3 papers
math.CO2016
A Direct Construction of Non-Transitive Dice Sets
Levi Angel, Matt Davis
In this paper, we give a direct construction for a set of dice realizing any given tournament . The construction for a tournament with vertices requires a number of sides on…
math.CO2014
Voting for Committees in Agreeable Societies
Matt Davis, Michael E. Orrison, Francis Edward Su
We examine the following voting situation. A committee of people is to be formed from a pool of n candidates. The voters selecting the committee will submit a list of candi…
math.RT2011
Representations of Rank Two Affine Hecke Algebras at Roots of Unity
Matt Davis
In this paper, we will fully describe the representations of the crystallographic rank two affine Hecke algebras using elementary methods, for all possible values of q. The focus i…