3 citations · 6 across the 15 of their papers we have counts for
19 papers
Hypergeometric decomposition of Delsarte K3 pencils
Rachel Davis, Jessamyn Dukes, Thais Gomes Ribeiro +4
We study five pencils of projective quartic Delsarte K3 surfaces. Over finite fields, we give explicit formulas for the point counts of each family, written in terms of hypergeomet…
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…
Branch cuts: writing, editing, and ramified complexities
Ursula Whitcher
As I was preparing my tenure application, the University of Wisconsin Board of Regents voted to redefine tenure, removing many of the institution's historical protections. Reevalua…
Hasse--Witt matrices and mirror toric pencils
Adriana Salerno, Ursula Whitcher
Mirror symmetry suggests unexpected relationships between arithmetic properties of distinct families of algebraic varieties. For example, Wan and others have shown that for some mi…