Publications

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

Publications/(in Press):   

1. 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 

2.  The third homology of symplectic groups and algebraic K-theory, to appear in American Journal of Mathematics (arxiv.org/abs/2111.01539 ), (with Marco Schlichting). 

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

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

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

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

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

8. 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).

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

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

Article in Progress/Preprints:

• • Complete Intersection in monoid algebras, in preparation

  • Efficient generation, unimodular element in a geometric subring of a polynomial ring

with Sourjya Banerjee, Chandan Bhaumik, Submitted. (2022), https://doi.org/10.48550/arXiv.2301.11033

PhD Students: 

(1) Chandan Bhaumik (working on projective modules) 

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

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)