Benjamin C. Ward

activity

20172021

collaborators

4 papers

math.NT2021

Counting rational points close to $p$ -adic integers and applications in Diophantine approximation

Benjamin Ward

We find upper and lower bounds on the number of rational points that are $ψ$ -approximations of some $n$ -dimensional $p$ -adic integer. Lattice point counting techniques are used to…

math.AT2020

Toward a minimal model for $H_{*} (M)$

Ben C. Ward

The modular operad $H_{*} (M_{g, n})$ of the homology of Deligne-Mumford compactifications of moduli spaces of pointed Riemann surfaces has a minimal model gove…

math.AT2019

Massey products for graph homology

Benjamin C. Ward

This paper shows that the operad encoding modular operads is Koszul. Using this result we construct higher composition operations on (hairy) graph homology which characterize its r…

math.QA2017

Gravity Formality

Ricardo Campos, Benjamin C. Ward

We show that Willwacher's cyclic formality theorem can be extended to preserve natural Gravity operations on cyclic multivector fields and cyclic multidifferential operators. We ex…

Counting rational points close to p-adic integers and applications in Diophantine approximation

Toward a minimal model for H∗​(M)

Massey products for graph homology

Gravity Formality

Counting rational points close to $p$ -adic integers and applications in Diophantine approximation

Toward a minimal model for $H_{*} (M)$