My research interests are in the area of Commutative Algebra, the study of commutative rings and modules over them. My main research interests are focused on the following topics: (1) Asymptotic prime divisors and v-numbers; (2) Characterizations of various local rings via homological dimensions; (3) Asymptotic behavior of Castelnuovo-Mumford regularity; (4) Vanishing of the derived functors Ext and Tor; and (5) Complexity and curvature (of pair) of modules.
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Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules by Ghosh D. Journal of Algebra 445 103-114 (2016)
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The (ir)regularity of Tor and Ext by Chardin M., Ghosh D. , Nemati N. Transactions of the American Mathematical Society 375 47-70 (2022)
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Asymptotic prime divisors over complete intersection rings by Ghosh D., Puthenpurakal T. J. Mathematical Proceedings of the Cambridge Philosophical Society 160 423-436 (2016)
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On the asymptotic behaviour of the Vasconcelos invariant for graded modules by Fiorindo L., Ghosh D. Nagoya Mathematical Journal 1-15 (2025)
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Homological dimensions of Burch ideals, submodules and quotients by Ghosh D., Saha A. Journal of Pure and Applied Algebra 228 - (2024)
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Auslander-Reiten conjecture and finite injective dimension of Hom by Ghosh D., Takahashi R. Kyoto Journal of Mathematics 64 229-243 (2024)
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Gorenstein Rings via Homological Dimensions, and Symmetry in Vanishing of Ext and Tate Cohomology by Ghosh D., Puthenpurakal T.J. Algebras and Representation Theory 27 639-653 (2024)
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Characterizations of regular local rings via syzygy modules of the residue field by Ghosh D., Gupta A. , Puthenpurakal T. J. Journal of Commutative Algebra 10 327-337 (2018)
- Co-Principal Investigator
Ph. D. Students
Mouma Samanta
Area of Research: Commutative Algebra
Siddhartha Pramanik
Area of Research: Commutative Algebra
Subhadip Bhowmick
Area of Research: Homological Commutative Algebra
