Preprints and Publications

• On Ramanujan bigraphs and general Ramanujan graphs, with S. Evra, K. Maurischat, O. Parzanchevski, submitted.

• Ramanujan Bigraphs, with S. Evra, K. Maurischat, O. Parzanchevski, submitted.

• Truncated theta series related to the Jacobi Triple Product identity, with C. Ballantine, Discrete Mathematics, to appear.

• Ramanujan graphs in cryptography, with A. Costache, K. Lauter, M. Massierer and A. Puskas, In Research Directions in Number Theory: Women in Numbers IV, Association for Women in Mathematics Series, vol. 19, Springer, 2019, 1-40.

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

• The distribution of F_q-points on cyclic l-covers of genus g, with A. Bucur, C. David, N. Kaplan, M. Lalin, E. Ozman and M. Matchett Wood, Int. Math. Res. Not., 14 (2016), 4297--4340.

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

• Women in Numbers Europe: Research Directions in Number Theory, editor with M.-J. Bertin, A. Bucur and L. Schneps, Association for Women in Mathematics Series, vol. 2, Springer (2015).

• Explicit construction of Ramanujan bigraphs, with C. Ballantine, R. Ganapathy, J. Kool, K. Maurischat and A. 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, with A. Bucur, C. David, M. Lalin and K. 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, with E. Lapid and O. 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, with A. Bucur, C. David and M. 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, with D. Whitehouse, Int. J. Number Theory, 6 (2010), no. 7, 1609--1624.

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

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

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