days4schedule/cohn - Sagemath Wiki

Henry Cohn:
- - I hate the E.conductor(). I would like conductor(E). - Make it so SAGE can open any format file. MATLAB can do.
  - Load a jpeg; fancy demos.
  - Want SAGE to be able to text message you when a
  - computation fixes.
  - Databases of math objects:
  - - should have 50 times as many - easy for random people to submit - e.g., I use Magma just for sloane's lattice tables,
    - which are built in.
    - refereed: people sign off on a database. - personal databases
  - Specific math that should be more developed:
  - - Optimization:
    - conj grad
    - newton
    - grad descent
    - Numerical computation of f'(x) in an *intelligent* way. - Give easy black boxes for clueless people but well
    - labeled boxes for other people.
    - Linear programing:
    - the best free ones are all mediocre,
      - so I have to use CPLEX (?). $10-20K/cpu/year.
    - But we could do exact, arbitrary precision, and double
      - precision LP solver that could do tons of comptuations with doubles without too much overhead.
    - Semidefinite programming:
    - nothing arbitrary precision available
    - implement a descent but not so super-good arbitrary precision
      - would be good.
    - Automorphism groups:
    - nauty.
      - But I want edge-labeled graphs!! It would be tremendously useful to deal with edge-labeled (hyper) graphs.
    - Cellular automata:
    - make it easy for someone with no clue to get beautiful
      - visualizations of cellular automata.
    - fractals; julia sets
    - Analytic Riemann Surfaces:
    - explicit covering maps in terms of hypergeometric functions
    - Bernard Deconinck (from UW applied math) -- maple code
    - Lesson plans:
    - Publish class-room tested lecture plans that use
      - SAGE
    - Get undergrads to make lesson plans.
    - NSF GK-12: UW grad students involved in local community.
    - Publish idealogical articles in off-beat places
    - You don't have to rely on other people; you get to
      - easily change things.
    - Students can makes things arbitrarily more complicated.