Nathan Nicholson

collaborators

3 papers

math.CO2023

The Generalized Terwilliger Algebra of the Hypercube

Nathan Nicholson

In the year 2000, Eric Egge introduced the generalized Terwilliger algebra $T$ of a distance-regular graph $Γ$ . For any vertex $x$ of $Γ,$ there is a surjective algebra ho…

math.AG2021

The maximum likelihood degree of sparse polynomial systems

Julia Lindberg, Nathan Nicholson, Jose Israel Rodriguez +1

We consider statistical models arising from the common set of solutions to a sparse polynomial system with general coefficients. The maximum likelihood degree counts the number of…

math.GR2021

Difference sets disjoint from a subgroup II: groups of order $4 p^{2}$

Stephen P. Humphries, Nathan L. Nicholson

We study finite groups $G$ having a normal subgroup $H$ and $D \subset G ∖ H, D \cap D^{- 1} = \emptyset,$ such that the multiset ${x y^{- 1} : x, y \in D}$ has every non-identi…

The Generalized Terwilliger Algebra of the Hypercube

The maximum likelihood degree of sparse polynomial systems

Difference sets disjoint from a subgroup II: groups of order 4p2

Difference sets disjoint from a subgroup II: groups of order $4 p^{2}$