2010 Research Experiences for Undergraduates
Computational Number Theory and Combinatorics
Research Projects
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Please note that some of these works are still in progress!
Siegel Modular Forms
This undergraduate participants in this group were
Nadine Amersi, Allison Proffer and Larry Rolen.
They were mentored by Clemson graduate student
Jeff Beyerl.
They studied
Siegel Modular forms and developed formulas relating averages
of certain $L$-series values to the Fourier coefficients of Eisenstein series.
REU Write up
Preprint of publication in Ramanujan Journal
Selmer Groups
The undergraduate participants in this group were
Kelly Crone, Tony Feng, Carolyn Kim and Eric Ramos.
The were mentored by Clemson graduate student
Catherine Trentacoste.
They studied
the Selmer groups of 3-isogenies of the curves
$E: y^2 = x^3 + D(ax+b)^2$.
REU Write up
Preprint of publication in Ramanujan Journal
Sperner group
The undergraduate participants in this group were
Brian Bowers, Kerry Gannon and Katie Jones.
There was also one highschool student Anna Kirkpatrick in this group.
They were mentored by Clemson graduate student
Janine Janoski.
This group focused on proving unimodality and the bipartite
matching property of the level sets of integer partition posets.
REU Write up
Appendix to REU write up