Undergraduate Research Nathan C. Ryan Department of
Mathematics |
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The BURG
In the Spring of 2008 Pete Brooksbank, Peter McNamara and I established an undergrduate research group at Bucknell. In particular we applied for, and received, funding for four computers on which our students can work. The Bucknell Undergraduate Research Group now counts Adam Piggott as faculty advisors.Future Projects
- What's so special about the spinor L-function: most conjectures and lifts are in terms of the spinor L-function attached to a Siegel modular form. What's true for the other L-functions?
- Does the Riemann hypothesis hold for Koecher-Maass Dirichlet series?
- Does a Maeda-type conjecture hold for Siegel modular forms of degree 2?
Current Projects
- Mike Lengel, Optimal Computation of L-functions.
- Sami Prehn, Iterates of $x^2+a$.
Past Projects
- Soledad Villar, La ecuación Pell y sus aplicaciones criptográficas.
- Bryan Ward and Ryan Ward, Maximal Height of Divisors of $x^n-1$.
- Kevin McGoldrick, Sato Tate for Siegel Modular Forms of Degree 2.
- Lauren Grainer, Riemann Hypothesis for Siegel Modular Forms of Degree 2.