Daniel E. Martin

collaborators

3 papers

math.NT2025

A new proof of Chen's theorem for Markoff graphs

Daniel E. Martin

In 2021, Chen proved a congruence for the degree of a certain map on the space of covers of elliptic curves. He concluded as a corollary that the size of any connected component of…

math.NT2025

Lower bounds on the $ℓ$ -rank of ideal class groups

Daniel E. Martin

For a prime number $ℓ$ and an extension of number fields $K / F$ , we prove new lower bounds on the $ℓ$ -rank of the ideal class group of $K$ based on prime ramification in $K / F$ …

math.CO2023

The number of independent sets in bipartite graphs and benzenoids

Michael Han, Sycamore Herlihy, Kirsti Kuenzel +2

Given a graph $G$ , we study the number of independent sets in $G$ , denoted $i (G)$ . This parameter is known as both the Merrifield-Simmons index of a graph as well as the Fibonacci…

A new proof of Chen's theorem for Markoff graphs

Lower bounds on the ℓ-rank of ideal class groups

The number of independent sets in bipartite graphs and benzenoids

Lower bounds on the $ℓ$ -rank of ideal class groups