2 papers
math.AG2020
A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles
David Favero, Daniel Kaplan, Tyler L. Kelly
We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category which does not…
math.AP2018
Spectrum of the Laplacian on Regular Polyhedra
Evan Greif, Daniel Kaplan, Robert S. Strichartz +1
We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube. We show two types of eig…