Projects and Interests

Mathematically speaking, I’m interested in subjects where smoothness is important, like manifold theory, analysis, and such, and that have a strong geometric flavor, like functional analysis, Hilbert and Banach space theory. In my spare time, I program, and daydream about having artistic ability.

Projects I’m working on/ interested in working on: nada, nil, zip … for now.

Projects I’m interested in working on:

  • a robust implicit curve tracer
  • a robust polygonizer for implicit surfaces that guarantees topological correctness
  • as general a texturing algorithm for implicit surfaces as possible
  • extending pbrt to support implicit surfaces
  • a radiosity renderer
  • an IDE for Postscript development
  • LaTeXRender
  • IllustRender
  • a literately programmed, cross-platform, cateogry theoretic CAS with a document interface and Scheme as a interface/extension language
  • graphical frontend to Axiom
  • writing a mathematical magnum opus which becomes a classic on the order of Baby Rudin :)