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A.C. Cojocaru, H. Iwaniec, and N. Jones,
The average asymptotic behaviour of the Frobenius fields of an elliptic curve,
under revision
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M. Bhargava, A.C. Cojocaru, and F. Thorne,
Non-S_5 quintic extensions of bounded discriminant,
under revision
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A.C. Cojocaru, A. Hinz, and T. Wang,
Quantitative upper bounds related to an isogeny criterion for elliptic curves,
preprint, 18 pages
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A.C. Cojocaru and N. Jones,
Prime Frobenius traces for non-CM elliptic curves,
preprint, 17 pages
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A.C. Cojocaru and M. Meyer,
Non-CM elliptic curves with infinitely many almost prime Frobenius traces,
to appear in Journal of Number Theory;
arxiv link
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A.C. Cojocaru and T. Wang,
Bounds for the distribution of the Frobenius traces associated to a generic abelian variety,
preprint;
arxiv link
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A. Bucur, A.C. Cojocaru, M. Lalín, and L. Pierce,
Geometric generalizations of the square sieve and applications to cyclic covers,
with an appendix by Joseph Rabinoff,
Mathematika Vol. 69, No. 1, 2023, pp. 106--154;
arxiv link
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A.C. Cojocaru and S. Garai,
Obstructions to reciprocity laws in the theory of Drinfeld modules,
Proceedings of the American Mathematical Society Vol. 151, No. 4, 2023, 1379--1393;
pdf to be posted
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A.C. Cojocaru and T. Wang,
Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves,
Canadian Journal of Mathematics, March 2022, pp. 1--27;
arxiv link
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A.C. Cojocaru and M. Papikian,
The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module,
Journal of Number Theory Vol. 237 (special volume dedicated to E-U. Gekeler), August 2022, pp. 15--39;
arxiv link
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A.C. Cojocaru and N. Jones,
Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring,
Journal de Thèorie des Nombres de Bordeaux Vol. 33, 2021, No. 1, pp. 95--106;
arxiv link
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A.C. Cojocaru and M. Fitzpatrick,
The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal,
Contemporary Mathematics Vol. 770, 2021, pp. 51--57
(in the volume ``Proceedings of the Conference on Arithmetic, Geometry, Cryptography and Coding Theory'', edited by Stephane Ballet, Gaetan Bisson and Irene Bouw);
arxiv link
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R. Bell, C. Blakestad, A.C. Cojocaru, A. Cowan, N. Jones, V. Matei, G. Smith, and I. Vogt,
Constants in Titchmarsh divisor problems for elliptic curves,
Research in Number Theory 2020, 6:1, pp. 1--24;
pdf
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A.C. Cojocaru,
Primes, elliptic curves, and cyclic groups,
with appendix
Reductions modulo primes of Serre curves: computational data
by A.C. Cojocaru, M. Fitzpatrick, T. Insley, and H. Yilmaz,
Contemporary Mathematics Vol. 740, 2019, pp. 1--69
(in the volume
``Analytic methods in arithmetic geometry'' edited by Alina Bucur and David Zureick-Brown);
pdf to be posted
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A.C. Cojocaru,
Primes, elliptic curves, and cyclic groups: a synopsis,
invited contribution to the Proceedings of the 8th International Congress of Romanian Mathematicians,
Revue Roumaine de Mathématique Pures et Appliquées 62, No. 1, 2017, pp. 3--40;
pdf to be posted
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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 J-P. Serre,
International Mathematics Research Notices, No. 12, 2016, pp. 1--46;
pdf
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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 67, 2015, pp. 1326--1357;
pdf
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A.C. Cojocaru and M. Papikian,
Drinfeld modules, Frobenius endomorphisms, and CM liftings,
International Mathematics Research Notices, No. 17, 2015, pp. 7787--7825;
pdf
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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. 897--914;
pdf
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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. 953--965;
pdf
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A.C. Cojocaru, D. Grant, and N. Jones,
One-parameter families of elliptic curves over Q with maximal Galois representations,
Proceedings of the London Mathematical Society 103, No. 4, 2011, pp. 654--675;
pdf
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A. Balog, A.C. Cojocaru, and C. David,
Average twin prime conjecture for elliptic curves,
American Journal of Mathematics 133, No. 5, 2011, pp. 1179--1229;
pdf
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A.C. Cojocaru and I.E. Shparlinski,
On the embedding degree of the reductions of an elliptic curve,
Information Processing Letters 109, 2009, pp. 652--654;
pdf to be posted
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A.C. Cojocaru, F. Luca, and I.E. Shparlinski,
Pseudoprime reductions of elliptic curves,
Mathematical Proceedings of the Cambridge Philosophical Society 146, 2009, pp. 513--522;
pdf to be posted
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A.C. Cojocaru and C. David,
Frobenius fields for elliptic curves,
American Journal of Mathematics 130, No. 6, 2008, pp. 1535--1560;
pdf
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A.C. Cojocaru,
Squarefree orders for CM elliptic curves modulo p,
Mathematische Annalen 342, No. 3, 2008, pp. 587--615;
pdf
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A.C. Cojocaru and C. David,
Frobenius fields for Drinfeld modules of rank 2,
Compositio Mathematica 144, part 4, 2008, pp. 827--848;
pdf
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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. 317--340;
pdf
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A.C. Cojocaru and I.E. Shparlinski,
Distribution of Farey fractions in residue classes and Lang-Trotter conjectures on average,
Proceedings of the American Mathematical Society 136, No. 6, 2008, pp. 1977--1986;
pdf to be posted
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A.C. Cojocaru,
Reductions of an elliptic curve with almost prime orders,
Acta Arithmetica 119, No. 3, 2005, pp. 265--289;
pdf
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A.C. Cojocaru and C. Hall,
Uniform results for Serre's theorem for elliptic curves,
International Mathematics Research Notices, No. 50, 2005, pp. 3065--3080;
pdf
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A.C. Cojocaru, É. Fouvry, and M.R. Murty,
The square sieve and the Lang-Trotter Conjecture,
Canadian Journal of Mathematics 57, No. 6, 2005, pp. 1155--1177;
pdf
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A.C. Cojocaru,
On the surjectivity of the Galois representations associated to non-CM
elliptic curves,
with an appendix by Ernst Kani,
Canadian Mathematical Bulletin 48, No. 1, 2005, pp. 16--31;
pdf
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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. 159--167;
pdf
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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. 601--625;
pdf
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A.C. Cojocaru and W. Duke,
Reductions of an elliptic curve and their Tate-Shafarevich groups,
Mathematische Annalen 329, 2004, pp. 513--534;
pdf
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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), edited by Eyal Goren and Hershy Kisilevsky,
Centre de Recherches Mathématiques Proceedings and Lecture Notes 36, 2004, pp. 61--79;
pdf
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A.C. Cojocaru,
Cyclicity of CM elliptic curves modulo p,
Transactions of the American Mathematical Society 355, 2003, pp. 2651--2662;
pdf
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A.C. Cojocaru,
On the cyclicity of the group of F_p -rational points of non-CM
elliptic curves,
Journal of Number Theory 96, No. 2, 2002, pp. 335--350;
pdf
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