Diff for "days23/CodingProjects"

sage-4.5

• Robert Miller

ABC at home

• review code
• model runtime
• People: Bart de Smit, Willem Jan Palenstijn, Demeyer, Mak Trifkovic, Thijs van Dijk, Alyssa Milburn, Dan Bernstein, Sebastian Pancratz

Models for elliptic curves

• genus 1 --> Weierstrass

• People: Dan Bernstein, Tanja Lange, Niels Duif, Johannes van der Horst, Michiel Kosters, Marco Streng, Vince Bush, Julio Brau, Michael Mourao, John Cremona

• Tom Fisher's Magma code for invariants and covariants of plane cubics covariants.m, and for minimization and reduction of genus one models g1minimisation-2008.m g1reduction-2008.m minred-demo1.m minred-demo2.m

Function Fields

The main goal of this project is to get the basic infrastructure for function fields into Sage. If time permits, we will also implement Hess's algorithms.

People: William Stein, Maarten Derickx, Peter Bruin, Jan Tuitman, Max Flander, Tanja Lange, Michiel Kosters, Christiane Peters, Marco Streng

• Trac 9054: Create a class for basic function_field arithmetic for Sage

• Trac 9094: is_square and sqrt for polynomials and fraction fields

• Trac 9095: Heights of points on elliptic curves over function fields

Hyperbolic geometry

• plotting, actions, fundamental domains
• Java
• port Verrill's fund.dom. program
• People: Vincent Delecroix, Maite Arianes, Thijs van Dijk

Ticket #4000 on rational polynomials... QQ[x] via FLINT

• People: Sebastian Pancratz, Bill Hart, Jan Tuitman

Sage on GPU's

• People: Dan Bernstein, Thijs van Dijk, Andy Novocin

ZZ[x] factoring in FLINT, plus LLL

• People: Andy Novocin, Wieb Bosma, Johannes van der Horst, Bill Hart, Max Flander

MPIR projects

• fmpz in Sage
• a very concrete C project
• People: Frederik Johansson, Bill Hart

Ticket #4260 - Sage + Linbox

• unify for matrices over GF(p)
• C++ wizardry, etc
• People: Andy Novocin, Clement Pernet, (Burcin Erocal, remotely)

Sage Notebook in the classroom

• People: Bart de Smit, William Stein, Eric van der Velden, Willem Jan Palenstijn, Alyssa Milburn

General framework for the factor(n) command

• mpfq is LGPL!

• special support for p^n \pm 1.

• People: Hendrik Lenstra, Dan Bernstein, Tanja Lange, Christiane Peters, Peng Tian, Julio Brau, Mak Trifkovic

Solving Conics

• a Conic class using Denis Simon's pari code, possibly mwrank, finding points over number fields, other fields?
• see sage trac #727 (and also #6881)
• People: Marco Streng, Mak Trifkovic, Peter Bruin, John Cremona

Sums of Squares

• People: Japp Spies, Dung Duong

Porting ECHIDNA code from MAGMA

• People: Lloyd Kilford