#### Publications

1. Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures (with M. Locus Dawsey)
Submitted for publication.
[ Journal | arXiv ]

2. Generalized Paley Graphs and their Complete Subgraphs of Orders Three and Four (with M. Locus Dawsey)
Research in the Mathematical Sciences (2021) 8:18.
[ Journal | arXiv ]

3. Sequences, modular forms and cellular integrals (with R. Osburn and A. Straub)
Mathematical Proceedings of the Cambridge Philosophical Society, 168(2) (2020), 379-404.
[ Journal | arXiv ]

4. On a question of Zhang (with Y. Yang)
Communications in Algebra (2019) 47:12, 5133-5134.
[ Journal ]

5. Apéry-like numbers and families of newforms with complex multiplication (with A. Gomez and D. Young)
Research in Number Theory (2019) 5:5.
[ Journal | arXiv ]

6. The number of \$\mathbb{F}_p\$-points on Dwork hypersurfaces and hypergeometric functions
Research in the Mathematical Sciences (2017) 4:4.
[ Journal | arXiv ]

7. Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms
Journal of Number Theory, 170 (2017), 263-281.
[ Journal | arXiv ]

8. Hypergeometric type identities in the p-adic setting and modular forms (with J. Fuselier)
Proceedings of the American Mathematical Society 144 (2016), 1493-1508.
[ Journal | arXiv ]

9. A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform (with M. Papanikolas)
International Journal of Number Theory 11 (2015), no. 8, 2431-2450.
[ Journal | arXiv ]

10. Summation identities and special values of hypergeometric series in the p-adic setting (with R. Barman and N. Saikia)
Journal of Number Theory, 153 (2015), 63-84.
[ Journal | arXiv ]

11. The trace of Frobenius of elliptic curves and the p-adic gamma function
Pacific Journal of Mathematics, 261 (2013), no. 1, 219-236.
[ Journal | arXiv ]

12. Transformations of well-poised hypergeometric functions over finite fields
Finite Fields and Their Applications, 18 (2012), no. 6, 1133-1147.
[ Journal | arXiv ]

13. On a supercongruence conjecture of Rodriguez-Villegas
Proceedings of the American Mathematical Society 140 (2012), 2241-2254.
[ Journal | arXiv ]

14. Extending Gaussian hypergeometric series to the p-adic setting
International Journal of Number Theory 8 (2012), no. 7, 1581-1612.
[ Journal | arXiv ]

15. Binomial coefficient-harmonic sum identities associated to supercongruences
Integers 11 (2011), A37, 8 pp.
[ Journal | arXiv ]

16. 3F2 Hypergeometric series and periods of elliptic curves
International Journal of Number Theory 6 (2010), no. 3, 461-470.
[ Journal | arXiv ]

17. A p-adic analogue of a formula of Ramanujan (with R. Osburn)
Archiv der Mathematik 91 (2008), no. 6, 492-504.
[ Journal | arXiv ]