Current Quarter (Spring 2009)

Mondays, 3:30-5:30, Padelford C-36

• 4/6 -- Trevor Arnold, Skinner & Urban's recent work

• 4/13 -- Robert Bradshaw, Dokchitser's algorithm for computing L-functions
• 4/20 -- Craig Citro, L-invariants

Possible Topics

• Kartik Prasanna's thesis (William has skimmed this recently)
• Johan Bosman's thesis: compute f(z), construct galois repns (Craig is happy to do this in a few weeks if people are interested)
• Automorphic forms
  • Piatetski-Shapiro, Classical and adelic automorphic forms, Craig
  • Sato-Tate, Rob Miller
• Convergence Acceleration of Alternating Series, by Henri Cohen, Fernando Rodriguez Villegas, and Don Zagier

Previous Quarters

Fall 2008

BLM 408, 11-12:20 Wednesdays

???, 11-12:20 Fridays

Here's the schedule right now:

• Dokchitser's paper on computing L-functions
  • 11/12, William
• Gross-Zagier
  • 11/14, Heegner points intro, Rob Miller (30 min)
  • 11/14, Gross-Zagier, chs 1, 5, William
  • 11/19, Gross-Zagier, William
• Watkins, Delauney
  • Petersson inner products, Rob Bradshaw
  • Rob Bradshaw
• Kolyvagin, structure of Sha, Selmer
  • William
• Congruences between modular forms
  • Ghate: Intro, Ribet: Mod p Hecke operators
  • Doi, Hida, Ishii