Publications

The following are my research work. Most of them can be found in MathArxiv.

Publications/(in Press):   

1.  Efficient generation, unimodular element in a geometric subring of a polynomial ring, Journal of Algebra and its Applications (to appear), 2024

https://doi.org/10.1142/S0219498826500866  (with Sourjya Banerjee, and Chandan Bhaumik)

2. Existence of a unimodular element in a projective modules over symbolic Rees algebras, Proceeding Mathematica Sciences. 133(47), 2023,  https://doi.org/10.1007/s12044-023-00768-w   (with Chandan Bhaumik)

3.  The third homology of symplectic groups and algebraic K-theory, to appear in American Journal of Mathematics (arxiv.org/abs/2111.01539 ), (https://preprint.press.jhu.edu/ajm/) (with Marco Schlichting). 

4. K_0-Stability of monoid algebras,  Annals of K-theory, 6 (2021), no 4, 629--649.

5. Negative K-theory and Chow group of monoid algebras, Contemporary Mathematics. AMS, ICM Satellite Proceedings(2019)  Arxiv Version. (with Amalendu Krishna).

6.  K-Theory of monoid algebras and a question of Gubeladze, Journal of the Institute of Math. Jussieu, (2017) 1--35 (with Amalendu Krishna).

7. Stability results for projective modules over Rees algebras, Journal of Pure and Applied Algebra  223(1) (2018)1--9 (with Ravi A. Rao).

8. Ideal class groups of monoid algebras, Journal of Commutative Algebra, {Vol. 9, No. 2} (2017) 303--312.

9. Serre dimension and Euler class group of  overrings of polynomial rings, Journal of Commutative Algebra, {Vol. 9, No. 2} (2017) 213--242. (with M.K. Keshari).

10. Serre dimension of monoid algebras, Proc.  Indian Acad. Sci. (Math. Sci.) {Vol. 127, No. 2} (2017) 269--280. (with M.K. Keshari).

11. Some results about projective modules over monoid algebras, Communications in Algebra {44 } (2016) 2256--2263.

Article in Progress/Preprints:

• • Cancellation and splitting of Symplectic modules in the critical range and Euler class group with Rakesh Pawar (2023), https://arxiv.org/abs/2312.15782

  • Complete Intersection in monoid algebras, in preparation 

PhD Students: 

(1) Md Abu Raihan (working on K-theory of monoid algebras)

(2) Sudip Manna (Algebraic Geometry)

(3) Soumik Mukherjee (Algebraic Geometry)

Former PhD Students:

(1) Chandan Bhaumik (Commutative Algebra: projective modules) 

MSc. Students Supervised: 

(1) Dinesh Kumar (2021) (2) Asit Kumar Sethy (2022) (3) Priya Jha (2022) (4) Amar Singh (2022) (5) Sohel Reja (2023) (6) Arijit Samal (2023)