Tyler Friedman

Tyler Friedman

"Learning does not make one learned: there are those who have knowledge and those who have understanding. The first requires memory, the second philosophy."
-Abbé Faria, The Count of Monte Cristo

Towards a Szego Limit Theorem for Berezin-Toeplitz Operators with Singular Symbols

During the summer of 2012 I studied the spectrum of self-adjoint Toeplitz matrices under the direction of Alejandro Uribe in an REU at the University of Michigan’s Department of Mathematics. I proved the Szego Limit Theorem for a very specific type of Berezin-Toeplitz operator, and made a conjecture for more general symbols.

[Report]