Expository Work


  •  Riemannian Geometry, 3rd edition,  New York: Springer-Verlag, GTM 171, 2016.
  • Linear Algebra, UTM, Springer-Verlag, 2012. With additional comments and notes Linear Algebra Notes.
  • Lecture notes: Smooth Manifolds, Transversality, and De Rham Cohomology can be found here
  • Notes on Differential Geometry for undergraduates.
  • Bott's book on Morse Theory typed by Guoran Ye as part of an REU
  • Bott's UCLA lectures typed and enhanced by Guoran Ye as part of an REU

Research

My research is on various aspects of Riemannian Geometry and recent papers can be found on ArXiv through the link below.
A complete CV is also available with links to most papers (last updated June 4, 2021).

PApers on mathscinet        Preprints on Arxiv