3 papers
math.AG2024
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…
math.NT2016
Origami Constructions of Rings of Integers of Imaginary Quadratic Fields
Juergen Kritschgau, Adriana Salerno
In the making of origami, one starts with a piece of paper, and through a series of folds along seed points one constructs complicated three-dimensional shapes. Mathematically, one…
math.NT2012
The Dwork Family and Hypergeometric Functions
Adriana Salerno
In his work studying the Zeta functions of families of hypersurfaces, Dwork came upon a one-parameter family of hypersurfaces (now known as \emph{the} Dwork family). These examples…