Yanli   Song



Contact Information:

  • Email: songyanl@math.utoronto.ca   ylsong@me.com
  • Address: 40 St. George Stree, Toronto, Ontario, Canada M5S 2E4 
  • Telephone: +14164549011

Positions:

  • 2013.9 -   Postdoctoral Fellow in Mathematics at University of Toronto



Education:

  • 2008-2013 Ph.D, Mathematics, Penn State University, Advisor: Nigel Higson
  • 2004-2008 B.S, Mathematics, Fudan University

Research Interests:

  • Noncommutative geometry
  • Representation theory
  • Symplectic geometry
  • Here is my Research Statement.


Publications:

     1. Peter Hochs and Yanli Song. An equivariant index for proper actions I. 2016. 47 pages.  Submitted. 
        arXiv: 1512.07575
     2. Peter Hochs and Yanli Song. An equivariant index for proper actions II: properties and applications. 2016. 39 pages.  Submitted. 
        arXiv: 1602.02836
     3. Peter Hochs and Yanli Song. An equivariant index for proper actions III: the invariant and discrete series indices. 2016. 30pages. Submitted. 
        arXiv: 1412.5348
     4. Peter Hochs and Yanli Song. Equivariant indices of Spinc-Dirac operators for proper moment maps. 2015. 57 pages. Submitted.
        arXiv: 1503.00801
     5. Peter Hochs and Yanli Song. On the Vergne conjecture. 2015. 9 pages. Submitted. 
        arXiv: 1509.02425
     6Yanli Song. A K-homological approach to the quantization commutes with reduction problem. 2014. 23 pages. Submitted.   
        arXiv: 1404.4840
     7. Yanli Song. Dirac oeprators on quasi-Hamiltonian G-spaces, 2015. 24 pages, To appear in Journal of Geometry and Physics. 
        arXiv:1503.03150
     8Nigel Higson and Yanli Song. K-theory and the quantization commutes with reduction problem. 2014. 30 pages.
         Chin. Ann. Math. Ser.B 35, no. 5, 703-732



Recent Talks:

  • Mathematical physics seminar, University of Geneva. Mar 2016.
  • Gone Fishing Meeting on Poisson Geometry, University of Colorado at Boulder. Mar 2016
  • Geometry and physics seminar, Penn State University, Mar 2016.
  • AMS Sectional Meeting, Athens, Georgia. Mar 2016.
  • Wabash Modern Analysis Seminar, Wabsh College. Feb 2016.
  • Noncommutative Geometry Seminar, Western University. Nov 2015.
  • Noncommutative Geometry Seminar, Texas A&M University. Oct 2015.
  • IGA/AMSI Workshop on Geometric Quantization, University of Adelaide. Jul 2015.
  • Workshop on Noncommutative Geometry and Spectral Invariants, UQAM. Jun 2015.
  • CMS Winter Meeting, Hamilton. Apr 2014.
  • Gone Fishing Meeting on Poisson Geometry, University of California at Berkeley. Nov 2014.
  • The 12th East Coast Operator Algebras Symposium, Fields Institute. Oct 2014.
  • CMS Summer Meeting, Winnipeg. Jul 2014.
  • Further Development of Atiyah-Singer Index Theorem and K-theory, University of Kyoto. Dec 2013.
  • Noncommutative Geometry Seminar, Western University. Nov 2013.
  • AMS Sectional Meeting, Washington University at St.Louis. Oct 2013.
  • Cornell-PSU Joint Seminar, Cornell University. Oct 2012.
  • Gone Fishing Meeting on Poisson Geometry, University of California at Los Angeles. Sep 2012.
  • The 4th International Conference on Geometry and Quantization, Chern Institute. Sep 2011.