= Projects for Sage Days 60 =

== Tutorials ==

* Version control with GIT: 2

* Quick categories intro: 3

* Overview of Graph theory feature

* Intro to Algebraic Number Theory

Here are useful links for Number Theory in Sage:
 
   1. [[http://www.math-cs.gordon.edu/~kcrisman/mat338/index.html|Here]] are some lecture notes using Sage on Elementary Number Theory by Karl-Dieter.
   2. Sage [[http://www.sagemath.org/pdf/en/reference/number_fields/number_fields.pdf| reference manual]] for number fields. 
   3. [[http://wstein.org/books/ant/ant.pdf|Here]] is a book by William Stein on Algebraic Number Theory.  

Kn: [[attachment:Alg_Num_Thy.sws|Here]] is my Sage Worksheet. This is heavily bases on the references (2) and (3) above. 

* Contributing to Sage

* Tutorial: Using GAP from Sage

* Explore: polytopes

* Tutorial: optimized code with Cython

* Tutorial: commutative algebra

* Tutorial: Homological algebra

* Creating sage packages

* Tutorial: SageTeX

== Knot theory ==

Review the existing features in Sage (anything) and elsewhere, and create some tickets of achievable features in the mid-run

 * As we see here, http://ask.sagemath.org/question/8255/knot-theory-and-sage/ there is demand for this.
 * Older ideas for many topological things are here http://wiki.sagemath.org/topology
 * Here is someone using braid group implementation to do basic knot things https://quantumtetrahedron.wordpress.com/tag/knot-theory/
 * Here is someone who even did some thinking about how to organize it: https://github.com/amitjamadagni/Knots/wiki/Knot-theory-implementation
 * Here is where braid groups were implemented: http://trac.sagemath.org/ticket/12339

== Representation Zeta functions ==

== Expose more features from Symmetrica ==

#15555
Amri

== Quadratic forms over ch=2 ==

== Class for bilinear and sesquilinear forms ==

== Error estimates for differential difference equations ==
Approximation of solution of a general equation. 
To solve the equation at a given point with value and error.
(Reference http://www.ams.org/journals/mcom/1969-23-106/S0025-5718-1969-0247789-3/S0025-5718-1969-0247789-3.pdf, http://en.wikipedia.org/wiki/Dickman_function )
#16601
Kamalakshya

== Rational points on elliptic curves ==

== Play with finite dimensional Hopf algebras ==

Implement a couple, look for dimensions of comodules (by duality)

Mamta

== Review of tutorials from the Sage-Combinat queue ==

#3624 coding theory -- A trivial review, now done! 

Kamalakshya, Kannappan 

== Reorganize the combinatorics documentation indexes into src/sage/combinat ==

#16256

Anne, Karl, Nicolas, Travis

== Conditional expectations of multivariate random variables ==



== Dimer model ==

Implement, import or interface existing soft

Counting, sampling, ...

Arvind

== Lie algebras ==

More work on the ticket, review, play with, split, ...

Travis, ...

== Categories and Morphisms for crystals ==

Anne, Nicolas, Travis

== Ticket #16126 on Coxeter Groups ==

Kannappan: I am interested in this ticket. I guess a minimal implementation should not take extremely long...