= Sage Days 5 Working Sprint Projects =

[[http://video.google.com/videoplay?docid=1589461731048191073&hl=en|Google Video of the Final Status Reports]]

Put a quick summary here with a link to another page for more details

   * [[/ntl| NTL wrapper]] -- do the NTL wrapper right
         * Joel Mohler,  Robert Bradshaw, Craig Citro, David Roe, Martin Albrecht, Gonzalo Tornaria, (William Stein)
   
   * [[/ellcurve| Elliptic curves]] -- basic improvements to elliptic curves
         * Martin Albrecht, David Roe, Dimitar Jetchev, Ifti B., William Stein, Drew Sutherland, Mark Watkins, (Craig Citro, Soroosh Yazdani, Kiran Kedlaya)
 
   * [[/heegner| Heegner Points]] -- 
         * Matt Greenberg, Dimitar Jetchev, Gonzalo Tornaria (Samit Dasgupta)

   * [[/padic| p-Adic Arithmetic]] -- once again into the breach
         * David Roe, Craig Citro, Kiran Kedlaya, Matt Greenberg, David Harvey (Soroosh Yazdani, Fernando R-V., Abhinav Kumar, Nils Bruin, Amnon Besser, Bill Hart), 
        
   * [[/modules| Tensor products, quotients, etc., of free modules]] -- tensor products and quotients of free modules
         * Soroosh Yazdani, William Stein, Justin Walker, Mike Hansen (remotely)

   * [[/magma| Improve the Sage/Magma Interface]]
         * Nils Bruin, William Stein (if time permits)



   * [[/lll| LLL]]
       Including wrap Damien's fplll code, finding heuristic for best algorithm to use, benchmarketing, etc. 
         * Martin Albrecht, Soroosh Yazdani, Bill Hart (lll heuristic!), 




   * [[/coleman| Coleman integrals and p-adic heights (on  Jacobians of genus 2 curves]]
         * Jennifer Balakrishnan, Amnon Besser, Robert Bradshaw, David Harvey, Kiran Kedlaya, Soroosh Yazdani, Ifti B., (William Stein)



   * [[/divisorarith| Divisor arithmetic]] (Riemann-Roch spaces, linear equivalence) for (plane) curves
         * Nils Bruin (but I need help from someone who knows e.g. Singular: Martin Albrecht), Kiran Kedlaya, (Amnon Besser), 



   * [[/coeff_impl|  Coefficient Arithmetic]] Design ideas about reusing SAGE types in derived SAGE types
         * Joel Mohler, Robert Bradshaw, Craig Citro, David Roe, William Stein, Martin Albrecht, David Harvey



   * [[/matrix_mod2_window| MatrixWindow_mod2_dense]] i.e. Strassen for this type
         * Martin Albrecht, David Harvey, Robert Bradshaw (Bill Hart)

   * [[/sparse_mod2| Mod-2 Sparse Linear Algebra]] 
         - Jason P. gave an F_2 linear algebra program to Bill Hart.  Wrap it and put it in Sage and benchmarket it. And thank Jason P.
    Bill Hart, Martin Albrecht, Michael Abshoff, 

   * [[/mpolynomial_nf|MPolynomial_libsingular over Number Fields]] This involves writing conversion routines only
         * Martin Albrecht, William Stein, Joel Mohler, Evil Twin.


   * [[/memleak|Memory Leaks and Valgrind Usage]] 
      - memory leaks in Cython, dictionaries, ref counts
      - valgrind
       
      * Michael Abshoff, Robert Bradshaw, David Harvey, Craig Citro, William Stein, Soroosh Yazdani,