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  * See [[days26/Pries%20Project|this page]].   * See [[days26/Pries Project|this page]].

PROJECT GROUPS

Computing the Cartier operator acting on 1-forms

PEOPLE: Rachel P., Aly, Gagan, Anja, Sarah, Marina, Kate

  • See this page.

  • sage worksheet that is slow and just implements algorithm (correctly!)
  • make it really, really fast.
  • get included in sage itself
  • make a big table or something? Rachel: "I would love to find a curve with p-rank 0 and a-number 1. I did genus 4 and p=3."

Making Drew Sutherland's smalljac code usable in Sage and extending Kate's data

PEOPLE: Kate, William S., Lola, Aly, Erin, Bianca,

  • make code usable from Python (involves Cython)
  • use code:
    • - replicate and extend data in Kate's talk - maybe try genus 2 analogue?
  • possibly implement cubic and sextic residue symbol. make it really really fast, even if it is implemented, since Kate wants lots of data.
  • explicit calculation of Grossencharacters.

Computing L-series of Jacobians of Certain Hyperelliptic Curves

PEOPLE: Jennifer B., Jennifer P., Jennifer J.

  • Decide if curve is attached to a modular form, and if so find it, then use that to compute L-series.
  • Plug L-series into Dokchitser and get numbers.
  • Make a table. Starting with "van Wamelen"'s table. See also Kohel.

Computing in the class group of non-maximal orders of quadratic imaginary fields

PEOPLE: William S., Bianca,

  • Make a list of what you want to be able to do
  • List why Magma/PARI aren't good enough (bugs, issues, speed, etc.)
  • Write really really fast code to implement some of this.

days26/projects (last edited 2010-12-10 19:57:07 by AlysonDeines)