citedSporadic Cubic Torsion

44 citations · 124 across the 20 of their papers we have counts for

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Showing 2014 · math.NTShow all

2 papers · 2 filters

math.NT2014★ 5 cited

A heuristic for the distribution of point counts for random curves over a finite field

Jeffrey D. Achter, Daniel Erman, Kiran S. Kedlaya +2

How many rational points are there on a random algebraic curve of large genus $g$ over a given finite field $F_{q}$ ? We propose a heuristic for this question motivated by a…

math.NT2014

Elliptic curves over $Q$ and 2-adic images of Galois

Jeremy Rouse, David Zureick-Brown

We give a classification of all possible $2$ -adic images of Galois representations associated to elliptic curves over $Q$ . To this end, we compute the 'arithmetically maxi…

A heuristic for the distribution of point counts for random curves over a finite field

Elliptic curves over Q and 2-adic images of Galois

Elliptic curves over $Q$ and 2-adic images of Galois