Two-months Student Summer Internship position Available in a ANRF-DST funded project
Publications/Preprints:
27. (with Tarik Anowar, Sayan Thokdar), On Hom-Analogues of Heaps and Trusses (2025), http://arxiv.org/abs/2509.01578 .
26. (with Tarik Anowar, Satyendra Kumar Mishra), Cohomology and Extensions of $C_p$-Green Functors of Lie Type (2025), http://arxiv.org/abs/2507.07962 .
25. (with I. Basdouri, S. Benabdelhafidh, M.A. Sadraoui) A cohomological study of modified Rota-Baxter associative algebras with derivations (2024), arXiv:2404.00627.
24. (with S. Guo, B. Mondal) On Nijenhuis Lie triple systems (2024), arXiv:2403.06121.
23. (with Tarik Anowar) On Affine Version of Hom-Lie Algebras (2026), online ready, Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498827502227 .
22. (with I. Basdouri, E. Peyghan, M.A. Sadraoui ) Formal Dedormations and Extensions of ‘Twisted’ Lie Algebras (2025), Euro-Tbilisi Mathematical Journal, 18(3) (2025), pp. 223–237.
21. (with A. Halim, A. Rohim, B.V. Rathis Kumar) A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model (2025), Multimedia Tools and Applications(2025) 84:37975–37996.
20. (with B. Mondal) Cohomology of modified Rota-Baxter Leibniz algebra of weight $\lambda$ (2025), Journal of Algebra and Its Applications, Vol 24, No. 06, 2550157 (2025).
19. (with T. Chtioui) On deformation cohomology of compatible Hom-associative algebras (2025), Afrika Mathematika, 36, 31 (2025). https://doi.org/10.1007/s13370-025-01241-9.
18. (with Abdenacer Makhlouf) On Compatible Leibniz algebras (2025), Journal of Algebra and Its Applications, Vol. 24, No. 04, 2550105 (2025).
17. (with B. Mondal) Deformation cohomology of morphisms of Lie-Yamaguti algebras (2024), Journal of Algebra, Volume 658, 15 November 2024, Pages 660-685 .
16. (with B. Mondal) Nijenhuis operators on Leibniz algebras (2024), Journal of Geometry and Physics, Volume 196, February 2024, 105057.
15. (with S. Guo) On \alpha-type (equivariant) cohomology of Hom-pre-Lie algebras (2024), Communications in Algebra, 52:2, 479-499, DOI: 10.1080/00927872.2023.2243514.
14. (With Liangyun Chen, Tianqi Feng, Yao Ma, Hongyi Zhang) On Hom-Groups and Hom-Group actions (2023), Acta Mathematica Sinica, English Series, Vol. 39, No. 10, pp. 1887–1906.
13. (with S. Guo, B. Mondal) On equivariant Lie-Yamaguti algebras and related structures (2023), Asian-European Journal of Mathematics, Vol. 16, No. 02, 2350022 (2023).
12. (with B. Mondal) Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras (2022), Communications in Mathematics, Volume 30 (2022), Issue 2 (Special Issue : CIMPA School "Non-associative algebras and Its Applications", Madagascar 2021).
11. (with S. Guo) On 3-Lie algebras with a derivation (2022), Afrika Mathematika, 33, 60 (2022). https://doi.org/10.1007/s13370-022-00998-7.
10. (With Goutam Mukherjee) Equivariant one-parameter formal deformations of Hom-Leibniz algebras (2022), Communications in Contemporary Mathematics, Vol. 24, No. 03, 2050082 (2022), https://doi.org/10.1142/S0219199720500820.
9. On equivariant Hom-Leibniz cohomology, (2021), Afrika Mathematika, 32(7), 1685-1696, https://doi.org/10.1007/s13370-021-00928-z .
8. (with David A. Towers) On certain classes of algebras in which centralizers are ideals (2021), Journal of Lie Theory, 31 (2021), No. 4, 991--1002.
7. (with Apurba Das) Involutive and oriented dendriform algebras (2021), Journal of Algebra, Volume 581, 1 September 2021, Pages 63-91. https://doi.org/10.1016/j.jalgebra.2021.04.012.
6. (With Apurba Das) On equivariant dendriform algebras, Colloquium Mathematicum 164 (2021), 283-303.
5. (With Pratulananda Das) On Leibniz algebras whose centralizers are ideals (2020), Indian J Pure Appl Math 51, 1555–1571 (2020). https://doi.org/10.1007/s13226-020-0481-x.
4. (With Ali N.A. Koam) Cohomology and deformations of oriented dialgebras (2020), Journal of Homotopy and Related Structures, 15, 511–536 (2020), https://doi.org/10.1007/s40062-020-00265-1.
3. Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras (2020), Communications in Algebra, 48:10, 4224-4234, DOI: 10.1080/00927872.2020.1759613.
2. Equivariant associative dialgebras and its one-parameter formal deformations (2019), Journal of Geometry and Physics, Volume 146, December 2019, 103491.
1. (with Goutam Mukherjee) Cup-product for equivariant Leibniz cohomology and Zinbiel algebras (2019), Algebra Colloquium, Vol. 26, No. 2, 2019, 271-284.
Articles in Preparation:
15. (with A. Das) Relative Rota-Baxter operators on dialgebras (2021).
16. Cohomology and deformations of Leibniz algebras relative to a semigroup (2021).