About me

I received my Ph.D. in 2015 from the Ohio State University, Columbus under the supervision of Henri Moscovici. Currently, I am a postdoctoral fellow in the Geometry and Mathematical Physics group, at SISSA, Trieste.

Research Interests

I study noncommutative geometry developed by Alain Connes and many other mathematicians around the 80’s, with applications in differential geometry and topology. The basic tools include K-theory, cyclic cohomology, Morita equivalence, operator-theoretic index theorems and Hopf algebra symmetry. Global analysis, especially tools like pseudo-differential calculus for studying heat kernel expansions, is heavily involved in my current research.


  • Sep. 2016 - Dec. 2018, Postdoctoral fellow at MPIM, Bonn
  • Jan. 2019 - Apr. 2019, Riemann fellow at Riemann Center for Geometry and Physics (Leibniz University), Hannover

Contact Information

Email (Work): yliu@sissa.it
Email (Personal): yang.liu.hit@gmail.com

SISSA - Scuola Internazionale Superiore di Studi Avanzati
Via Bonomea n. 265
34136 Opicina (Trieste)

Room: A-547
Phone Number: +39 040 3787 463