Yanli Song 

 Department of Mathematics

 University of Toronto

 songyanl at math.utoronto.ca




Positions and Education
Postdoctoral Fellow, University of Toronto, Aug. 2013 -
Supervisor :  Eckhard Meinrenken and George Elliot
Ph.D.  Pennsylvania State University, Aug. 2008- Aug.2013
Advisor :  Nigel Higson
B.S   Fudan University, Aug. 2004- Aug. 2008 

Research Interests

I am interested in noncommutative geometry, symplectic geometry and representation theory.


Publication and Preprints

  • Localization in q-Hamiltonian G-spaces, in preparation
  • Equivariant indices of Spin^c-Dirac operators for proper moment maps, (with Peter Hochs) [pdf]
  • Dirac operators on quasi-Hamiltonian G-spaces [pdf]
  • Formal Verlinde module [pdf]

  • A K-homological approach to the quantization commutes with reduction problem, submitted  [pdf]

  • K-theory and the quantization commutes with reduction problem, (with Nigel Higson),Chin. Ann. Math. Ser. (2014)

  • Ph.D. thesis: Proper moment maps, bordisms and geometric quatizations. [pdf]


Teaching

I am currently teaching MAT136 Calculus I in Spring 2015.

The course I taught in the past at Toronto:

  • Fall 2014, MAT 244 - Differential equations;
  • Fall 2013-Spring 2014, MAT 237 - Advanced calculus.