Schedule

Number Theory and Representation Theory (June 5 - July 14, 2023)

Projects

• Arithmetic functions over function fields
• Arithmetic statistics
• Modular forms
• Partitions
• Sato-Tate distributions for K3 surfaces

2023 Jane Street UVa REU Distinguished Lectures

• June 8th (9:00am) Lillian Pierce (Duke): The polynomial sieve: beyond separation of variables
• June 15th. (Double header)
  • (1:00pm) Terry Tao (UCLA) : Almost all Collatz orbits attain almost bounded values
  • (3:00pm) Andrei Okounkov (UC Berkeley): Partitions, q-series, and multiple q-zeta values
• June 22nd. (Double header)
  • Ken Ribet (UC Berkeley): Torsion Points on Abelian Varieties over abelian extension of Q
  • (4:00pm) James Maynard (Oxford): Patterns in Primes
• June 29th. Melanie Matchett Wood (Harvard): Conjectures for distributions of class groups when there are roots of unity in the base field
• July 6th. Jennifer Balakrishnan (Boston University): Two perspectives on the Birch and Swinnerton-Dyer Conjecture

Mini-Courses (1:00pm-2:00pm)

• June 5, 7, 9: Abelian Varieties (Prof. E. Gazaki)
• June 12, 14, 16: Combinatorial Representation Theory (Prof. Y. Qi).