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Publications and preprints

Last updated: January 2022

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1. Persistence of the Brauer-Manin obstruction for cubic surfaces. (with Carlos Rivera.)
2. Quadratic points on intersections of two quadrics. (with Brendan Creutz.)
3. On the level of modular curves that give rise to isolated j-invariants. (with Abbey Bourdon, Özlem Ejder, Yuan Liu and Frances Odumodu.)
4. The d-primary Brauer-Manin obstruction for curves. (with Brendan Creutz and José Felipe Voloch.)
5. Degree and the Brauer-Manin obstruction. (with Brendan Creutz and an appendix by Alexei N. Skorobogatov.)
6. Abelian n-division fields of elliptic curves and Brauer groups of product Kummer and abelian surfaces. (with Anthony Várilly-Alvarado.)
7. Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces. (with Francesca Balestrieri, Jennifer Berg, Michelle Manes, and Jennifer Park.)
8. Unramified Brauer classes on cyclic covers of the projective plane. (with Colin Ingalls, Andrew Obus, and Ekin Ozman and an appendix by Hugh Thomas.)
9. Evidence for the dynamical Brauer-Manin criterion. (with Ekaterina Amerik, Pär Kurlberg, Khoa Nguyen, Adam Towsley, José Felipe Voloch.)
10. On Brauer groups of double covers of ruled surfaces. (with Brendan Creutz.)
11. On singular moduli for arbitrary discriminants. (with Kristin Lauter.)
12. Denominators of Igusa class polynomials. (with Kristin Lauter.)
13. Smooth compactifications of certain normic bundles. (with Anthony Várilly-Alvarado.)
14. An arithmetic intersection formula for denominators of Igusa class polynomials. (with Kristin Lauter.)
    
15. Two torsion in the Brauer group of a hyperelliptic curve. (with Brendan Creutz.)
16. Computing conjugating sets and automorphism groups of rational functions. (with Xander Faber and Michelle Manes.) Sage implementation of some of the algorithms.
    
17. Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups. (with Anthony Várilly-Alvarado.) Magma scripts.
18. On a uniform bound for the number of exceptional linear subvarieties in the dynamical Mordell-Lang conjecture. (with Joseph H. Silverman.)
    
19. Comparing arithmetic intersection formulas for denominators of Igusa class polynomials. (with Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter, and Jennifer Park.)
    
20. Failure of the Hasse principle for Châtelet surfaces in characteristic 2.
    
21. Higher dimensional analogues of Châtelet surfaces. (with Anthony Várilly-Alvarado.) Corrigendum.
22. Failure of the Hasse principle for Enriques surfaces. (with Anthony Várilly-Alvarado.)
    
23. Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory. (Magma code) (with Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Adriana Salerno, and Erika Wittenborn.)
    
24. A family of varieties with exactly one pointless rational fiber.
    
25. Hilbert schemes of 8 points. (with Dustin A. Cartwright, Daniel Erman, and Mauricio Velasco.)