Welcome to my home page!

About me

I am a postdoctoral researcher at the Indian Statistical Institute (Delhi Center). Prior to this, I did my PhD at the Birla Institute of Technology and Science – Pilani.

My pic

My area of work is differential cohomology. During my PhD I mainly studied differential characters (which are a differential refinement of ordinary/singular cohomology) and their relationship to families of flat connections on vector bundles. I am now studying the Atiyah–Singer index theory and differential K-theory.

More broadly, I am interested in exploring the interactions between Differential Geometry, Algebraic Topology, and Physics. In the long run, I wish to learn subjects such as:

  • generalised differential cohomology theories and their relationship to M-theory
  • higher categories and higher gauge theories,
  • \(L_\infty\) algebras and their relationship to classical field theory and string theory
  • bundle gerbes, and
  • applications of differential K-theory to T-duality in String Theory.

Apart from Mathematics and Physics, I am interested in the RTI Act and Constitutional law. Am also an FOSS enthusiast.

I like to connect with like minded people. If you too share any of the above interests (mathematical or otherwise), do drop me an email! I would love to hear from you.

Research

Theses

Ph.D. Thesis Studies in differential cohomology

M.Phil. Thesis Non-gaussianities in the cosmic microwave background

Publications and preprints

Contact me

:envelope: Email: ishanmata [at] gmail (dot) com

Here is my public key

Social media: Mathstodon