Songhao Li

Visiting Assistant Professor

Ph.D in Mathematics, University of Toronto. 2013
M.Sc. in Mathematics, University of Toronto. 2007
B.Sc. in Mathematics and Physics, University of Toronto. 2006

Office: 260 Hurley Hall
Phone: (574) 631-0073
Fax: (574) 631-6579

For additional information see Songhao Li’s Personal Page.

Research Interests

My research interests are in di fferential geometry. Specifically, I work in Poisson geometry, and the related mechanics and physics problems.
In particular, I am interested in a class of Poisson manifolds, called log symplectic manifolds, which are generically symplectic but degenerate along a hypersurface. Together with my collaborators, I have studied the symplectic groupoids and the toric symmetries of log symplectic manifolds.

Selected Publications

  • Symplectic groupoids of log symplectic manifolds. M. Gualtieri, S. Li. Internationa Mathematics Research Notices 2014 (11), 3022-3074
  • The tropical momentum map: a classification of toric log symplectic manifolds. M. Gualtieri, S. Li, A. Pelayo, TS Ratiu. Mathematische Annalen, 1-42.
  • The Stokes groupoids. M. Gualtieri, S. Li, B. Pym. Journal für die reine und angewandte Mathematik (Crelles Journal)

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