Papers, etc...

Published work

Frobenius sign separation for abelian varieties (with Francesc Fité and Kiran S. Kedlaya)
to appear in Proceedings of the American Mathematical Society.
 arxiv
Effective Sato-Tate conjecture for abelian varieties and applications (with Francesc Fité and Kiran S. Kedlaya)
Journal of the European Mathematical Society (JEMS) 26 (2024), 1713-1746.
 journal
Power-saving error terms for the number of D4-quartic extensions over a number field ordered by discriminant (with Alexandra Florea, Allechar Serrano López, and Ila Varma)
Research directions in number theory. Women in numbers V. Banff, Alberta, Canada, November 15-20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, 197-218 (2024).
 book
Research directions in number theory. Women in numbers V. (edited with Wei Ho and Renate Scheidler)
Banff, Alberta, Canada, November 15-20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, (2024), 318+xi pp.
 book
L-functions in arithmetic statistics.
Curves over finite fields: past, present and future virtual conference, May 2021. Paris: Société Mathématique de France (SMF). Panor. Synth. 60, 145-171 (2023)
 book
Geometric generalizations of the square sieve, with an application to cyclic covers (with Alina C. Cojocaru, Matilde Lalín, and Lillian B. Pierce)
Mathematika 69, No. 1, 106-154 (2023).
 journal
Traces, high powers and one level density for families of curves over finite fields (with Edgar Costa, Chantal David, João Guerreiro and David Lowry-Duda)
Math. Proc. Camb. Philos. Soc. 165, No. 2, 225-248 (2018).
 journal
The distribution of Fq-points on l-cyclic covers of genus g of the projective line (with Chantal David, Brooke Feigon, Nathan Kaplan, Matilde Lalín, Ekin Ozman and Melanie Matchett-Wood)
Int. Math. Res. Not. 2016, No. 14, 4297-4340 (2016).
 journal
On a Li-type criterion for zero-free regions of certain Dirichlet series with real coefficients (with Anne-Maria Ernvall-Hytönen, Almasa Odžak, and Lejla Smajlović)
LMS Journal of Computational Mathematics 19(1), 259-280
 journal
An application of the effective Sato-Tate conjecture (with Kiran S. Kedlaya)
Frobenius Distributions: Lang-Trotter and Sato-Tate conjectures, Contemporary Mathematics 663, Amer. Math. Soc., Providence, RI, 2016, 45-56
 book
Statistics for ordinary Artin-Schreier covers and other p-rank strata (with Chantal David, Brooke Feigon and Matilde Lalín)
Trans. Amer. Math. Soc. 368 (2016), no. 4, 2371-2413
 journal
On τ-Li coefficients for certain classes of L-functions (with Anne-Maria Ernvall-Hytönen, Almasa Odžak, Edva Roditty-Gershon, and Lejla Smajlović)
Women in Numbers Europe: Research Directions in Number Theory, AWM Series 2, Springer 2015, 167-190
 book
Women in Numbers Europe: Research Directions in Number Theory (edited with Marie-José Bertin, Brooke Feigon and Leila Schneps)
Association for Women in Mathematics Series 2, Springer International Publishing AG Switzerland, 2015, 205+xiii pp.
 book
Distribution of zeta zeroes of Artin-Schreier covers (with Chantal David, Brooke Feigon, Matilde Lalín and Kaneenika Sinha)
Mathematics Research Letters 19 (2012), no. 6, 1329-1356
 journal
The probability that a complete intersection is smooth (with Kiran S. Kedlaya)
Journal de Théorie des Nombres de Bordeaux 24 (2012), no. 3, 541-556
 journal
Biased statistics for traces of cyclic p-fold covers over finite field (with Chantal David, Brooke Feigon and Matilde Lalín)
in WIN-Women in Numbers, Fields Institute Communications, vol. 60, American Mathematical Sociecty, Providence, RI, 2011, 121-143
 pdf
Moments of quadratic L-functions over the rational function fields (with Adrian Diaconu)
Moscow Mathematical Journal 10 (2010), no. 3, 485-517
 journal
Fluctuations in the number of points on smooth plane curves over finite fields (with Chantal David, Brooke Feigon and Matilde Lalín)
Journal of Number Theory 130 (2010), 2528-2541
 journal
Statistics for traces of cyclic trigonal curves over finite fields (with Chantal David, Brooke Feigon and Matilde Lalín)
International Mathematics Research Notices 2010, no. 5, 932-967
 journal
Nonvanishing twists of GL(2) automorphic L-functions (with Ben Brubaker, Gautam Chinta, Sharon Frechette and Jeffrey Hoffstein)
International Mathematics Research Notices 2004, no. 78, 4211-4239
 journal

Other

Number Theory Notes: taken by Jeff Hoffstein for a course taught by Harold Stark at MIT
They are a wonderful introduction to analytic number theory!
 pdf