can math knowledge be useful for some Free software project ?
I know that's a weird question, but anyway :
I'm a research mathematician (well, officially still a student), doing mostly "abstract" algebra, geometry, number theory and other such "useless" things.
I would love to make myself useful in some way to Free Software. I'd like to contribute to some project in a way that would make use of some mathematics I know.
I know there's not much hope that someone has got work for me....
but just in case, here's what I'm relatively knowledgeable about.
Algebraic Geometry (Schemes, sheaves, curves, surfaces...)
Algebraic number theory,
Class Field theory
Elliptic Curves/Modular forms
Function fields, Drinfeld modules
Noncommutative Geometry (C*-algebras...)
Quantum Statistical Mechanics (mathematical point of view)
K-theory (both topological and C*-algebraic)
And I should add that I'm not interested in writing another math library - there are just so many of them, and they are already quite good IMO. I'd like to apply my mathematics to something else that just mathematics... the problem being that my maths are theoretical/fundamental math, not traditional applied maths...
Don't hesitate to let me know if I can help for something.