arXiv subjects

Brandon Boggess

Publications and source records attributed to Brandon Boggess.

2 recordsLinked to original sources

arXiv2020

Counting elliptic curves with a rational $N$-isogeny for small $N$

We count the number of rational elliptic curves of bounded naive height that have a rational $N$-isogeny, for $N \in \{2,3,4,5,6,8,9,12,16,18\}$. For some $N$, this is done by generalizing a method of Harron and Snowden. For the remaining cases, we use the framework of Ellenberg, Satriano and Zureick-Brown, in which the naive height of an elliptic curve is the height of the corresponding point on a moduli stack.

math.NT↗

arXiv2016

Splitting Varieties for Cup Products with $\mathbb Z/3$-Coefficients

We connect Veronese embeddings to splitting varieties of cup products. We then give an algorithm for constructing splitting varieties for cup products with $\mathbb Z/n$ coefficients, with an explicit calculation for $n=3$. An application to the automatic realization of Galois groups is given.

math.NT↗