Publications (12)
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…
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…
Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids
Leo Digiosia, Jo Nelson, Haoming Ning +2
We obtain new sharp obstructions to symplectic embeddings of four-dimensional polydisks into four-dimensional ellipsoids when and is a half-integ…
Pattern Avoidance in Poset Permutations
Sam Hopkins, Morgan Weiler
We extend the concept of pattern avoidance in permutations on a totally ordered set to pattern avoidance in permutations on partially ordered sets. The number of permutations on $P…
Embedded contact homology of prequantization bundles
Jo Nelson, Morgan Weiler
The 2011 PhD thesis of Farris demonstrated that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a Z/2Z-graded group to the exterior algebra of the homol…