Research Experiences for Undergraduates (REU) Number Theory: Arithmetic Dynamics and Modular Forms.			Van Vleck Hall       Madison, WI 53706          Fax: 608 263 8891
	Dates: June 5 - July 28, 2006.	Reserved Room: B227 Van Vleck	REU Classroom: 903 Van Vleck (reserved daily for 9:00am - Noon.

Instructors.
          Rafe Jones, Van Vleck Assistant Professor.
          Ken Ono, Manasse Professor of Letters and Science.
          Karl Mahlburg, NSF Graduate Fellow.
          Jeremy Rouse, NDSEG Graduate Fellow.
        

VIGRE Participants.
          Yaim Cooper (MIT):    Runner Up, 2007 Alice T. Schafer Prize
          Carl Erickson (Stanford University): 2007 Churchill Fellow (Cambridge)
          Richard Gottesman (Brown University)
          Alison Miller (Harvard University): 2008 Alice T. Schafer Prize Co-Winner, 2008 Churchill Fellow
          Yusra Naqvi (Swarthmore College)
          Aaron Pixton (Princeton University): 2008 Churchill Fellow (Cambridge)
          Brian Rice (Harvey Mudd College): 2007 Goldwater Scholar
          KwokFung Tang (University of Chicago)
          Irena Wang (Harvard University)

Other Participants and Visitors.
          Nick Wage (Appleton East High School, Wisconsin)
          David Hansen (Watchung Hills Regional High School, New Jersey)
          Daniel Kane (MIT):     2007 Frank and Brennie Morgan Prize Winner.

• Y. Cooper, N. Wage, and I. Wang, Congruences for modular forms of non-positive weight, International Journal of Number Theory, accepted for publication.
• C. Erickson, A. Miller, and A. Pixton, Orders at infinity of modular forms with Heegner divisors, Proceedings of the American Mathematical Society, accepted for publication.
• A. Miller and A. Pixton, Arithmetic traces of non-holomorphic modular invariants,
submitted for publication.
• R. Gottesman and Kwokfung Tang, Quadratic recurrences with a positive density of prime divisors, submitted for publication.
• D. Hansen and Y. Naqvi, Shimura lifts of half-integral weight modular forms arising from theta functions, Ramanujan Journal, accepted for publication.
• B. Rice, Primitive prime divisors of first-order polynomial recurrence sequences, Integers, Vol. 7, #A26.

Basic Information and Financial Support (.pdf file).

Brief Description of the Projects. (.pdf file).

Application Materials. (Deadline: Past).

Note: Housing will be single occupancy.

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