3 papers
math.CO2026
Counting with two-level polynomials
Tristram Bogart, Kevin Woods
We examine combinatorial counting functions with two parameters, and . For fixed , these functions are (quasi-)polynomial in . As varies, the degree of this polyno…
math.AC2025
Quasipolynomial behavior via constructibility in multigraded algebra
Hailong Dao, Ezra Miller, Jonathan Montaño +2
Piecewise quasipolynomial growth of Presburger counting functions combines with tame persistent homology module theory to conclude piecewise quasipolynomial behavior of constructib…
math.AC2024
Numerical semigroups via projections and via quotients
Tristram Bogart, Christopher O'Neill, Kevin Woods
We examine two natural operations to create numerical semigroups. We say that a numerical semigroup is -normalescent if it is the projection of the set of integer…