6 citations · 8 across the 8 of their papers we have counts for
9 papers
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…
Moduli Theory of the -Braid Arrangement
Vance Blankers, Emily Clader, Iva Halacheva +2
We describe a family of hyperplane arrangements depending on a positive integer parameter , which we refer to as the -braid arrangements, and which can be viewed as a general…
On compactifications of with colliding markings
Vance Blankers, Sebastian Bozlee
In this paper, we study all ways of constructing modular compactifications of the moduli space of -pointed smooth algebraic curves of genus by allowing m…
Extremality of Rational Tails Boundary Strata in
Vance Blankers
We review and develop some techniques used to investigate the effective cones of higher codimension classes. Our results show that a large collection of boundary strata of rational…
Wall-crossings for Hassett descendant potentials
Vance Blankers, Renzo Cavalieri
This paper solves the combinatorics relating the intersection theory of -classes of Hassett spaces to that of . A generating function for intersect…
Julia and Mandelbrot sets for dynamics over the hyperbolic numbers
Vance Blankers, Tristan Rendfrey, Aaron Shukert +1
Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of thes…
Witten's conjecture and recursions for classes
Vance Blankers, Renzo Cavalieri
We construct a countable number of differential operators that annihilate a generating function for intersection numbers of classes on $\Moduli_g$ (the -potentia…
Hyperelliptic classes are rigid and extremal in genus two
Vance Blankers
We show that the class of the locus of hyperelliptic curves with marked Weierstrass points, marked conjugate pairs of points, and free marked points is rigid and ext…
Intersections of classes in
Vance Blankers, Renzo Cavalieri
We provide a graph formula which describes an arbitrary monomial in ω classes (also referred to as stable ψ classes) in terms of a simple family of dual graphs (pinwheel graphs) wi…