Scott Carnahan Address: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge MA 02139. Office: 2-308 Phone: 4-1507 Pneumatic Tube: carnahan ("@" equals "at") m@h.mit.edu.

I am a CLE Moore Instructor, here until June 2010. 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.

For the spring 2009 term, I am teaching 18.086, Mathematical Methods for Engineers II. It meets on MWF 1-2pm, in room 2-132.

pre-Talbot, Spring 2008

Publications: (MathSciNet)

• arXiv Generalized Moonshine I: Genus zero functions Submitted
• dvi.gz pdf ps.gz Counting Hopf Galois structures on non-abelian Galois field extensions. (with L. Childs), J. Algebra Vol 218 No.2, August 1999, 81-92.

Here are some old notes:

• dvi.gz pdf ps.gz Notes from Borcherds' spring 2004 seminar on quantum field theory (very much out of date - additional info) 45pp
• dvi.gz pdf ps.gz Borcherds' fall 2003 lectures on the lattice II_1,25. 10pp
• dvi.gz pdf ps.gz Notes from Cheewhye Chin's seminar on Langlands correspondence for GL_r over function fields, 2002-2003. 135 pp
• pdf Notes on the geometric Langlands program, from Talbot 2005. Megumi Harada scanned 81 pages of her notes, and I added one of mine (the ugly one). 10MB

917 787 MIT Harvard

Do I wave my hands too much?

blog