5 papers
The sum-product problem for small sets II
Phillip Antis, Holden Britt, Caleigh Chapman +3
We establish that every set of natural numbers determines at least distinct pairwise sums or at least distinct pairwise products, as well as the analogous result f…
Notes and computations on forbidden differences
Christian Dean, Haley Havard, Elizabeth Hawkins +3
We explore from several perspectives the following question: given and , what is the maximum size of …
A type-theoretic approach to semistrict higher categories
Alex Rice
Weak -categories are known to be more expressive than their strict counterparts, but are more difficult to work with, as constructions in such a category involve the manipu…
Determinants of Seidel Tournament Matrices
Sarah Klanderman, MurphyKate Montee, Andrzej Piotrowski +2
The Seidel matrix of a tournament on players is an skew-symmetric matrix with entries in that encapsulates the outcomes of the games in the given tou…
The Furstenberg-Sárközy theorem for polynomials in one or more prime variables
John R. Doyle, Alex Rice
We establish upper bounds on the size of the largest subset of lacking nonzero differences of the form , where $h\in \mathbb{Z}[x_1,\dots,x…