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| == Riemann-Roch Space (Normalization) == | == Function Fields == |
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| 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. | |
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| * There are function fields over an arbitrary base field * basic infrastructure |
* Trac 9054: [[http://trac.sagemath.org/sage_trac/ticket/9054|Create a class for basic function_field arithmetic for Sage]] * Trac 9094: [[http://trac.sagemath.org/sage_trac/ticket/9094|is_square and sqrt for polynomials and fraction fields]] * Trac 9095: [[http://trac.sagemath.org/sage_trac/ticket/9095|Heights of points on elliptic curves over function fields]] |
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| * People: Andy Novocin, Wieb Bosma, Johannes van der Horst, Bill Hart | * People: Andy Novocin, Wieb Bosma, Johannes van der Horst, Bill Hart, Max Flander |
Contents
- sage-4.5
- ABC at home
- Models for elliptic curves
- Function Fields
- Hyperbolic geometry
- Ticket #4000 on rational polynomials... QQ[x] via FLINT
- Sage on GPU's
- ZZ[x] factoring in FLINT, plus LLL
- MPIR projects
- Ticket #4260 - Sage + Linbox
- Sage Notebook in the classroom
- code used to get new ECM speed records
- Solving Conics
- Sums of Squares
- Porting ECHIDNA code from MAGMA
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
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.
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
- People: William Stein, Maarten Derickx, Peter Bruin, Jan Tuitman, Max Flander, Tanja Lange, Michiel Kosters, Christiane Peters, Marco Streng
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
code used to get new ECM speed records
- mpfq is LGPL!
- People: Hendrik Lenstra, Dan Bernstein, Tanja Lange, Christiane Peters, Peng Tian, Julio Brau, Mak Trifkovic
Solving Conics
- mwrank...
- People: Marco Streng, Mak Trifkovic, Peter Bruin
Sums of Squares
- People: Japp Spies, Dung Duong
Porting ECHIDNA code from MAGMA
- People: Lloyd Kilford