Research Experiences for Undergraduates at University of Wisconsin-Madison
Number Theory: Investigating Elliptic curves, Hypergeometry, and Modular Forms
- Zana Chan (Bard College)
- Rebecca Hoberg (University of Chicago)
- Eric Larson (Harvard University)
- Pak Hin Lee (Stanford University)
- Keenan Monks (Hazleton HS, Pa): '10 Siemens Semi-Finalist, '10 International S.-T. Yau Math, Honorable Mention (top 3 from US), 2011 Intel STS (6th place)
- Ying-Ying Tran (Cal Tech)
- Dmitry Vaintrob (Harvard University)
- Mckenzie West (St. Olaf)
- Alexandr Zamorzaev (MIT)
Note: Some participants are funded by non-NSF sources.
- R. Hoberg, G. Tran, and M. West, Subbarao's Conjecture on the parity of the partition function.
- E. Larson and D. Vaintrob, On the surjectivity of Galois representations associated to elliptic curves over number fields, Bulletin of the London Mathematical Society, 46 (2014), 197-209.
- E. Larson and D. Vaintrob, Determinants of subquotients of Galois representations associated to abelian varieties, Journal of the Institute of Mathematics of Jussieu, 13 (2014), 517-559.
- P.-H. Lee and A. Zamorzaev, Parity of the partition function and traces of singular moduli, International Journal of Number Theory, 8 (2012), pages 395-409.
- K. Monks, On supersingular elliptic curves and hypergeometric functions, Involve, 5 (2012), pages 99-113.
- Y.-Y. Tran, Generalization of Atkin's orthogonal polynomials and supersingular elliptic curves, Proceedings of the American Mathematical Society, 141 (2013), pages 1135-1141.