Yanli Song

     Yanli Song 


       Department of Mathematics

       University of Toronto

       Email: songyanl at math.utoronto.ca

I am a Postdoctoral Fellow in mathematics at University of Toronto.I get my Ph.D at Pennsylvania state university .Here is my Curriculum Vitae.

I am interested in noncommutative geometry, symplectic geometry and representation theory.Here is my Research Statement.

Publication and submitted papers:

  • On the Vergne conjecture [pdf]
   (joint with Peter Hochs), 2015
  • Equivariant indices of Spin^c-Dirac operators for proper moment maps,[pdf] 
   (joint with Peter Hochs), 2015
  • Dirac operators on quasi-Hamiltonian G-spaces, [pdf] (2015)
  • A K-homological approach to the quantization commutes with reduction problem, [pdf] (2014)

  • K-theory and the quantization commutes with reduction problem, Chin. Ann. Math. Ser.

   (joint with with Nigel Higson), (2014)

Preprint and in preparation:

  • Formal Verlinde module [pdf]
  • Proper maps, bordisms, and geometric quantization [pdf]
  • K-homological index for proper action, (joint with Peter Hochs)