Research Experiences for Undergraduates (REU)


Number Theory: Drinfeld modules and function fields

        Van Vleck Hall

      Madison, WI 53706

         Fax: 608 263 8891
Dates: June 4 - July 27, 2007. Reserved Room: B227 Van Vleck REU Classroom: 903 Van Vleck.

Instructors.


          Ken Ono, Manasse Professor of Letters and Science.
          Amanda Folsom, Van Vleck Assistant Professor and NSF Postdoctoral Fellow.
          Jeremy Rouse, NDSEG Fellow.
          Frank Thorne, University of Wisconsin Ph.D. Student.

Participants


          Shanshan Ding (Columbia University)
          Doris Dobi (MIT)
          Samuel Lichtenstein (Harvard University): 2008 Goldwater Scholar
          Adam Merberg (Brown University)
          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, accepted for publication.
Doris Dobi, Nick Wage, and Irena Wang, Supersingular rank two Drinfeld modules and analogs of Atkin's orthogonal polynomials, International Journal of Number Theory, recommended for publication.
Sam Lichtenstein, The effective Chebotarev density theorem and modular forms modulo m, Proceedings of the American Mathematical Society, accepted for publication.
Adam Merberg, Divisibility of class numbers of imaginary quadratic function fields, Involve, accepted for publication.
Noam Tanner, Strings of consecutive primes in function fields, International Journal of Number Theory, accepted for publication.
Matt Wage, On Lehmer-type questions for special classes of arithmetic functions, International Journal of Modern Mathematics, accepted for publication.
Sally Wolfe, Parity of the partition function and the modular discriminant, Involve, accepted for publication.
Elena Yudovina, Diophantine equations and congruences over function fields, Proceedings of the American Mathematical Society, accepted for publication.


Application and further information.

Basic Information and Financial Support.

Brief Description of the Projects.

Application Materials. (Deadline: January 31, 2007)

Note: Housing will be single occupancy.

Previous REU's in Number Theory:
2003
2005
2006

For information, please email Ken Ono at ono[at]math.wisc.edu