Scott Carnahan
**Address:**
University of Tsukuba
**Office:** Science Building B, room 816
**Email:** still being set up
**IPMU location:** A48

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.

- Curriculum Vitae (Updated 10/30/12)
- Papers (New preprint 8/30/12)

Slides:

- Slides from my talk on singular commutative rings at the ICMS workshop, on September 1, 2009. It may be a bit difficult to read, since it was aimed at vertex algebra specialists.

Old teaching and seminar materials:

- For the spring 2010 term, I taught 18.784, seminar in number theory at MIT. It was aimed at advanced undergraduates in mathematics, and focused on modular forms.
- For the spring 2009 term, I taught 18.086, Mathematical methods for Engineers II, at MIT. It was aimed at graduate students in engineering, and focused on PDE initial value problems, large linear systems, and optimization.
- During the spring 2008 semester, I co-organized the pre-Talbot seminar with John Francis, at MIT. The topic was geometric Satake correspondence for quantum groups

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- dvi.gz pdf ps.gz Notes from Borcherds' spring 2004 seminar on quantum field theory (very much out of date - additional info) 45pp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
- I. M. Gelfand, D. A. Kazhdan, Some problems of differential geometry and the calculation of cohomologies of Lie algebras of vector fields, Soviet Math Dokl. 12 (1971) no. 5 1367-1371. I typed this up because it was nearly impossible to find.

Classes: 917 787 Dennis MIT Harvard

Pages: Stacks, Geom. Langlands, Conrad, Lurie, Kisin, Mumford, Kanji, Rakugo