Sage Days 15 Project Ideas

These are project ideas for Sage Days 15

MSVC 2008 port of PARI-2.4.2.alpha0

• Do a port of PARI-2.4.2.alpha0 to MSVC 2008, including MPIR support.

Low Level Simplicial Sets, CW Complexes, and Morphisms for Simplicial Complexes and Chain Complexes

PEOPLE: S. Ault, B. Antieau

• S. Ault has a CW Complex class up and running (including the chain_complex() method). The next step is to work on a homology_with_generators method within the ChainComplex

• B. Antieau has rudimentary simplicial complex morphisms, and is working on the functor to morphisms of chain complexes. No classes are implemented yet.

Prime Pi

PEOPLE: Fredrik Johansson, William Stein, Robert Bradshaw

• Investigate implementing the Meissel, Lehmer, Lagarias, Miller, Odlyzko for computing the number of primes up to x.

Steenrod Algebra cohomology (Yacop integration)

PEOPLE: Christian, John Palmieri, S. Ault, Benjamin Antieau, Bob Bruner

• A first version is already available. Here's a page with installation instructions: Yacop

Quaternion Algebras (implement odd power of p dividing level case)

PEOPLE: Alia Hamieh, Jerome Lefebvre, William Stein.

Sage/Magma Comparison Audit

PEOPLE: William Stein, Bill Hart, Robert Bradshaw, Alia Hamieh, Jerome Lefebvre.

• See sagebeatsmagma and magma

CANCELLED (already in Sage!) Generalized Bernoulli Numbers

PEOPLE: William Stein

• There is a simple 2 or 3 line formula for generalized Bernoulli numbers in terms of non-generalized ones, which could be used to speed up the chi.bernoulli_number(k) command (for a Dirichlet character chi) by a factor of thousands.

• more details

Cylindrical Algebraic Decomposition

PEOPLE: Carl Witty

Pynac Integration

PEOPLE: Mike Hansen, William Stein, Robert Bradshaw, Carl Witty

Sparse Linear Algebra

PEOPLE: Bill Hart, S. Ault

Javascript Graph Editor

PEOPLE: Rob Beezer, Mike Hansen, David Roe, Nicolas Thiery

eMPIRe Projects

PEOPLE: Bill Hart

Category Patches

PEOPLE: Nicolas Thiery, Robert Bradshaw, Mike Hansen, Craig Citro, Carl Witty

Notebook Work

PEOPLE: Mike Hansen, (William Stein), Tom Boothby