9 citations · 31 across the 12 of their papers we have counts for
12 papers
Crepant resolutions, mutations, and the space of potentials
Mary Barker, Benjamin Standaert, Ben Wormleighton
The McKay correspondence has had much success in studying resolutions of 3-fold quotient singularities through a wide range of tools coming from geometry, combinatorics, and repres…
Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces
Julian Chaidez, Ben Wormleighton
We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include s…
Bounds on the Picard rank of toric Fano varieties with minimal curve constraints
Roya Beheshti, Ben Wormleighton
We study the Picard rank of smooth toric Fano varieties possessing families of minimal rational curves of given degree. We discuss variants of a conjecture of Chen-Fu-Hwang and pro…
Wall-crossing for iterated Hilbert schemes (or 'Hilb of Hilb')
Ben Wormleighton
We study wall-crossing phenomena in the McKay correspondence. Craw-Ishii show that every projective crepant resolution of a Gorenstein abelian quotient singularity arises as a modu…
Lattice Formulas For Rational SFT Capacities
Julian Chaidez, Ben Wormleighton
We initiate the study of the rational SFT capacities of Siegel using tools in toric algebraic geometry. In particular, we derive new (often sharp) bounds for the RSFT capacities of…
Towers of Looijenga pairs and asymptotics of ECH capacities
Ben Wormleighton
ECH capacities are rich obstructions to symplectic embeddings in 4-dimensions that have also been seen to arise in the context of algebraic positivity for (possibly singular) proje…