معرفی
Yanli Song is an Associate Professor of Mathematics at Washington University in St. Louis, affiliated with the Department of Mathematics. He holds a PhD from Pennsylvania State University and has held postdoctoral positions at the University of Toronto and Dartmouth College as a John Wesley Young Research Instructor. His research focuses on noncommutative geometry, symplectic geometry, and representation theory, particularly exploring equivariant index theory and interactions between these fields. Song’s work includes studies on orbital integrals, K-theory, geometric quantization, and the quantization commutes with reduction problem.
Education:
- PhD in Mathematics, Pennsylvania State University
- Postdoctoral Fellow, University of Toronto
- John Wesley Young Research Instructor, Dartmouth College
Research Interests: Song investigates advanced topics such as equivariant index theory for manifolds with group actions, noncommutative geometry applications, and symplectic reduction techniques. His recent work addresses the Connes-Kasparov isomorphism, orbital integrals, and geometric quantization of Hamiltonian loop group spaces.
Publications Trends: His articles emphasize K-theory, index theory, and geometric quantization, often intersecting symplectic and noncommutative geometry. Notable themes include the analysis of orbital integrals, C*-algebras of reductive groups, and the interplay between representation theory and geometric structures.
Awards:
- NSF Grant (2018)
Grants & Advising: Song secured an NSF grant in 2018, though no specific advising details are provided. His research has been published in top-tier mathematical journals, reflecting his contributions to geometric and algebraic analysis.
Labs/Teams: No specific lab or team affiliations are mentioned, though his collaborations are evident through co-authored works in geometric analysis and representation theory.
