Publications

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

Publications/(in Press):   

1. Existence of unimodular elements and cancellation of projective modules over Rees-like algebras and its various extensions, Internationa Journal of Algebra and Computation (IJAC), to appear, 2026. (with with C. Bhaumik, and Md A Raihan). https://doi.org/10.1142/S0218196726500293 

2. Cancellation and splitting of Symplectic modules in the critical range and Euler class group, International Mathematics Research Notices (IMRN) (to appear), 2026. (with Rakesh Pawar)

3.  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)

4. 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)

5.  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). 

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

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

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

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

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

11. 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).

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

13. 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)