Advisors: William Cook and Yi-Zhi Huang
My email: csadowski [at] gmail [dot] com
For a quick rundown of the things this project deals with (basic definitions, ideas, etc.), click here: Notes and Definitions
For an example of an affine Lie algebra module which has vertex operator algebra structure, click here: A semi-construction
REU Final Presentations: For my slideshow presentation along with some results, click here: Slides and Results
Slides from my talk at the GSUMC: Slides
April 2008: I will be speaking about my project and results on Saturday, April 12, 2008 at the Garden State Undergraduate Math Conference. Slides will be posted shortly, or come to the conference to see them presented :).
March 2008: After a Fall semester hiatus, we've resumed work on the project. Details and paper to come.
Update(8/22/07): We have found patterns and have results for all simple Lie algebras! We now know the behavior for ALL simple Lie algebras, a huge step up from the results in the slides above. Bill Cook has written a Maple program that has verified that our patterns hold. Only proofs remain.
2007: Types A_1, A_2, A_3, A_4, D_4, E_8, F_4, G_2 have been worked
out, and things seem messy. See the REU Final Presentations
slides posted above for more
My Rutgers Math Homepage Gmail Last Update: 06/20/08
My Rutgers Math Homepage
Last Update: 06/20/08