My name is Roman Kogan. I am a math PhD student at Texas A&M University. My undergraduate degree was from SUNY Stony Brook.
Research and other work
Here is some of my work:
- Joint paper with B.Bischof, D.N.Yetter:
On a Basis for the Framed Link Vector Space Spanned by Chord Diagrams
, accepted for publication in Journal of Knot Theory and Ramifications.
See Preprint at ArXiv.
- Chord Diagrams, a Java/Mathematica software for that paper;
- NvTrees, n-dimensional Thompson groups calculator (Java Applet and Standalone);
- Evolutes, a program that draws involutes, evolutes an osculating circles for a given curve.
- If you are into computational geometry, you might like the Delaunay triangulation applet, which illustrates the algorithm of computing it by a lift to paraboloid.
- If you need to visualize the Newton polyhedron of a polynomial and count lattice points inside it, Newton Polytope applet does precisely that.
- Explore the Mandelbrot Set in a cool way (online dynamic rendering right on the web page, via Processing).
Curriculum Vitae: [PDF]
Teaching: MAT 152 Spring 2014.