Publications and preprints
Last updated: June 29, 2016

On the level of modular curves that give rise to sporadic jinvariants.
(with
Abbey Bourdon, Özlem Ejder, Yuan Liu and Frances Odumodu.)

The dprimary BrauerManin obstruction for curves.
(with
Brendan Creutz and
José Felipe Voloch.)

Degree and the BrauerManin obstruction.
(with
Brendan Creutz and an appendix by Alexei N. Skorobogatov.)

Abelian ndivision fields of elliptic curves and Brauer groups of product Kummer and abelian surfaces.
(with
Anthony VárillyAlvarado.)

Insufficiency of the BrauerManin obstruction for rational points on Enriques
surfaces.
(with Francesca Balestrieri, Jennifer Berg, Michelle Manes, and Jennifer Park.)

Unramified Brauer classes on cyclic covers of the
projective plane.
(with
Colin Ingalls,
Andrew Obus, and
Ekin Ozman and an appendix by
Hugh Thomas.)
 Evidence for the dynamical BrauerManin criterion. (with
Ekaterina Amerik,
Pär Kurlberg,
Khoa Nguyen,
Adam Towsley,
José Felipe Voloch.)

On Brauer groups of double covers of ruled surfaces.
(with
Brendan Creutz.)

On singular moduli for arbitrary discriminants.
(with
Kristin Lauter.)

Denominators of Igusa class polynomials.
(with
Kristin Lauter.)

Smooth compactifications of certain normic bundles.
(with
Anthony VárillyAlvarado.)

An arithmetic intersection formula for denominators of Igusa
class polynomials.
(with
Kristin Lauter.)

Two torsion in the Brauer group of a hyperelliptic
curve.
(with
Brendan Creutz.)
 Computing
conjugating sets and automorphism groups of rational
functions.
(with Xander
Faber and Michelle
Manes.)
Sage implementation of some of the algorithms.

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups.
(with
Anthony VárillyAlvarado.)
Magma scripts.

On a uniform bound for the number of exceptional linear
subvarieties in the dynamical MordellLang
conjecture.
(with
Joseph H. Silverman.)

Comparing arithmetic intersection formulas for denominators
of Igusa class polynomials.
(with
Jacqueline Anderson,
Jennifer S. Balakrishnan,
Kristin Lauter, and
Jennifer Park.)

Failure of the Hasse principle for Châtelet surfaces
in characteristic 2.

Higher dimensional analogues of Châtelet surfaces.
(with
Anthony VárillyAlvarado.)
Corrigendum.

Failure of the Hasse principle for Enriques surfaces.
(with
Anthony VárillyAlvarado.)

Igusa class polynomials, embeddings of quartic CM
fields, and arithmetic intersection theory.
(Magma code)
(with
Helen Grundman,
Jennifer JohnsonLeung,
Kristin Lauter,
Adriana Salerno,
and Erika Wittenborn.)

A family of varieties with exactly one pointless rational
fiber.

Hilbert schemes of 8 points.
(with
Dustin A. Cartwright,
Daniel Erman,
and
Mauricio Velasco.)