Research Experiences for Undergraduates at University of Wisconsin-Madison
Number Theory: Drinfeld modules and function fields
Participants
- Shanshan Ding (Columbia University)
- Doris Dobi (MIT): 2009 Alice T. Schafer Prize runner up, and NDSEG and NSF Graduate Fellow
- Samuel Lichtenstein (Harvard University): 2008 Goldwater Scholar, NSF Graduate Fellow
- Adam Merberg (Brown University): NSF Graduate Fellow
- Noam Tanner (Princeton University)
- Elena Udovina (Harvard University): 2008 Herschel Smith Fellow (Cambridge)
- Nicholas Wage (Harvard University)
- Irena Wang (Harvard University)
Special Participants
- Matthew Wage (Appleton High School): 2008 Intel STS Finalist
- Sally Wolfe (Memorial High School, Madison)
Their results
- Shanshan Ding, Smallest irreducible of the form x^2-dy^2, International Journal of Number Theory, 5 (2009), pages 449-456.
- Doris Dobi, Nick Wage, and Irena Wang, Supersingular rank two Drinfeld modules and analogs of Atkin's orthogonal polynomials, International Journal of Number Theory, 5(2009), pages 885-895.
- Sam Lichtenstein, https://uva.theopenscholar.com/files/ken-ono/files/2007reu_sam.pdf, Proceedings of the American Mathematical Society, 136 (2008), pages 3419-3428.
- Adam Merberg, Divisibility of class numbers of imaginary quadratic function fields, Involve, 1 (2008), pages 47-58.
- Noam Tanner, Strings of consecutive primes in function fields, International Journal of Number Theory, 5 (2009), pages 81-88.
- Matt Wage, On Lehmer-type questions for special classes of arithmetic functions, International Journal of Modern Mathematics, 3 (2008), pages 245-260.
- Sally Wolfe, Parity of the partition function and the modular discriminant, Involve, 1 (2008), pages 9-19.
- Elena Yudovina, Diophantine equations and congruences over function fields, Proceedings of the American Mathematical Society, 136 (2008), pages 3839-3850.