62 citations · 186 across the 23 of their papers we have counts for
26 papers
New constraints on Lagrangian embeddings and the shape invariant
Richard Hind, Ely Kerman
For a large class of toric domains in we determine which product Lagrangian tori can be mapped into the domain by a Hamiltonian diffeomorphism. In other words, we co…
On the symplectic capacity and mean width of convex bodies
Jonghyeon Ahn, Ely Kerman
In this note we consider two topics involving the relationship between the symplectic capacity and the mean width of convex bodies in . We first describe an altern…
Symplectic variations of convex bodies and the mean width
Jonghyeon Ahn, Ely Kerman
In this work, we study convex bodies in $\RR^{2n}$ with the property that their mean width cannot be infinitesimally decreased by symplectomorphisms. The common theme of our result…
Topological data analysis reveals differences between simulated galaxies and dark matter haloes
Aaron Ouellette, Gilbert Holder, Ely Kerman
We use topological summaries based on Betti curves to characterize the large-scale spatial distribution of simulated dark matter haloes and galaxies. Using the IllustrisTNG and CAM…
Packing Lagrangian tori
Richard K. Hind, Ely Kerman
In this paper we consider the problem of packing a symplectic manifold with integral Lagrangian tori, that is Lagrangian tori whose area homomorphsims take only integer values. We…
On symplectic capacities and their blind spots
Ely Kerman, Yuanpu Liang
In this paper we settle three basic questions concerning the Gutt-Hutchings capacities. Our primary result settles a version of the recognition question in the negative. We prove t…