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.
  • A growing essay on manifold theory, de Rham cohomology and more for first year graduate students.
  • Counting methods in combinatorics and handout on max flow min cut.
  • Notes on Differential Geometry for undergraduates.


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 Nov 4, 2019).

PApers on mathscinet        Preprints on Arxiv