Coherent functors, powers of ideals, and asymptotic stability (with Souvik Dey, Siddhartha Pramanik, Tony J. Puthenpurakal and Samarendra Sahoo)
arXiv:2506.00529
Asymptotic behaviour of Vasconcelos invariants for products and powers of graded ideals (with Luca Fiorindo)
arXiv:2401.17815v3
Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of (co)homologies (with Souvik Dey and Aniruddha Saha)
arXiv:2412.01636.
Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications (with Souvik Dey and Aniruddha Saha)
arXiv:2411.17622.
Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension (with Mouma Samanta)
arXiv:2405.01497v2.
Finite homological dimension of Hom and vanishing of Ext (with Souvik Dey)
arXiv:2310.10607v2.
16. Asymptotic v-numbers of graded (co)homology modules involving powers of an ideal (with Siddhartha Pramanik)
J. Algebra 671 (2025), 61--74. DOI: 10.1016/j.jalgebra.2025.01.029.
15. On the asymptotic behaviour of the Vasconcelos invariant for graded modules (with Luca Fiorindo)
Nagoya Math. J. 258 (2025), 296--310. DOI: 10.1017/nmj.2024.33
14. Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology (with Tony J. Puthenpurakal)
Algebr. Represent. Theory 27 (2024), 639--653. DOI: 10.1007/s10468-023-10223-z
13. Homological dimensions of Burch ideals, submodules and quotients (with Aniruddha Saha)
J. Pure Appl. Algebra 228 (2024), 107647. DOI: 10.1016/j.jpaa.2024.107647
12. Auslander-Reiten conjecture and finite injective dimension of Hom (with Ryo Takahashi)
Kyoto J. Math. 64 (2024), 229--243. DOI: 10.1215/21562261-2023-0016
11. Integrally closed 𝔪-primary ideals have extremal resolutions (with Tony J. Puthenpurakal)
Arch. Math. (Basel) 121 (2023), 123--131. DOI: 10.1007/s00013-023-01875-w
10. Complexity and rigidity of Ulrich modules, and some applications (with Souvik Dey)
Math. Scand. 129 (2023), 209--237. DOI: 10.7146/math.scand.a-136499
9. The (ir)regularity of Tor and Ext (with Marc Chardin and Navid Nemati)
Trans. Amer. Math. Soc. 375 (2022), 47--70. DOI: 10.1090/tran/8429
8. Some criteria for regular and Gorenstein local rings via syzygy modules
J. Algebra Appl. 18 (2019),15 pp. DOI: 10.1142/S021949881950097X
7. An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings (with Tony J. Puthenpurakal)
J. Algebra 537 (2019), 278--296. DOI: 10.1016/j.jalgebra.2019.06.040
6. Asymptotic associate primes (with Provanjan Mallick and Tony J. Puthenpurakal)
J. Pure Appl. Algebra 223, (2019), 4246--4267. DOI:10.1016/j.jpaa.2019.01.007
5. A short proof of a result of Katz and West (with Tony J. Puthenpurakal)
J. Commut. Algebra 11 (2019), 237--240. DOI:10.1216/JCA-2019-11-2-237
4. Vanishing of (co)homology over deformations of Cohen-Macaulay local rings of minimal multiplicity (with Tony J. Puthenpurakal)
Glasgow Math. J. 61 (2019), 705--725. DOI:10.1017/S0017089518000459
3. Characterizations of regular local rings via syzygy modules of the residue field (with Anjan Gupta and Tony J. Puthenpurakal)
J. Commut. Algebra 10 (2018), 327--337. DOI:10.1216/JCA-2018-10-3-327
2. Asymptotic prime divisors over complete intersection rings (with Tony J. Puthenpurakal)
Math. Proc. Cambridge Philos. Soc. 160 (2016), 423--436. DOI:10.1017/S0305004115000778
1. Asymptotic linear bounds of Castelnuovo--Mumford regularity in multigraded modules
J. Algebra 445 (2016), 103--114. DOI:10.1016/j.jalgebra.2015.07.040