32 citations · 69 across the 20 of their papers we have counts for
13 papers · 1 filter
Degenerations in tropical compactifications and tropical intersection theory of
Sean T. Griffin, Jake Levinson, Rohini Ramadas +1
The main result of this paper is a formula for the limit cycle of a 1-parameter family of subvarieties of a tropical compactification, expressed in terms of tropical intersections.…
Fundamental groups of moduli spaces of real weighted stable curves
Jake Levinson, Haggai Liu
The ordinary and -equivariant fundamental groups of the moduli space of real -marked stable curves of genus are known as \emph{ca…
Rational Curves in Projective Toric Varieties
Nathan Ilten, Jake Levinson
We study embedded rational curves in projective toric varieties. Generalizing results of the first author and Zotine for the case of lines, we show that any degree rational cur…
Products of boundary classes on M_0,n-bar via balanced weights
Maria Gillespie, Jake Levinson
In this note, we give a simple closed formula for an arbitrary product, landing in dimension 0, of boundary classes on the Deligne--Mumford moduli space M_0,n-bar. For any such bou…
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors
Jake Levinson, David Stapleton, Brooke Ullery
In this paper we study the degrees of irrationality of hypersurfaces of large degree in a complex projective variety. We show that the maps computing the degrees of irrationality o…
A proof of a conjecture by Monin and Rana on equations defining
Maria Gillespie, Sean T. Griffin, Jake Levinson
Monin and Rana conjectured a set of equations defining the image of the moduli space under an embedding into due…
Degenerations and multiplicity-free formulas for products of and classes on
Maria Gillespie, Sean T. Griffin, Jake Levinson
We consider products of classes and products of classes on . For each product, we construct a flat family of subschemes of whos…
Springer fibers and the Delta Conjecture at
Sean T. Griffin, Jake Levinson, Alexander Woo
We introduce a family of varieties , which we call the \emph{-Springer varieties}, that generalize the type A Springer fibers. We give an explicit presentation of the…
A Cayley-Bacharach theorem and plane configurations
Jake Levinson, Brooke Ullery
In this paper, we examine linear conditions on finite sets of points in projective space implied by the Cayley-Bacharach condition. In particular, by bounding the number of points…
Class groups of open Richardson varieties in the Grassmannian are trivial
Jake Levinson, Kevin Purbhoo
We prove that the divisor class group of any open Richardson variety in the Grassmannian is trivial. Our proof uses Nagata's criterion, localizing the coordinate ring at a suitable…
A topological proof of the Shapiro-Shapiro conjecture
Jake Levinson, Kevin Purbhoo
We prove a generalization of the Shapiro-Shapiro conjecture on Wronskians of polynomials, allowing the Wronskian to have complex conjugate roots. We decompose the real Schubert cel…
Foundations of Boij-Söderberg Theory for Grassmannians
Nic Ford, Jake Levinson
Boij-Söderberg theory characterizes syzygies of graded modules and sheaves on projective space. This paper continues earlier work with S. Sam, extending the theory to the setting o…
One-dimensional Schubert problems with respect to osculating flags
Jake Levinson
We consider Schubert problems with respect to flags osculating the rational normal curve. These problems are of special interest when the osculation points are all real -- in this…