** Indian Institute of Technology Kharagpur, India.**

**Research interest: My broad area of research is in the interface of algebraic K-theory, algebraic geometry and **

**commutative algebra****. At present, I am interested in the K-theory of monoid algebras and toric varieties/schemes.**

**Motivated by the work of ****Asok-Fasel, I am interested in the problem of having rank one free summand (nowhere**

**vanishing section) of projective modules ****(algebraic vector bundles) over singular affine algebras (schemes).**

**Due to their work, I am also interested in A^1-homotopy theory, ****Hermitian K-theory and it's applications to the**

(affine) algebraic geometry.

**In my thesis, I have worked on projective modules over monoid algebras / affine toric varieties/schemes. **

**More specifically, I study the problem of having rank one free summand (nowhere vanishing section) of **

projective modules **(algebraic vector bundles) over monoid $R$-algebras (affine toric scheme over $\Spec(R)$)**

under some** rank|dimension condition. These study naturally leads to the study of K-theory of toric varieties which**

is my current interest of research.

**I have studied the Quillen K-theory over some affine singular toric schemes. I have also computed the Euler class**

group** of some ****commutative rings. To know more about my research work, please see the research section.**