Publications resulting from our REU
- 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.
- 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.
- 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.
- 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.
- 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.
- N. Calkin, J. Davis, K. James, E. Perez and C. Swannack,
Computing the integer partition function., Math. Comp.
76 (2007) no. 259, 1619-1638.
- 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.
- 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 .
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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).
- 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).
- J. Brown; D. Heras; K. James; R. Keaton; A. Qian
Amicable pairs and aliquot cycles for elliptic curves over
number fields, (submitted).