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| These are project ideas for [[days15|Sage Days 15]]. | These are project ideas for [[days15|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 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. |
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| PEOPLE: Christian, John Palmieri, S. Ault, Benjamin Antieau, Bob Bruner | PEOPLE: Christian, John Palmieri, S. Ault, Bob Bruner |
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| == 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. |
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| PEOPLE: William Stein, Bill Hart, Robert Bradshaw | PEOPLE: William Stein, Bill Hart, Robert Bradshaw, Alia Hamieh, Jerome Lefebvre. |
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| == Generalized Bernoulli Numbers == | * 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. |
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| PEOPLE: William Stein | == CANCELLED (already in Sage!) Generalized Bernoulli Numbers == PEOPLE: William Stein |
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== Latex for (Combinatorial) Graphs == PEOPLE: Rob Beezer, Fidel Barrera, John Palmieri, Emily Kirkman [[attachment:view-graphs.png|Screenshot]] [[http://trac.sagemath.org/sage_trac/ticket/5975|Details at #5975]] == Wrap mpmath == PEOPLE: Fredrik Johansson |
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 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.
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.
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
Wrap mpmath
PEOPLE: Fredrik Johansson