Publications
Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals, arXiv:1806.07518, 2018 (with Kriti Goel and Sudeshna Roy)
Tight Closure of powers of ideals and tight Hilbert polynomials, arXiv:1806.07522, 2018 (with Kriti Goel and Vivek Mukundan)
The Minkowski equality and inequality for multiplicity of ideals, arXiv:1807.06309, 2018 (with Kriti Goel and R. V. Gurjar)
Nullstellens ̈atze and applications, arXiv:1809.02818, 2018 (with Kriti Goel and Dilip P. Patil),
Variations on the Grothendieck-Serre formula for Hilbert functions and their applications, Proceedings of the International Conference on Algebra and its Applications held at Aligarh Muslim University, 15-17 December, 2014 (with Shreedevi Masuti and Parangama Sarkar), Algebra and its applications, Springer Proceedings in Mathematics and Statistics, 174 (2016), 123-158 (with J. K. Verma and Parangama Sarkar).
Local cohomology of multi-Rees algebras, joint reduction numbers and product of complete ideals, Nagoya Journal of Mathematics, Nagoya Journal of Mathematics (2016), 1-20 (with Parangama Sarkar)
Postulation and reduction vectors of Hilbert functions of multi-graded filtrations of ideals, J. Commutative Algebra, to appear (with Parangama Sarkar)
Hilbert polynomials of multi-graded filtrations of ideals, Journal of Algebra 444 (2015), 527-566 (with Shreedevi Masuti and Parangama Sarkar).
Local cohomology of multi-graded Rees algebras with applications to joint reductions and complete ideals , Acta Mathematica Vietnamica 40 (2015), 479-510. (with Shreedevi Masuti and Tony Puthenpurakal).
Two notes on the normal Hilbert polynomial of two ideals, Proc. Indian Natn. Sic. Acad. 80 (2014), 589-595. (with Shreedevi Masuti).
Local cohomology of bi-graded Rees algebras and normal Hilbert coefficients, Journal of Pure and Applied Algebra 218 (2014), 904-918 (with Shreedevi Masuti).
R. P. Stanley’s solution of the Anand-Dumir-Gupta conjectures about magic squares, Math. Student 82 (2013), 1-15.
Non-negativity of normal Hilbert coefficients, Journal of Commutative Algebra, 5 (2013),281-298 (With Shreedevi Masuti).
Normal Hilbert polynomials, Proceedings of International Conference on Commutative Algebra and Algebraic Geometry, Indian Institute of Science, Bangalore (2012), Ramanujan Mathematical Society Lecture Notes Series, Vol. 17 (2013),139-166 (with Shreedevi Masuti and Mousumi Mandal).
On the Chern number of I-admissible filtration of ideals, Journal of Commutative Algebra 4 (2012),1- 13 (with Mousumi Mandal).
Local Cohomology of bi-graded Rees algebras and normal Hilbert coefficients, 34th Japan Symposium on Commutative Algebra, Hayama, Japan (2012) (with Shreedevi Masuti).
Some conjectures about the Chern numbers of filtrations, J. Algebra, 325 (2011), 147-162. (with M. Mandal, B. Singh)
Negativity of the Chern number of parameter ideals, Proceedings of International Conference on Algebra and its Applications, Aligarh Muslim University, 2010 Narosa Publishing House, New Delhi (2011), 53-68 (with S. Goto and M. Mandal).
Hilbert functions of multi-graded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, vol. 2, no. 4,(2010), 515-565. (with N. V. Trung)
On the Chern number of an ideal, Proc. Amer. Math. Soc. 138 (2010), 1995–1999. (with Mousumi Mandal)
Hilbert polynomials and powers of ideals, Math. Trans. Camb. Phil. Soc. 145 (2008) 623-642. (with J. Herzog and T. J. Puthenpurakal).
Mixed volumes versus mixed multiplicities, Trans. Amer. Math. Soc. 359 (2007), 4711–4727. (with N. V. Trung).
Hilbert Coefficients and depth of the associated graded ring of an ideal, Mathematics Student, Special Centenary Volume, 76 (2007) 237-264
Hilbert coefficients and depth of the associated graded ring of an ideal, Math. Student, Special Centenary volume, (2007) 205 -228.
Fiber cones of m-primary ideals, Canadian J. Math. 59(2007),109-126. (with A. V. Jayanthan and T. Puthenpurakal).
Hilbert Coefficients and Depth of Fiber Cones, J. Pure Appl. Algebra, (2005), 97-115. (with A. V. Jayanthan)
Cohen-Macaulayfiberconesofalmostminimalmultiplicity,NagoyaJ.Math.177(2005),155-179.(with A. V. Jayanthan).
Bounds on the a-invariant and reduction numbers of ideals, J. Algebra, 274 (2004), 594-601. (with C. D’Cruz).
Hilbert coefficients and depth of form rings, Comm. in Algebra. 32 (2004), 1445-1452. (with B. Singh and A.V. Jayanthan).
Local cohomology modules of bigraded Rees algebras, Advances in algebra and geometry (2003), 39-52. (with A. V. Jayanthan)
Grothendieck-Serre formula and bigraded Rees algebras, J. Algebra 254 (2002), 1-20. (with A. V. Jayanthan).
Hilbert series of fiber cones with almost minimal mixed multiplicity, J. Algebra 251 (2002), 98-109. (with C. D’Cruz).
On a theorem of Macaulay on colons of ideals, Beitrage Algebra Geom. 43 (2002), no. 2, 579-581.
On the number of generators of Cohen-Macaulay ideals, Proc. Amer Math. Soc. 128 (2000), 3185-3190. (with C. D’Cruz)
Cohen-Macaulay fiber cones, Commutative Algebra, Algebraic Geometry and Computational Methods (Hanoi 1996) Springer-Verlag, (1999), 233-246. (with C. D’Cruz and K. N. Raghavan)
Mixed Hilbert coefficients of ideals generated by d-sequences and quadratic sequences, J. Algebra 193 (1997), 211-232. (with K. N. Raghavan,)
Local cohomology of Rees algebras and Hilbert functions, Proc. Amer. Math. Soc. 123 (1995), no.1, 1-10. (with B. Johnston)
On the multiplicity of blow-ups associated to almost complete intersection space curves, Comm. Algebra 22 (1994), 721-734. (with D. Katz)
Multigraded Rees algebras and mixed multiplicities, J. Pure Appl. Algebra 77 (1992), 219-228.
On the length formula of Hoskin and Deligne and associated graded rings of two-dimensional regular
local rings, Math. Proc. Cambridge Philos. Soc. 111 (1992), 423-432. (with B. Johnston)
Hilbertfunctionsofbigradedalgebras,Commutativealgebra(Trieste,1992),291-302,WorldScientific,
1994. (with D. Katz and S. Mandal)
Rees algebras of contracted ideals in two-dimensional regular local rings, J. Algebra 141 (1991), no. 1, 1-10.
Joint reductions and Rees algebras, Math. Proc. Cambridge Philos. Soc. 109 (1991), no. 2, 335-342.
Joint reductions of complete ideals, Nagoya Math. J. 118 (1990), 155-163.
Rees algebras with minimal multiplicity, Comm. Algebra 17 (1989), 2999-3024.
Rees algebras of parameter ideals, J. Pure Appl. Algebra 61 (1989), no. 1, 99-106.
Extended Rees algebras and mixed multiplicities, Math. Z. 202 (1989), 111-128. (with D. Katz)
On quasi-factorial domains, J. Pure Appl. Algebra 57 (1989), no. 1, 93–107.
Rees algebras and mixed multiplicities, Proc. Amer. Math. Soc. 104 (1988), 1036-104
On the symbolic topology of an ideal, J. Algebra 112 (1988), 416–429.
On ideals whose adic and symbolic topologies are linearly equivalent, J. Pure Appl. Algebra 47 (1987), 205-212.