I am currently pursuing a postdoctoral position at IIT Dharwad. I completed my Ph.D. in Mathematics under the supervision of Prof. Tony J.Puthenpurakal from IIT Bombay. My primary research interests lie in the field of Commutative Algebra, with a particular focus on Hilbert coefficients of Noetherian filtrations and free resolutions of Cohen-Macaulay modules.
Here is my CV.
Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules, J. Algebra 658 (2024), 38–48. (with Tony J. Puthenpurakal)
On unmixed and equi-dimensional associated graded rings, Proceedings-Mathematical Sciences, 2026. (with Tony J. Puthenpurakal)
Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules, Journal of Commutative Algebra, 2026. (with Tony J. Puthenpurakal)
Coherent functors, power of ideals, and asymptotic stability, arXiv preprint arXiv:2506.00529 (2025). (with Souvik Dey, Dipankar Ghosh, Siddhartha Pramanik, Tony J. Puthenpurakal)
Quasi-Hilbert rings and Ratliff-Rush filtrations, arXiv preprint arXiv:2512.21168 (2025). (with Tony J. Puthenpurakal)
Integrally closed ideals with e_2(I)=e_1(I)-e_0(I)+\lambda(A/I), arXiv preprint arXiv:2609.01372 (2026). (with Shruti Priya)
Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension, arXiv preprint arXiv:2609.10295, (2026).
37th Annual Conference of RMS, held at SSN College of Engineering, Chennai from December 06-08, 2022.
NCMW-Hilbert function and local cohomology, held at IIT Bombay from Nov 27 to Dec 02, 2023. Typed note.
Effective bounds in commutative algebra, held at Chennai Mathematical Institute (CMI) from May 30 to Jun 11, 2024.
International conference on local rings and singularities, held at IIT Bombay from June 12-15, 2024.
NCMW-Recent trend in commutative algebra, held at IIT Bombay from June 17-22, 2024.
Commutative algebra and singularity theory, held at Osaka Metropolitan University, Osaka, Japan, from September 09-13, 2024.
AIS-Cohomology of commutative algebra, held at IIT Madras from December 02-14, 2024.
39th Annual Conference of RMS, held at CHRIST University, Bengaluru from December 27-29, 2024.
NCMW-Recent developments in commutative algebra, held at IIT Dharwad from June 24-29, 2025.
International conference on commutative algebra to the memory of Jurgen Herzog, held at VIASM, Hanoi, Vietnam from July 21-25, 2025.
AIS-Topics in Commutative Algebra and Algebraic Geometry, held at IIT Palakkad from June 08-27, 2026.
Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules, Algebra contributory talk in RMS 39th annual conference, CHRIST (Deemed to be University), India. Slides
Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules, Poster presentation in International conference on commutative algebra to the memory of Jurgen Herzog, VIASM, Hanoi, Vietnam. Poster