Preprints and Publications

• Ramanujan graphs in cryptography (joint with Anamaria Costache, Kristin Lauter, Maike Massierer and Anna Puskas), In Research Directions in Number Theory: Women in Numbers IV, Association for Women in Mathematics Series, Springer, to appear.

• Periods and nonvanishing of central L-values for GL(2n) (joint with Kimball Martin and David Whitehouse), Israel J. Math., 225(1):223-266, 2018.

• The distribution of F_q-points on cyclic l-covers of genus g (joint with Alina Bucur, Chantal David, Nathan Kaplan, Matilde Lalin, Ekin Ozman and Melanie Matchett Wood), Int. Math. Res. Not., 14 (2016), 4297--4340.

• Statistics for ordinary Artin-Schreier Covers and other p-rank strata (joint with Alina Bucur, Chantal David and Matilde Lalin), Trans. Amer. Math. Soc. 368 (2016), no. 4, 2371--2413.

• Women in Numbers Europe: Research Directions in Number Theory (editor with Marie-Jose Bertin, Alina Bucur and Leila Schneps), Association for Women in Mathematics Series, vol. 2, Springer (2015).

• Explicit construction of Ramanujan bigraphs (joint with Cristina Ballantine, Radhika Ganapathy, Janne Kool, Kathrin Maurischat and Amy Wooding), Women in Numbers Europe: Research Directions in Number Theory, Association for Women in Mathematics Series, vol. 2, Springer (2015), 1--16.

• Distribution of zeta zeroes of Artin-Schreier covers (joint with Alina Bucur, Chantal David, Matilde Lalin and Kaneenika Sinha), Mathematical Research Letters, 19 (2012), no. 6, 1329--1356.

• A relative trace formula for PGL(2) in the local setting, Pacific Journal of Math. (Rogawski Memorial Volume), 260 (2012), no. 2, 395--432.

• On representations distinguished by unitary groups (joint with Erez Lapid and Omer Offen), Publ. Math. Inst. Hautes Etudes Sci., 115 (2012), no. 1, 185--323.

• Biased statistics for traces of cyclic p-fold covers over finite fields (joint with Alina Bucur, Chantal David and Matilde Lalin), WIN--Women in Numbers: Research Directions in Number Theory, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI (2011), 121-143.

• Exact averages of central values of triple product L-functions (joint with David Whitehouse), Int. J. Number Theory, 6 (2010), no. 7, 1609--1624.

• Fluctuations in the number of points on smooth plane curves over finite fields (joint with Alina Bucur, Chantal David and Matilde Lalin), J. Number Theory, 130 (2010), no. 11, 2528--2541.

• Statistics for traces of cyclic trigonal curves over finite fields (joint with Alina Bucur, Chantal David and Matilde Lalin), Int. Math. Res. Not. (2010), no. 5, 932--967.

• Averages of central L-values of Hilbert modular forms with an application to subconvexity (joint with David Whitehouse), Duke Math. J., 149 (2009), no. 2, 347--410.