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


  • 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: Clark 101) 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  (Note: email Ken Ono for zoom link)
  • June 22nd. (Double header)
    • (1:30pm: Clark 101) Ken Ribet (UC Berkeley): Elliptic curves and oceans
    • (4:00pm) James Maynard (Oxford): Patterns in Primes
  • June 29th. (1:30pm: Clark 101) Melanie Matchett Wood (Harvard): Conjectures for distributions of class groups when there are roots of unity in the base field
  • July 6th. (10:30am: Clark 101) Jennifer Balakrishnan (Boston University): Two perspectives on the Birch and Swinnerton-Dyer Conjecture

Mini-Courses (1:00pm-2:00pm in New Cabell Hall 058)

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