Algebraic Number Theory
Valuation Theory
Commutative Algebra
Research Experience : 50 years (approx.)
S. K. Khanduja, A Textbook of Algebraic Number Theory, Unitext series 135, Springer (2022) ISBN:978- 981-16-9149-2, MR4442264.
Discriminant and integral basis of number fields defined by exponential Taylor polynomials (with A. Jindal), Proceedings of the Edinburgh Mathematical Society , 67(2) (2024) 528 - 541.
On integral basis of pure number fields (with A. Jakhar, N. Sangwan), Mathematika, 67 (2021), 187-195.
On the index of an algebraic integer and beyond (with A. Jakhar), Journal of Pure and Applied Algebra, 224 (2020) 106281.
On prime divisors of the index of an algebraic integer (with A. Jakhar, N. Sangwan), J. Number Theory 166 (2016) 47–61.
Reformulation of Hensel's Lemma and an extension of a theorem of Ore (with Bablesh Jhorar), Manuscripta Math., 151 (2016), No. 1, 223-241.
Some irreducibility results for truncated binomial expansions (with Ramneek Khassa and Shanta Laishram), J. Number Theory 131 (2011) 300-308.
On Brown's constant associated with irreducible polynomials over henselian valued fields, J. Pure Appl. Algebra 214 (2010), No. 12, 2294-2300.
Quadratic unramied extensions of Q (d^{1/2}) (with Indar S. Luthar), J. Reine Angew. Math. 298(1978), 108-111.