32 citations · 69 across the 20 of their papers we have counts for
25 papers
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.…
Sign-reversing involutions in moduli spaces of curves
Vance Blankers, Maria Gillespie, Jake Levinson
We use sign-reversing involutions to solve two computational problems that arise naturally in the geometry of moduli spaces of curves. In particular, we give an explicit combinator…
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…