Research

I am currently pursuing a Ph.D. in Mathematics under the supervision of Professor Tony J. Puthenpurakal. My primary research interests lie in the field of Commutative Algebra, with a particular emphasis on the study of D-modules and F-modules. 

Publications and Preprints

1. 1. Sayed Sadiqul Islam and Tony J. Puthenpurakal, On some rings of differentiable type,  Illinois Journal of Mathematics , 69.4 (2025): 681-692.

   2. Sayed Sadiqul Islam and Tony J. Puthenpurakal, Bigraded components of F-finite, F-modules, (arXiv:2508.15742)(Submitted to Journal).

   3. Sayed Sadiqul Islam and Tony J. Puthenpurakal, Bounds on Bass numbers of local cohomology modules, (arXiv:2511.05450)(Submitted to Journal).

   4. Sayed Sadiqul Islam, Local cohomology modules of a regular affine domain, (arXiv:2511.05871)(Submitted to Journal). 

   5. Sayed Sadiqul Islam and Tony J. Puthenpurakal, On Bass numbers of graded components of local cohomology modules supported on  C-monomial ideals in mixed characteristic ,(arXiv:2603.25604)(Submitted to Journal).

   6. Sayed Sadiqul Islam, On the structure theorem of graded components of  F-finite, F-modules over certain polynomial ring, (arXiv:2604.08533 )(Submitted to Journal).