Matthew B. Young
I am a Ph.D. student in the mathematics department and will be graduating in the spring of 2013. I am interested in representation theory with applications to geometry and mathematical physics.
My advisor is Michael Movshev.
Curriculum Vitae: pdf Research Statement: pdf
Contact Information
State University of New York at Stony Brook
Stony Brook NY, 11794-3651, USA
Office: Math Tower, 4-116
E-mail: myoung@deletethis.math.sunysb.edu
Research Interests
Representation theory. Moduli spaces of quiver representations. Hall algebras. Mathematical aspects of quantum field theory and string theory.Publications and Preprints
M.B. Young. "The Hall module of an exact category with duality." Pre-print. pdf arXiv:1212.0531M.B. Young. "Hall Modules Associated to Quivers." Presented at the poster session of the 2011 Canadian Mathematical Society Winter Meeting, Toronto, Ont.
R.B. Mann and M.B. Young. "Perturbative quantum gravity coupled to particles in (1 + 1) dimensions." Class. Quant. Grav. 24, 951-964. Journal arXiv
R.B. Mann, M.B. Young and I. Fuentes Schuller. "A Perturbative Approach to Inelastic Collisions in Bose-Einstein Condensates." J. Phys. B: At. Mol. Opt. Phys., 44 . Journal arXiv
Other Notes
"Open-Closed Field Theories in Two Dimensions." A talk given at Talbot 2010 workshop: Twisted K-Theory and Loop Groups, May. 27, 2010. Last updated June 1, 2010. See here for rough notes.
"Surface Group Representations." pdf ps Notes from Graduate Student Seminar, April 7, 2010. Last updated April 29, 2010.
"Chern-Simons Theory, Knots and Moduli Spaces of Connections." pdf ps Notes from RTG Seminar, March 1, 2010. Last updated March 3, 2010.
Current Teaching Activities
Spring 2013: MAP 103 Proficiency Algebra Home Page