My research interests are in the area of Commutative Algebra, which is the study of commutative rings and modules over them. My main research interests are focused on the following topics: (1) Asymptotic prime divisors; (2) Characterizations of various local rings via homological dimensions; (3) Asymptotic behavior of Castelnuovo-Mumford regularity; and (4) Vanishing of the derived functors Ext and Tor.
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Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules Ghosh D. By Journal of Algebra 445 103-114 (2016)
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The (ir)regularity of Tor and Ext Chardin M., Ghosh D. , Nemati N. By Transactions of the American Mathematical Society 375 47-70 (2022)
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Asymptotic prime divisors over complete intersection rings Ghosh D., Puthenpurakal T. J. By Mathematical Proceedings of the Cambridge Philosophical Society 160 423-436 (2016)
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Auslander-Reiten conjecture and finite injective dimension of Hom Ghosh D., Takahashi R. By Kyoto Journal of Mathematics - (Accepted/In-Press)
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Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology Ghosh D., Puthenpurakal T. J. By Algebras and Representation Theory - (Accepted/In-Press)
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An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings Ghosh D., Puthenpurakal T. J. By Journal of Algebra 537 278-296 (2019)
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Asymptotic associate primes Ghosh D., Mallick P. , Puthenpurakal T. J. By Journal of Pure and Applied Algebra 223 4246-4267 (2019)
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Complexity and rigidity of Ulrich modules, and some applications Dey S., Ghosh D. By Mathematica Scandinavica 129 209-237 (2023)
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Characterizations of regular local rings via syzygy modules of the residue field Ghosh D., Gupta A. , Puthenpurakal T. J. By Journal of Commutative Algebra 10 327-337 (2018)
- Co-Principal Investigator
Ph. D. Students
Mouma Samanta
Area of Research: Commutative Algebra
Subhadip Bhowmick
Area of Research: Homological Commutative Algebra
