3 papers
math.NT2022
Stickelberger's discriminant theorem for algebras
Asher Auel, Owen Biesel, John Voight
Stickelberger proved that the discriminant of a number field is congruent to 0 or 1 modulo 4. We generalize this to an arbitrary (not necessarily commutative) ring of finite rank o…
math.AC2021
A Norm Functor for Quadratic Algebras
Owen Biesel
Given commutative, unital rings and with a ring homomorphism making free of finite rank as an -module, we can ask for a "trace" or "norm" homomorphism takin…
math.CO2018
A principle for converting Lindström-type lemmas to Stembridge-type theorems, with applications to walks, groves, and alternating flows
Owen Biesel
We prove that Fomin's generalization of Lindström's lemma for paths on acyclic directed graphs to walks on general directed graphs also generalizes a theorem of Stembridge in the s…