Preprints

 

 

Oleg Lazarev, Matthew Mizuhara, Benjamin Reid, and Holly Swisher, An extension of a proof of the Ramanujan congruences, submitted.

 

Published Papers

 

Sarah Chisholm, Alyson Deines, and Holly Swisher, Recent Advances for Ramanujan Type Supercongruences, to appear in Contemporary Mathematics, Women in Numbers 2:  Research Directions in Number Theory, 14 pp.

Christopher Jennings-Shaffer and Holly Swisher, Transcendence of zeros of generalized Eisenstein series, to appear in International Journal of Number Theory, 2013.

Sarah Chisholm, Alyson Deines, Ling Long, Gabriele Nebe, and Holly Swisher, $p$-adic Analogues of Ramanujan Type Formauls for $1/\pi$. Mathematics 1 (2013), 9-30.

Oleg Lazarev and Holly Swisher, A combinatorial proof of a recursive formula for multipartitions, Integers 11 (2011), A52, 13 pp.

Sharon Garthwaite, Ling Long, Holly Swisher, and Stephanie Treneer, Zeros of classical Eisenstein series and recent developments, WIN—Women in Numbers, Fields Institute Communications, vol. 60, Amer. Math. Soc., Providence, RI, 2011, p. 251-263.

Holly Swisher, The Andrews-Stanley partition function and p(n): congruences, Proceedings of the American Mathematical Society, Volume 139, 2011, p. 1175- 1185.

Sharon Garthwaite, Ling Long, Holly Swisher, and Stephanie Treneer, Zeros of some level 2 Eisenstein series, Proceedings of the American Mathematical Society, Volume 138, Number 2, 2010, p. 467-480.

Kathrin Bringmann and Holly Swisher, On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan Functions, Proceedings of the American Mathematical Society, Volume 135, Number 8, 2007, p. 2317-2326. Corrigendum, Proceedings of the American Mathematical Society, Volume 136, 2008, p. 1501.

Holly Swisher, A remark on Hecke operators and a theorem of Dwork and Koike, Illinois Journal of Mathematics, 48, Issue 1, 2004, p. 353-356.

Scott Chapman, Victor DeLorenzo, and Holly Swisher, On the asymptotic behavior of irreducibles in block semigroups, Semigroup Forum, 63, 2001, p. 34-48.

Student Project Papers

 

Masters Students

REU Students