27 citations · 139 across the 22 of their papers we have counts for
5 papers · 1 filter
Twice-Marked Banana Graphs & Brill-Noether Generality
Nathan Pflueger, Noah Solomon
We analyze a family of graphs known as banana graphs, with two marked vertices, through the lens of Hurwitz-Brill-Noether theory. As an application, we construct explicit new examp…
An extended Demazure product on integer permutations via min-plus matrix multiplication
Nathan Pflueger
Coxeter groups possess an associative operation, called variously the Demazure, greedy, or 0-Hecke product. For symmetric groups, this product has an amusing formulation, due to Ti…
(Hurwitz-)Brill-Noether general marked graphs via the Demazure product
Nathan Pflueger
This paper gives a novel and compact proof that a metric graph consisting of a chain of loops of torsion order is Brill-Noether general (a theorem of Cools-Draisma-Payne-Robeva…
Linear series with via thrifty lego-building
Nathan Pflueger
The moduli space parameterizing algebraic curves with a linear series of degree and rank has expected relative dimension $ρ= g - (r+…
Weierstrass semigroups from cyclic covers of hyperelliptic curves
Ethan Cotterill, Nathan Pflueger, Naizhen Zhang
The {\it Weierstrass semigroup} of pole orders of meromorphic functions in a point of a smooth algebraic curve is a classical object of study; a celebrated problem of Hurwi…