Yanli Song is interested in equivariant index theory for manifolds with various group actions, interactions with non-commutative geometry, symplectic geometry, and representation theory.
Before joining the Washington University mathematics department in 2017, Yanli Song was the John Wesley Young Research Instructor of mathematics at Dartmouth College. Previously, he earned his doctorate at Pennsylvania State University and held a postdoctoral position at the University of Toronto. His recent papers include “On the Vergne conjecture” and “A K-homological approach to the quantization commutes with reduction problem.”