Research Experiences for Undergraduates at University of Wisconsin-Madison
Number Theory: Modular forms and Number Theory
Participants
- Emily Clader (Columbia University): 2009 Columbia Valedictorian!
- Dan Collins (Cornell University)
- Yvonne Kemper (UC Berkeley)
- Daniel Le (Stanford University): Fulbright Scholar, and NSF Graduate Fellow
- Shelly Manber (MIT)
- Shrenik Shah (Harvard University): 2008 Mumford Prize (Harvard), and 2008 Hoopes Senior Thesis Prize (Harvard), NSF Graduate Fellowship
- Ameya Velingker (Harvard University)
Special Participants
- Matt Wage (Appleton High School, 2008 Intel Science Talent Search Finalist)
- Sally Wolfe (Memorial High School/UW Madison Special Student)
- Maria Monks (MIT, short term visitor from Joe Gallian's REU): 2009 Alice T. Schafer Prize Winner, 2010 Morgan Prize runner-up, 2011 Morgan Prize Winner
Their results
-
E. Clader, Y. Kemper, and M. Wage, Lacunarity of certain partition theoretic generating functions,
Proceedings of the American Mathematical Society, 137 2009, pages 2959-2968. - D. Collins and S. Wolfe, Congruences for Han's generating function, Involve, 2 (2009), pages 225-236.
- D. Le, S. Manber, and S. Shah, On p-adic properties of twisted traces of singular moduli, International Journal of Number Theory, 6 (2010), pages 625-653.
- M. Monks, Number theoretic properties of generating functions related to Dyson's rank for partitions into distinct parts, Proceedings of the American Mathematical Society, 138 (2010), pages 481-494.
- A. Velingker, An exact formula for the coefficients of Han's generating function, Annals of Combinatorics, accepted for publication.