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  * 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   * 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 (See trac #5882).

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 (See trac #5882).

  • B. Antieau has simplicial complex morphisms, and has the functor to morphisms of chain complexes.
    • There are simplicial complex morphism and chain complex morphism classes, and there is a method on the former to produce and instance of the latter, including base rings, augmentation, chain v. cochain.
    • Working on various associated complexes of a map, like graph, mapping_{cone,cylinder,path_space}.
    • Working on fiber products.
    • Prepping for induced maps on homology, cohomology, ring structure on cohomology.

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, 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.

  • Alia understands all the math involves, and we'll start working on the algorithm tonight.

Sage/Magma Comparison Audit

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

  • See sagebeatsmagma and magma

  • Alia compared all of the functionality in both quadratic forms package and algebraic geometry package. She also has implemented an algorithm to be included in the binary quadratic form package.
  • Jerome has done so for representation theory and is working on improving the group algebra in sage.

And we are both done with comparing.

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

Latex for (Combinatorial) Graphs

PEOPLE: Rob Beezer, Fidel Barrera, John Palmieri, Emily Kirkman

Screenshot

Details at #5975

Wrap mpmath

PEOPLE: Fredrik Johansson

days15/projects (last edited 2009-05-21 19:33:38 by rbeezer)