I'm a student in the Applied Mathematics depatment at the University of
Washington. My research is in "computational complex algebraic geometry". I do
a mixture of symbolic and numerical computation.
Special functions.
Algebraic curves. (Bi-variate polynomial.)
Algebra and geometry.
f(x,y)=y3+2x3y−x7
f(x,y)=0 plotted in the real plane.
Cartoon of complex topology of f(x,y)=0. (You need 4-dimensional eyes
to actually visualize it.)
Abelian functions: higher dimensional versions of complex periodic functions.
Defined on algebraic curves.
All Abelian functions are built from Riemann theta functions.
Periodic solutions to integrable partial differential equations are dense
in space of Abelian functions.
Applications in optimization and algebraic geometry as well.
I have some background in high performance computing.
Special functions: Riemann theta function.
Computational number theory.
GPU / CUDA.
I'm working on a project with Daniel Shapero on a FORTRAN-to-C wrapper
called f2c. (Similar idea to
Cython for C-to-Python.) However, I'm happy to help with anything!
