Publications resulting from our REU


  1. J. Battista, J. Bayless, D. Ivanov and K. James, Average Frobenius distributions for elliptic curves with nontrivial rational torsion , Acta Arith. 119 (2005), no. 1, 81--91.
  2. K. Bowman, N. Calkin, Z. Cochran, T. Flowers, K. James and S. Purvis, Linear independence in a random binary vector model, 36th Southeastern International Conference on Combinatorics, Graph Theory, and Computing. Congr. Numer. 172 (2005), 29--32.
  3. M. Brown, N. Calkin, K. James, A. King, S. Purvis and R. Rhoades, Trivial Selmer groups and the number of even partitions of a graph, INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY, 6 (2006), #A33.
  4. N. Calkin, K. James, S. Purvis, S. Race, K. Schneider, M. Yancey, Counting Kings: Explicit Formulas, Recurrence Relations, and Generating Functions! Oh My! Congressus Numerantium 182 (2006), 41-51.
  5. N. Calkin, K. James, S. Purvis, S. Race, K. Schneider, M. Yancey, Counting Kings: As easy as $\lambda_1$, $\lambda_2$, $\lambda_3$, ... Congressus Numerantium 183 (2006), 83-95.
  6. N. Calkin, J. Davis, K. James, E. Perez and C. Swannack, Computing the integer partition function., Math. Comp. 76 (2007) no. 259, 1619-1638.
  7. B. Brown, N. Calkin, T. Flowers, K. James, E. Smith and A. Stout, Elliptic Curves, Modular Forms, and Sums of Hurwitz Class Numbers, Journal of Number Theory, 128 , no. 6, (2008), 1847--1863.
  8. N. J. Calkin, N. Drake, K. James, S. Law, P. Lee, D. Pennsiton, J. Radder, Divisibility properties of the 5-regular and 13-regular partition functions , INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY, 8 (1) (2008) # A60 .
  9. J. Burkhart, N. J. Calkin, S. Gao, J. C. Hyde-Volpe, K. James, H. Maharaj, S. Manber, J. Ruiz, E. Smith, Finite field elements of high order arising from modular curves , Designs, Codes and Cryptography, 51:3 June 2009.
  10. J. Baumann, N. Calkin, and J. Lyle, On the Domination of Kings , Proceedings of the Fortieth Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 197 (2009), 161-176.
  11. N. Calkin; K. James; J. Janoski; S. Leggett; B. Richards; N. Sitaraman; S. Thomas Computing strategies for graphical Nim, Proceedings of the Forty-First Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 202 (2010), 171-185.
  12. N. J. Calkin; J. Davis; M. Delcourt; Z. Engberg; J. Jacob; K. James, Discrete Bernoulli Convolutions: An algorithmic approach toward bound improvement , Proc. Amer. Math. Soc. 139 (2011), no. 5, 1579-1584.
  13. N. J. Calkin, B. Faulkner, K. James, M. King, D. Penniston, Average Frobenius Distributions for Elliptic Curves over Abelian Extensions , Acta Arith. 149 (2011), no. 3, 215-244.
  14. N. Amersi, J. Beyerl, J. Brown, Allison Proffer, Larry Rolen, Pullbacks of Siegel Eisenstein series and weighted averages of critical $L$-values , Rama. J., 27 (2012), no. 2, 151-162.
  15. N. Calkin, J. Davis, M. Delcourt, Z. Engberg, J. Jacob, K. James, Taking the convoluted out of Bernoulli convolutions: A discrete approach , INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY, 13 (2013), #A-19.
  16. T. Feng; K. James; C. Kim; E. Ramos; C. Trentacoste; H. Xue, A graph theoretic approach to the 3-Selmer groups of certain elliptic curves , Ramanujan Journal (to appear).
  17. J. Brown; A. Hasmani; L. Hiltner; A. Kraft; D. Scofield; K. Wash, Classifying extensions of the field of formal Laurent series over Fp , Rocky Mountain Journal of Math. (accepted for publication).
  18. J. Brown; D. Heras; K. James; R. Keaton; A. Qian Amicable pairs and aliquot cycles for elliptic curves over number fields, (submitted).