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| * Tom Fisher's Magma code for invariants and covariants of plane cubics [[attachment:covariants.m]] | * Tom Fisher's Magma code for invariants and covariants of plane cubics [[attachment:covariants.m]], and for minimization and reduction of genus one models [[attachment:g1minimisation-2008.m]] [[attachment:g1reduction-2008.m]] [[attachment:minred-demo1.m]] [[attachment:minred-demo2.m]] * Ian Connell's lecture notes contain all the formulas needed to convert plane cubics and hyperelliptic quartics: see http://www.math.mcgill.ca/connell/public/ECH1/ (first several pages of Chapter 1 (c1.ps)). |
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* plotting, actions, fundamental domains * Java * port Verrill's fund.dom. program |
* plotting (arc of circle, filling domain bounded with arc of circles, ...) * actions (using the coercion model to act on Hyperbolic Plane element by matrices) * fundamental domains (port H. Verrill program and implement R. Kulkarni method) |
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| {{http://iml.univ-mrs.fr/~delecroi/hyp-pic1.png|cool hyperbolic picture 1}} {{http://iml.univ-mrs.fr/~delecroi/hyp-pic2.png|cool hyperbolic picture 2}} Related tickets * Trac 3313: [[http://trac.sagemath.org/sage_trac/ticket/3313|Old ticket for lifting of SL_m(Z/nZ) to SL_m(Z)]] * Trac 7424: [[http://trac.sagemath.org/sage_trac/ticket/7424|Inconsistency of SL and PSL]] * Trac 9076: [[http://trac.sagemath.org/sage_trac/ticket/9076|plot arc of circle]] Created tickets: * Trac 9437: [[http://trac.sagemath.org/sage_trac/ticket/9437|detected bug for special linear group over finite rings]] Todo: * create a class for fundamental domains and make pairings appear on the boundary * work on general subgroup of the modular group |
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| === Specific Projects === * Greatly improve [[http://nb.sagemath.org/|the Sage Notebook website]] * Improved information on the site: * how to setup a server * standalone server * with sage * how to develop the sage notebook: give a complete example of how to change something * Make site much prettier -- I think it is ugly. * Database * Users and basic configuration -- get the startup time of sagenb.org down from 20 minutes to 1 second by replacing users.pickle by a sqlite database, and rewriting the notebook server to use this database instead of making a list of *all* users (and other data about them) in memory. * worksheets -- see [[http://trac.sagemath.org/sage_trac/ticket/8757|trac 8757]]; This might also totally deal with the above "users and basic configuration" info. * Worksheet labels * linking between worksheets: [[http://trac.sagemath.org/sage_trac/ticket/5042|trac 5042]] is relevant * support library worksheets, so you can type, e.g., {{{load "library.sws"}}} |
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| * [[http://ttic.uchicago.edu/~kalai/papers/old_papers/factorcryptology.pdf|Kalai's paper]] | |
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| * mwrank... | |
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| * Write a Conic class using Denis Simon's pari code, possibly mwrank, finding points over number fields, other fields? * http://wiki.sagemath.org/days23/conics |
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
- General framework for the factor(n) command
- 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, 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
Ian Connell's lecture notes contain all the formulas needed to convert plane cubics and hyperelliptic quartics: see http://www.math.mcgill.ca/connell/public/ECH1/ (first several pages of Chapter 1 (c1.ps)).
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 (arc of circle, filling domain bounded with arc of circles, ...)
- actions (using the coercion model to act on Hyperbolic Plane element by matrices)
- fundamental domains (port H. Verrill program and implement R. Kulkarni method)
- People: Vincent Delecroix, Maite Arianes, Thijs van Dijk
Related tickets
Trac 7424: Inconsistency of SL and PSL
Trac 9076: plot arc of circle
Created tickets:
Todo:
- create a class for fundamental domains and make pairings appear on the boundary
- work on general subgroup of the modular group
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
Specific Projects
Greatly improve the Sage Notebook website
- Improved information on the site:
- how to setup a server
- standalone server
- with sage
- how to develop the sage notebook: give a complete example of how to change something
- how to setup a server
- Make site much prettier -- I think it is ugly.
- Improved information on the site:
- Database
- Users and basic configuration -- get the startup time of sagenb.org down from 20 minutes to 1 second by replacing users.pickle by a sqlite database, and rewriting the notebook server to use this database instead of making a list of *all* users (and other data about them) in memory.
worksheets -- see trac 8757; This might also totally deal with the above "users and basic configuration" info.
- Worksheet labels
linking between worksheets: trac 5042 is relevant
support library worksheets, so you can type, e.g., load "library.sws"
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
- People: Marco Streng, Mak Trifkovic, Peter Bruin, John Cremona
- Write a Conic class using Denis Simon's pari code, possibly mwrank, finding points over number fields, other fields?
Sums of Squares
- People: Japp Spies, Dung Duong
Porting ECHIDNA code from MAGMA
- People: Lloyd Kilford