Curriculum Vitae
Publications
 Trace formulas and class number sums, Acta Arith. 132 (2008), no. 4,
301313.
 A bound for the torsion conductor of a nonCM elliptic curve, Proc.
Amer. Math. Soc. 137 (2009), 3743.
 A refined version of the LangTrotter conjecture (joint with
Stephan Baier), Int. Math. Res. Not. IMRN 2009 (2009) no. 3, 433461.
 Averages of elliptic curve constants, Math. Ann. 345 (2009) no. 3,
685710.
 Almost all elliptic curves are Serre curves, Trans. Amer. Math. Soc. 362
(2010), 15471570.
 Appendix to Geometry and arithmetic of verbal dynamical systems on simple
groups, by T. Bandman, F. Grunewald, B. Kunyavskii; in ``Groups, Geometry, and Dynamics'' (a volume
dedicated to W. Magnus) EMS Publishing House, 4 (2010) no. 4, 607655.
 Oneparameter families of elliptic curves over Q with maximal Galois
representations (joint with A.C. Cojocaru and D. Grant), Proc. Lond. Math. Soc. 103 (2011) no. 4,
654675.
 Pairs of elliptic curves with maximal Galois representations, J. Number Theory 133 (2013), 33813393.
 Elliptic aliquot cycles of fixed length, Pacific J. Math. 263 (2013) no. 2, 353371.
 GL_2representations with maximal image, Math. Res. Lett. 22 (2015) no. 3, 803839.
 On primitivity of Dirichlet characters (joint with R. Daileda), International Journal of Number Theory 11 (2015), 19131939.
 Elliptic curves with 2torsion contained in the 3torsion field (joint with J. Brau), Proc. Amer. Math. Soc. 144 (2016), 925936.
 A rigidity phenomenon for power maps, International Mathematics Research Notices 2017 (2017) no. 24, 75517579.
 Missing class groups and class number statistics for imaginary quadratic fields (joint with S. Holmin, P. Kurlberg, C. McLeman and K. Petersen), Experimental Mathematics 28 (2019) no. 2, 233254.
 Constants in Titchmarsh divisor problems for elliptic curves (joint with R. Bell, C. Blakestad, A.C. Cojocaru, A. Cowan, V. Matei, G. Smith, and I. Vogt), Research in Number Theory 6 (2020) no. 1, Art. 1, 24 p.
 A bound for the conductor of an open subgroup of GL2 associated to an elliptic curve, to appear in Pacific J. Math.
 Degree bounds for the projective division fields associated to elliptic modules with a trivial endomorphism ring (joint with A.C. Cojocaru), preprint.
 The LangTrotter Conjecture for products of nonCM elliptic curves (joint with H. Chen and V. Serban), preprint.
 Elliptic curves with nonabelian entanglements (joint with K. McMurdy), preprint.
 The average asymptotic behaviour of the Frobenius fields of an elliptic curve (joint with A.C.
Cojocaru and H. Iwaniec), preprint (to be posted soon).
 Theta functions and modular correspondences, preprint (to be posted soon).
Conferences Organized
Teaching
