Research Interest. Commutative Algebra
Publications
Preprints
3) Neeraj Kumar, Aniruddha Saha, and Chitra Venugopal. Free resolutions of symmetric algebras of ideals with deviation two.
2) Marie Amalore Nambi and Neeraj Kumar. On Conjecture of Binomial Edge Ideals of Linear Type. arXiv:2406.05960
1) Neeraj Kumar. Prime ideals and regular sequence of symmetric polynomials. arXiv:1309.1098.
Published
15) Marie Amalore Nambi and Neeraj Kumar. On Positive Matching Decomposition Conjectures of Hypergraphs. To appear in International Journal of Algebra and Computation (2026). arXiv:2309.15424
14) Neeraj Kumar and Chitra Venugopal. Almost Complete Intersections: Regularity of powers and Rees algebra, To appear in Journal of Commutative Algebra. (2025) arXiv:2403.15844 Online link - https://projecteuclid.org/journals/jca/journal-of-commutative-algebra/DownloadAcceptedPapers/240316-Venugopal.pdf
13. Neeraj Kumar and Chitra Venugopal. Some classes of sequences of linear type. To appear in Communications in Algebra (2025) DOI: 10.1080/00927872.2025.2538659 arXiv:2303.00350v30
12) Marie Amalore Nambi, Neeraj Kumar, and Chitra Venugopal. (Almost) complete intersection Lovász-Saks-Schrijver ideals and regularity of their powers. To appear in Journal of Algebra and Its Applications (2025) (Published online: 27 Jan 2025). DOI: 10.1142/S0219498826500933 arXiv:2305.09190
11) Marie Amalore Nambi and Neeraj Kumar. Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs, Communications in Algebra, 52, (2024), no. 6, 2598-2615. (Published online: 19 Jan 2024.) DOI: 10.1080/00927872.2024.2302101, arXiv:2209.12182
10) Neeraj Kumar and Chitra Venugopal. Rees algebra of maximal order Pfaffians and its diagonal subalgebras, Communications in Algebra, 52, (2024), no. 4, 1374-1388. (Published online: 06 Oct 2023.) DOI: 10.1080/00927872.2023.2262579, arXiv:2302.07486v2
9) Marie Amalore Nambi and Neeraj Kumar. d-sequence edge binomials, and regularity of powers of binomial edge ideal of trees, Journal of Algebra and Its Applications. 23, (2024), no. 10, Paper No. 2450154, 18 pp. (Published online: 4 May 2023.) DOI: 10.1142/S0219498824501548. arXiv:2209.07218v2.
8) H. Ananthnarayan, Neeraj Kumar, and Vivek Mukundan. Diagonal Subalgebras of Residual Intersections, Proceedings of the American Mathematical Society, 148, (2020), no. 1, 41 - 52.
7) Neeraj Kumar. A survey on Koszul algebras and Koszul duality. Leavitt Path Algebras and Classical K-Theory, 157-176. Indian Stat. Inst. Ser. Springer, Singapore, [2020] ISBN: 978-981-15-1610-8; 978-981-15-1611-5.
6) A. V. Jayanthan and Neeraj Kumar. Syzygies, Betti numbers and Regularity of cover ideals of certain multipartite graphs, Mathematics, 7(9), (2019).
5) Neeraj Kumar and K. Senthil Kumar. Note on vanishing power sums of roots of unity, Math. Student, 84, (2015), 69 - 73.
4) Neeraj Kumar. Koszul property of diagonal subalgebras, Journal of Commutative Algebra, 6, (2014), no. 3, 385 - 406.
3) Neeraj Kumar and Ravi A. Rao. Quillen-Suslin theory for a structure theorem for the elementary symplectic group, 101 - 116, Ramanujan Math. Soc. Lect. Notes Ser., 17, Ramanujan Math. Soc., Mysore, 2013.
2) Neeraj Kumar and Ivan Martino. Regular sequences of power sums and complete symmetric polynomials, Matematiche (Catania), 67 (2012), no. 1, 103 - 117.
1) Neeraj Kumar and Ivan Martino. An algebraic proof for the identities for degree of syzygies in numerical semigroups, Matematiche (Catania), 67 (2012), no. 1, 81 - 89.