
A.C. Cojocaru and M. Papikian,
Finite Drinfeld modules with large exponents,
manuscript in preparation, currently 8 pages.

A. Bucur, A.C. Cojocaru, M. Lalin and L. Pierce,
On a geometric sieve and applications,
manuscript in preparation, currently 21 pages.

M. Bhargava, A.C. Cojocaru, and F. Thorne,
The number of nonmaximal quintic extensions of bounded discriminant,
16 pages, manuscript under final revision (available upon request).

A.C. Cojocaru, Á. Tóth and F. Voloch,
Squarefree orders for the reductions of an elliptic curves over a function field,
10 pages, manuscript under final revision (available upon request).

A.C. Cojocaru, H. Iwaniec and N. Jones,
The average asymptotic behaviour of the Frobenius fields of an elliptic curve,
51 pages, manuscript under final revision (available upon request).

A.C. Cojocaru, R. Davis, A. Silverberg and K.E. Stange,
Arithmetic properties of the Frobenius traces defined by a rational abelian variety,
with two appendices by JP. Serre, August 2015;
pdf on arxiv

A.C. Cojocaru and A.M. Shulman,
The distribution of the first elementary divisor of the reductions of a generic Drinfeld module of arbitrary rank,
Canadian Journal of Mathematics, February 2015;
pdf

A.C. Cojocaru and M. Papikian,
Drinfeld modules, Frobenius endomorphisms, and CM liftings,
International Mathematics Research Notices, October 2014;
pdf

A.C. Cojocaru and A.M. Shulman,
An average Chebotarev density theorem for generic rank 2 Drinfeld modules with complex multiplications,
Journal of Number Theory 133, 2013, pp. 897914;
pdf

A.C. Cojocaru and Á. Tóth,
The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field,
Journal of Number Theory 132, 2012, pp. 953965;
pdf
(Note that in the journal version, the second part of Theorem 2 should be ignored.)

A.C. Cojocaru, D. Grant and N. Jones,
Oneparameter families of elliptic curves over Q with maximal Galois representations,
Proceedings of the London Mathematical Society, 2011, 103(4), pp. 654675;
pdf

A. Balog, A.C. Cojocaru and C. David,
Average twin prime conjecture for elliptic curves,
American Journal of Mathematics, vol. 133, No. 5, 2011, pp. 11791229;
pdf

A.C. Cojocaru and I.E. Shparlinski,
On the embedding degree of the reductions of an elliptic curve,
Inform. Proc. Letters vol 109, 2009, pp. 652654

A.C. Cojocaru, F. Luca and I.E. Shparlinski,
Pseudoprime reductions of elliptic curves,
Mathematical Proceedings of Cambridge Philos. Soc. vol 146, 2009, pp. 513522

A.C. Cojocaru and C. David,
Frobenius fields for elliptic curves,
American Journal of Mathematics 130, no 6, 2008, pp. 15351560;
pdf

A.C. Cojocaru,
Squarefree orders for CM elliptic curves modulo p,
Mathematische Annalen 342, no 3, 2008, pp. 587615;
pdf

A.C. Cojocaru and C. David,
Frobenius fields for Drinfeld modules of rank 2,
Compositio Mathematica, vol 144, part 4, 2008, pp. 827848;
pdf

A.C. Cojocaru,
The Erdös and
Halberstam theorems for Drinfeld modules of any rank,
with an appendix by Hugh Thomas,
Acta Arithmetica 131, no 4, 2008, pp. 317340;
pdf

A.C. Cojocaru and I.E. Shparlinski,
Distribution of Farey fractions in residue classes and LangTrotter conjectures on average,
Proceedings of the AMS 136, no 6, 2008, pp. 19771986;
pdf

A.C. Cojocaru,
Reductions of an elliptic curve with almost prime orders,
Acta Arithmetica 119, no. 3, 2005, pp. 265289;
pdf

A.C. Cojocaru and C. Hall,
Uniform results for Serre's theorem for elliptic curves,
International Mathematics Research Notices, 2005, no. 50, pp. 30653080;
pdf

A.C. Cojocaru, E. Fouvry and M.R. Murty,
The square sieve and the LangTrotter Conjecture,
Canadian Journal of Mathematics,
vol. 57, no. 6, 2005, pp. 11551177;
pdf

A.C. Cojocaru,
On the surjectivity of the Galois representations associated to nonCM
elliptic curves,
with an appendix by Ernst Kani,
Canadian Mathematical Bulletin, 2005, vol. 48, no. 1, pp. 1631;
pdf

A.C. Cojocaru and E. Kani,
The modular degree and the congruence number of a weight 2 cusp form,
Acta Arithmetica 114, no. 2, 2004, pp. 159167;
pdf

A.C. Cojocaru and M.R. Murty,
Cyclicity of elliptic curves modulo p and elliptic curve analogues
of Linnik's problem,
Mathematische Annalen 330, 2004, pp. 601625;
pdf

A.C. Cojocaru and W. Duke,
Reductions of an elliptic curve and their TateShafarevich groups,
Mathematische Annalen 329, 2004, pp. 513534;
pdf

A.C. Cojocaru,
Questions about the reductions modulo primes of an elliptic curve,
Proceedings of the 7th conference of the Canadian Number
Theory Association (Montreal, 2002), ed. E. Goren and H. Kisilevsky,
CRM Proceedings and Lecture Notes, Vol. 36, 2004, pp. 6179;
pdf

A.C. Cojocaru,
Cyclicity of CM elliptic curves modulo p,
Transactions of the American Mathematical Society 355, 2003, pp. 26512662;
pdf

A.C. Cojocaru,
On the cyclicity of the group of F_p rational points of nonCM
elliptic curves,
Journal of Number Theory vol. 96, No. 2, 2002, pp. 335350;
pdf
