Research Experiences for Undergraduates at University of Wisconsin-Madison
Number Theory: Continued fractions, probability, modular forms, elliptic curves and L-functions
Participants
- Jeremy Booher (Harvard University): 2010 Herschel Smith Fellow (Cambridge).
- George Boxer (Princeton University): 2010 Churchill Fellow (Cambridge).
- Peter Diao (Princeton University)
- Anastassia Etropolski (Bard College)
- Amanda Hittson (Bryn Mawr College)
- Rachel Kirsch (University of Maryland)
- Elise McCall (MIT)
- Alex Perry (Columbia University)
Special Participants
- Adam Goldberg (Home school, Berkeley, California)
- Edward Hou (High school student in Appleton, Wisconsin)
- Tony Feng (Phillips Andover, Massachusetts)
Their results
- J. Booher, A. Etropolski, and A. Hittson, Evaluations of cubic twisted Kloosterman sheaves, International Journal of Number Theory, 6 (2010), pages 1349-1365.
- G. Boxer and P. Diao, Effective nonvanishing of canonical Hecke L-functions, Proceedings of the American Mathematical Society, 138 (2010), pages 3891-3897.
- G. Boxer and P. Diao, 2-Selmer groups of quadratic twists of elliptic curves, Proceedings of the American Mathematical Society, 138 (2010), pages 1969-1978.
- E. Dummit, A. Goldberg, and A. Perry, A conjecture of Evans on sums of Kloosterman sums, Proceedings of the American Mathematical Society, 138 (2010), pages 3047-3056.
- T. Feng, R. Kirsch, E. McCall, and M. Wage, Birth death processes and q-continued fractions Transactions of the American Mathematical Society, 364 (2012), pages 2703-2721.