Research from WIN – Women in Number Theory

Here we collect papers resulting from WIN conferences beyond those in the proceedings volumes.

Research from WIN

Almost divisibility in the Ihara zeta functions of certain ramified covers of $q+1$-regular graphs Malmskog, Beth; Manes, Michelle. (Linear Algebra Appl. 432 (2010), no. 10, 2486–2506.)

An arithmetic intersection formula for denominators of Igusa class polynomials Kristin Lauter, Bianca Viray (American Journal of Mathematics 137 (2015), no. 2, 497-533)

Arithmetic properties of the Frobenius traces defined by a rational abelian variety Alina Carmen Cojocaru, Rachel Davis, Alice Silverberg, Katherine E. Stange, with two appendices by J-P. Serre. (To appear in International Mathematics Research Notices)

Distribution of zeta zeroes of Artin-Schreier covers Bucur, Alina; David, Chantal; Feigon, Brooke; Lalín, Matilde; Sinha, Kaneenika. (Mathematics Research Letters 19 (2012), no. 6, 1329 - 1356)

Fluctuations in the number of points on smooth plane curves over finite fields Bucur, Alina; David, Chantal; Feigon, Brooke; Lalín, Matilde. (J. Number Theory 130 (2010), no. 11, 2528–2541. )

Generalized Legendre curves and Quaternionic Multiplication Alyson Deines, Jenny G. Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu (To appear in Journal of Number Theory, Special Issue in honor of Wen-Ching Winnie Li)

Generalized Shalika model on SO_{4n}(F), symplectic linear model on Sp_{4n}(F) and theta correspondence Marcela Hanzer

Large Galois images for Jacobian varieties of genus 3 curves Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker, Marusia Rebolledo, Lara Thomas, Núria Vila

On singular moduli for arbitrary discriminants Kristin Lauter, Bianca Viray

p-adic Analogues of Ramanujan Type Formulas for 1/\pi Sarah Chisholm, Alyson Deines, Ling Long, Gabriele Nebe, Holly Swisher (Mathematics 2013, 1(1), 9-30)

Provably weak instances of Ring-LWE Yara Elias, Kristin E. Lauter, Ekin Ozman, Katherine E. Stange (Advanced in Cryptology -- CRYPTO 2015, Lecture Notes in Comput. Sci. vol. 9215, Springer, Heidelberg, 2015, pp.63-92).

Statistics for ordinary Artin-Schreier covers and other p-rank strata A. Bucur, C. David, B. Feigon and M. Lalin (Trans. Amer. Math. Soc., 368 (2016), no. 4, 2371--2413)

Statistics for traces of cyclic trigonal curves over finite fields Bucur, Alina; David, Chantal; Feigon, Brooke; Lalín, Matilde. (Int. Math. Res. Not. IMRN 2010, no. 5, 932–967.)

Zeros of some level 2 Eisenstein series Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie. (Proc. Amer. Math. Soc. 138 (2010), 467-480)