3 papers
math.CO2019
Antichain Simplices
Benjamin Braun, Brian Davis
To each lattice simplex we associate a poset encoding the additive structure of lattice points in the fundamental parallelepiped for . When this poset is an antichain, we sa…
math.CO2018
Predicting the Integer Decomposition Property via Machine Learning
Brian Davis
In this paper we investigate the ability of a neural network to approximate algebraic properties associated to lattice simplices. In particular we attempt to predict the distributi…
math.CO2018
Complete intersection P-partition rings
Brian Davis
We present an alternate proof of a result of Féray and Reiner characterizing posets whose -partition rings are complete intersections. This shortened proof relates the complete…