5 citations · 6 across the 6 of their papers we have counts for
8 papers
Quadrilateral mutations and symplectic embeddings
Nicki Magill
We study the relationship between almost toric base diagrams, perfect exceptional classes, and optimal ellipsoid embeddings for $H_b=\mathbb{CP}^2_1 \# \overline{\mathbb{CP}\!}\,{}…
Curvy points, the perimeter, and the complexity of convex toric domains
Dan Cristofaro-Gardiner, Nicki Magill, Dusa McDuff
We study the related notions of curvature and perimeter for toric boundaries and their implications for symplectic packing problems in dimension 4; a natural setting for this is a…
A classification of infinite staircases for Hirzebruch surfaces
Nicki Magill, Ana Rita Pires, Morgan Weiler
The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccen…
Four-periodic infinite staircases for four-dimensional polydisks
Caden Farley, Tara Holm, Nicki Magill +4
The ellipsoid embedding function of a symplectic four-manifold measures the amount by which its symplectic form must be scaled in order for it to admit an embedding of an ellipsoid…
Unobstructed embeddings in Hirzebruch surfaces
Nicki Magill
This paper continues the study of the ellipsoid embedding function of symplectic Hirzebruch surfaces parametrized by , the size of the symplectic blow-up. Cristofaro-G…
Staircase Patterns in Hirzebruch Surfaces
Nicki Magill, Dusa McDuff, Morgan Weiler
The ellipsoidal capacity function of a symplectic four manifold measures how much the form on must be dilated in order for it to admit an embedded ellipsoid of eccentricity…
Staircase symmetries in Hirzebruch surfaces
Nicki Magill, Dusa McDuff
This paper continues the investigation of staircases in the family of Hirzebruch surfaces formed by blowing up the projective plane with weight b, that was started in Bertozzi, Hol…
On the regularity of solutions to the generalized Hunter-Saxton system
Jaeho Choi, Nitin Krishna, Nicole Magill +1
The generalized Hunter-Saxton system comprises several well-known models from fluid dynamics and serves as a tool for the study of fluid convection and stretching in one-dimensiona…