1. Design
  2. Selberg Class Group
  3. Analytic Algorithms
  4. Classical Modular Forms
  5. Higher Modular Forms
    1. Wiki creation/maintenance
        Siegel: Nathan and Alex
        Jacobi:  Nils and Nathan
        Orthogonal: Nils (Freitag, Brunier, Gritsenko)
        Hilbert-Siegel: Suzanne
        Hilbert-Jacobi: (Hayashida, Richter)
        Quaternionic and Hermitian: (Krieg)
        Modular forms over Function fields:  (Lynne, Kathy Merrill, Rosson, Mike Daniel)
        Hilbert:  Dembele
        Mod p: Alex
        Cohomology of Arithmetic Groups: Paul
    2. Existing Data and Database creation
        Siegel: SMF level 1, genus 2: Fourier coefficients of discriminant up to 10000, wts to 32, Hecke data for p<1000, p^2 s.t. p<80 (Nils); wts 52 (Nathan); Cris Poor and David Yuen level N?; degree 4 weight 16 prime 2; vector valued and halfintegral weight: Ibukiyama Hayashida; v d Geer has vector valued; Miyawaki genus 3  
        Jacobi: Nils wt 2 index <= 100 newforms; theta blocks wt 1-4 index <= 150; wt 2 index <= 1000 (Poor Brumer Yuen)   
        Orthogonal: Gritsenko
        Hilbert-Siegel: Q(\sqrt(5)) by someone; by Dembele Q(\sqrt(2)) Q(\sqrt(5))
        Quaternionic and Hermitian: (Krieg)
        Hilbert:  Dembele: Q(\sqrt(5)) Q(\sqrt(2)) Q((\sqrt(29)) Q(\sqrt(37)) wt (2,2), (2,4), (4,2), (4,4) Hecke data primes Norm < 5000
        Mod p: Wiese
        Cohomology of Arithmetic Groups: Paul
    3. Future data:
        Siegel: Lynne -- Eisenstein series; Nathan degree 3; Nathan composite level 
        Jacobi:  Nils and Nathan
        Hilbert-Jacobi: Hayashida
        Hilbert:  Dembele, more weights and more fields, relation to Serre conjecture
        Half integral wt:  Nils
        Cohomology of Arithmetic Groups: Nathan
  6. p-adic Modular Forms

  7. Special Values
  8. Lattices and Quadratic Forms
  9. Artin L-functions

LfunctionsAndModularForms/Assigned Projects (last edited 2009-03-01 00:55:51 by localhost)