52 citations · 193 across the 24 of their papers we have counts for
32 papers
On the Semigroup of Graph Gonality Sequences
Austin Fessler, David Jensen, Elizabeth Kelsey +1
The th gonality of a graph is the smallest degree of a divisor on the graph with rank . The gonality sequence of a graph is a tropical analogue of the gonality sequence of an…
The embedding theorem in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen, Eric Larson +2
We generalize the Embedding Theorem of Eisenbud-Harris from classical Brill-Noether theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noethe…
Tropical Linear Series and Tropical Independence
David Jensen, Sam Payne
We propose a definition of tropical linear series that isolates some of the essential combinatorial properties of tropicalizations of not-necessarily-complete linear series on alge…
Recent Developments in Brill-Noether Theory
David Jensen, Sam Payne
We briefly survey recent results related to linear series on curves that are general in various moduli spaces, highlighting the interplay between algebraic geometry on a general cu…
Tropical Methods in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen
Splitting type loci are the natural generalizations of Brill-Noether varieties for curves with a distinguished map to the projective line. We give a tropical proof of a theorem of…
A New Lower Bound on Graph Gonality
Michael Harp, Elijah Jackson, David Jensen +1
We define a new graph invariant called the scramble number. We show that the scramble number of a graph is a lower bound for the gonality and an upper bound for the treewidth. Unli…