Presently, I'm thinking about questions related to a generalised branching rule for classical Lie groups, where the multiplicities can be seen as a representation themselves.
I'm also involved in research on machine learning in mathematics ( check this seminar series ), and and some other areas as well.
I'm also interested in the mathematics behind origami and the way origami can be used for solving equations.
“Littlewood-Richardson coefficients as a signed sum of Kostka numbers" (arXiv).
“Ring of Analytic Functions on [0,1]" (arXiv).
“Relative Weyl Character formula, Relative Pieri formulas and Branching rules for Classical groups", joint work with C.S. Rajan" (arXiv).
“An uncountable number of proofs of Pythagoras Theorem", joint work with Gaurav Bhatnagar (Link).
“A ring for proposal of a nontrivial Dedekind domain" joint work with Prof. B. Sury and Vaibhav Pandey," (Link).