Publications:
Preprint and submitted papers:
Published or accepted for publication:
 C. David, M. Lalin and J.B. Nam.
Conjectures for moments associated with cubic twists of elliptic curves. Experimental Mathematics, to appear.
 C. David, A. Gafni, A. Malik, N. Prabhu, C. TurnageButternaugh.
Extremal primes for elliptic curves without complex multiplication.
Proceedings of the American Mathematical Society, 148 (2020), 929943.
 S. Bettin, C. David and C. Delaunay,
Families of elliptic curves with nonzero average root number.
Journal of Number Theory, 191 (2018), 184.
 A. Bucur, C. David, E. Costa, J. Guerreiro and D. LowryDuda,
Traces, high powers and one level density for families of curves over finite fields.
Mathematical Proceedings of the Cambridge Philosophical Society,
165 (2018), no. 2, 225248
 C. David, D. Koukoulopoulos and E. Smith, Sums of Euler products and statistics on elliptic curves.
Mathematische Annalen, 368 (2017), 685752.
DOI: 10.1007/s0020801614822
 A. Bucur, C. David, B. Feigon, N. Kaplan, M. Lalin, E. Ozman and and M. Wood,
The distribution of points on cyclic covers of genus g .
International Mathematics Research Notices ,
Vol. 2016, No. 14, pp. 42974340. Advance Access Publication October 1, 2015, doi:10.1093/imrn/rnv279.
 V. Chandee, C. David, D. Koukoulopoulos and E. Smith,
The frequency of elliptic curve groups over prime finite fields.
Canadian Journal of Mathematics, Vol. 68 (4), 2016, pp. 721761. http://dx.doi.org/10.4153/CJM20150131.
 A. Bucur, C. David, B. Feigon and M. Lalin,
Statistics for ordinary ArtinSchreier curves and other prank strata.
Transactions of the AMS, Volume 368 Number 4, 2016, pp. 23712413.
Article electronically published on July 10, 2015 http://dx.doi.org/10.1090/tran/6410.
 C. David, D.K. Huynh and James Parks, Onelevel density of families of elliptic curves
and the Ratio Conjectures.
Research in Number Theory, 1:6, 2015, pp.137. DOI 10.1007/s4099301500057.
 C. David, D. Garton, Z. Scherr, A. Shankar, E. Smith and L. Thompson,
Abelian surfaces over finite fields with prescribed groups.
Bulletin of the London Mathematical Society, Volume 46, 2014, pp. 779792. doi:10.1112/blms/bdu033.
 V. Chandee, C. David, D. Koukoulopoulos and E. Smith, Group structures of elliptic curves over finite
fields.
International Mathematics Research Notices, Vol. 2014, No. 19. pp. 52305248.
 C. David and E. Smith, A CohenLenstra Phenomenon for Elliptic curves.
Journal of the London Mathematical Society, Vol. 89 (1), 2014, 2444. First published online September 5, 2013 doi:10.1112/jlms/jdt036.
 C. David and E. Smith, Elliptic curves with a given number of points over finite fields.
Compositio Mathematica,
149 Issue 2, 2013, 175203.
 S. Akhtari, C. David, H. Hahn, and L. Thompson, Distribution of squarefree values of sequences associated with
in Women in Numbers 2, Contemporary Mathematics, vol. 606 , Amer. Math. Soc., Providence, RI, 2013, pp. 171188.
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 A. Bucur, C. David, B. Feigon, M. Lalin and K. Sinha, Distribution of zeta zeroes of ArtinSchreier curves,
Mathematical Research Letters, 19 no. 6, 2012, 13291356.
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 C. David and J. Wu, Almostprime orders of elliptic curves over finite fields, Forum Mathematicum,
24 Issue 1, 2012, 99120.
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 C. David and J. Wu, Pseudoprime reductions of Elliptic curves,
Canadian Journal of Mathematics, 64, 2012, 81101.
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 A. Balog, A. Cojocaru and C. David, Average twin prime conjecture for elliptic curves,
American Journal of Mathematics, 133 no. 5, 2011, 11791229.
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 A. Bucur, C. David, B. Feigon and M. Lalin,
Biased statistics for traces of cyclic pfold covers over finite fields,
WIN  Women in Number, Fields Institute Communications, American Mathematical Society, 2011.
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 C. David and J. Jimenez Urroz, Squarefree discriminants of Frobenius rings,
International Journal of Number Theory , volume 6, Issue 6, 2010, 13911412.
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 A. Bucur, C. David, B. Feigon and M. Lalin,
The fluctuations in the number of points of smooth plane curves over finite fields,
Journal of Number Theory , 103 Issue 11, 2010, 25282541. PDF file
 A. Bucur, C. David, B. Feigon and M. Lalin,
Statistics for traces of cyclic trigonal curves over finite fields,
International Mathematics Research Notices, 2010, 932967.
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 A. Cojocaru and C. David, Frobenius fields for Elliptic Curves, American Journal of Mathematics,
130 no. 6, 2008, 15351560.
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 S. Adhikari, C. David and J. Jimenez Urroz, Generalizations of some zerosum theorems, Integers, 8, paper A 52, 2008.
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 A. Cojocaru and C. David,
Frobenius fields for Drinfeld modules of rank 2, Compositio Mathematica, 144, 2008, 827–848.
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 C. David and T. Weston, Local torsion of elliptic curves,
Mathematical Research Letters , volume 15, no 23, 2008, 599611.
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C. David, J. Fearnley and H. Kisilevsky,
Vanishing of Lfunctions of elliptic curves over number fields,
Special Volume "Clay Mathematical Institute Special Week on Ranks of Elliptic Curves
and Random Matrix Theory", Cambridge University Press, 2006, 3346.
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A. Akbary, C. David and R. Juricevic,
Average distributions and product of Lseries,
Acta Arithmetica , 111, 2004, 239268.
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 C. David, J. Fearnley and H. Kisilevsky,
On the vanishing of twisted Lfunctions of elliptic curves,
Experimental Mathematics, , 13, 2004, 185198.PDF file
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C. David and F. Pappalardi,
Average Frobenius distribution for inerts in Q(i), Journal of
the Ramanujan Mathematical Society , 19, 2004, 121.
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C. David, Frobenius distributions of Drinfeld modules of any rank,
Journal of Number Theory , 90, 2001, 329340.
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C. David, Characteristic polynomials of abelian varieties over finite fields,
Mathematical Reports of the Academy of Science,
22, 2000, 3338.
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C. David and F. Pappalardi,
Average Frobenius distributions of elliptic curves,
International Mathematics Research Notices, 1999, 165183.
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C. David, H. Kisilevsky, and F. Pappalardi,
Galois representations with nonsurjective traces,
Canadian Journal of Mathematics, 51, 1999, 936951.
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C. David, Average distributions of supersingular
Drinfeld modules, Journal of Number Theory 56, 1996, 366380.
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C. David, Supersingular reduction of Drinfeld modules,
Duke Mathematical Journal 78, 1995, 399411.
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