3 citations · 6 across the 15 of their papers we have counts for
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The five-color hypercube Adinkra and the Jacobian of a generalized Fermat curve
Amanda E. Francis, Ursula A. Whitcher
Adinkras are highly structured graphs developed to study 1-dimensional supersymmetry algebras. A cyclic ordering of the edge colors of an Adinkra, or rainbow, determines a Riemann…
Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces
Adriana Salerno, Ursula Whitcher, Chenglong Yu
We use arithmetic and Hodge-theoretic techniques to study pencils of Calabi-Yau varieties realized as highly symmetric hypersurfaces in Grassmannians and their quotients, demonstra…
Mirror constructions for K3 surfaces from bimodal singularities
Makiko Mase, Ursula Whitcher
We study lattice polarizations of five exceptional pairs of families of K3 surfaces obtained via compactifications of strange dual pairs of bimodal singularities. We show that the…
Reflexive Polytopes and Lattice-Polarized K3 Surfaces
Ursula Whitcher
In this expository note, we review the standard formulation of mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, and compare this construction to a description of mi…
Strong arithmetic mirror symmetry and toric isogenies
Christopher Magyar, Ursula Whitcher
We say a mirror pair of Calabi-Yau varieties exhibits strong arithmetic mirror symmetry if the number of points on each variety over a finite field is equivalent, modulo the order…
Classifications of elliptic fibrations of a singular K3 surface
Marie José Bertin, Alice Garbagnati, Ruthi Hortsch +4
We classify, up to automorphisms, the elliptic fibrations on the singular K3 surface whose transcendental lattice is isometric to .