Number Theory and Representation Theory (June 7- July 16, 2021)

Projects

• Brauer groups for elliptic curves
• Divisors of Hecke trace modular forms and complex multiplication
• Elliptic curve Tamagawa products: Arithmetic statistics over number fields
• Lehmer-type conjectures for modular forms
• Mertens-type speculations for Mobius sums over number fields

REU Invited Speakers (Thursdays at 3pm)

• June 10th: Jennifer Balakrishnan (Boston University)
• June 17th: Kannan Soundararajan (Stanford University)
• June 24th: Melanie Matchett Wood (Harvard University)
• July 1st: Andrei Okounkov (Columbia University)
• July 8th: Jordan Ellenberg (University of Wisconsin)

REU Mini-Courses

• Representation Theory of the Symmetric Group (Instructor: Prof. You Qi)
• Abelian Varieties  (Instructor: Prof. Evangelia Gazaki)
• Diophantine Approximation After Roth and Schmidt (Instructor Postdoc Jinbo Sen)

Topology (June 7-July 30, 2021)

Projects (To be determined)