Scott Carnahan
Address: Department of
Mathematics, Massachusetts Institute of
Technology, 77 Massachusetts Avenue, Cambridge MA 02139.
Office: 2-271 Phone: 4-4981 Pneumatic Tube:
carnahan ("@" equals "at") m@h.mit.edu.
I have been a CLE Moore Instructor (pure math postdoc) since fall 2007, I study representation theory, with some emphasis on low-dimensional physics and arithmetic. My primary project concerns monstrous moonshine, and this involves some work with infinite dimensional Lie algebras, vertex algebras, algebraic curves, and automorphic functions. I am working on additional projects in chiral algebras and nonarchimedean geometry, but they are somewhat less developed.
I will be on the job market during the 2009-2010 year. The material behind the following links is still in flux.
For the spring 2009 term, I taught 18.086, Mathematical Methods for Engineers II. This was a class in numerical methods, aimed at graduate students in engineering. The main topics were: PDE initial value problems, large linear systems, and optimization.
Publications: (MathSciNet)
Slides from my talk at the ICMS workshop, on September 1, 2009. It may be a bit difficult to read, since it was aimed at vertex algebra specialists.
Here are some old notes:
