Nathan Pflueger

Bitangents of tropical plane quartic curves

We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For example, we show that every such curve admits either infinitely many or exactly 7 bitangent lines. We also prove that a smooth tropical plane quartic curve cannot be hyperelliptic.

Genera of Brill-Noether curves and staircase paths in Young tableaux

In this paper, we compute the genus of the variety of linear series of rank

Special divisors on marked chains of cycles

r

Brill–Noether varieties of k-gonal curves

and degree

On linear series with negative Brill-Noether number

d

Graph reductions, binary rank, and pivots in gene assembly

on a general curve of genus

Euler characteristics of Brill-Noether varieties

g

On non-primitive Weierstrass points

, with ramification at least

The Gieseker-Petri theorem and imposed ramification

\alpha

Weierstrass semigroups on Castelnuovo curves

and