Neeraj Kumar

Assistant Professor, 

Department of Mathematics, IIT Hyderabad.

Research Interest 

Commutative Algebra

Publications

Preprints

5) Almost Complete Intersections: Regularity of powers and Rees algebra (with Chitra Venugopal). arXiv:2403.15844

4) On Positive Matching Decomposition Conjectures of Hypergraphs (with Marie Amalore Nambi). arXiv:2309.15424

3) (Almost) complete intersection Lovász-Saks-Schrijver ideals and regularity of their powers (with Marie Amalore Nambi and Chitra Venugopal). arXiv:2305.09190

2) A note on sequences and y-regularity of Rees algebra (with Chitra Venugopal). arXiv:2303.00350

1)  Prime ideals and regular sequence of symmetric polynomials. arXiv:1309.1098.


Published 


11) Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs (with Marie Amalore Nambi). Communications in Algebra (2024), DOI: 10.1080/00927872.2024.2302101, arXiv:2209.12182

10) Rees algebra of maximal order Pfaffians and its diagonal subalgebras (with Chitra Venugopal),  Communications in Algebra, (2023) DOI: 10.1080/00927872.2023.2262579, arXiv:2302.07486v2

9) d-sequence edge binomials, and regularity of powers of binomial edge ideal of trees (with Marie Amalore Nambi), Journal of Algebra and Its Applications (2023). (https://doi.org/10.1142/S0219498824501548). arXiv:2209.07218v2.


8)  Diagonal Subalgebras of Residual Intersections (with H. Ananthnarayan and Vivek Mukundan), Proc. Amer. Math. Soc., 148, (2020), no. 1, 41 - 52.


7)  A survey on Koszul algebras and Koszul duality, Proceedings of Leavitt Path Algebras and Classical K-Theory, Indian Statistical Institute Series. Springer Singapore Pte Ltd., ISSN 2523-3114, pp xxi+ 322, (2020). 


6)  Syzygies, Betti numbers and Regularity of cover ideals of certain multipartite graphs (with A. V. Jayanthan), Mathematics, 7(9), (2019). 


5)  Note on vanishing power sums of roots of unity (with K. Senthil Kumar), Math. Student, 84, (2015), 69 - 73. 


4)  Koszul property of diagonal subalgebras, J. Commut. Algebra, 6, (2014), no. 3, 385 - 406. 


3)  Quillen-Suslin theory for a structure theorem for the elementary symplectic group (with Ravi A. Rao), 101 - 116, Ramanujan Math. Soc. Lect. Notes Ser., 17, Ramanujan Math. Soc., Mysore, 2013. 


2)  Regular sequences of power sums and complete symmetric polynomials (with Ivan Martino), Matematiche (Catania), 67 (2012), no. 1, 103 - 117. 


1)  An algebraic proof for the identities for degree of syzygies in numerical semigroups (with Ivan Martino), Matematiche (Catania), 67 (2012), no. 1, 81 - 89.