Published / Submitted
9. Operator-valued Positivstellensätze on matrix convex sets and free products of finite abelian groups (With I. Klep and S. McCullough). [arXiv].
8. Positive operator-valued noncommutative polynomials are squares (with I. Klep and S. McCullough). Integral Equations and Operator Theory, Volume 98, Article number 7 (2026). [Journal] and [arXiv].
7. Complete Nevanlinna-Pick kernels and the curvature invariant (with T. Bhattacharyya). Annali di Matematica Pura ed Applicata, Volume 204, 1183-1197 (2025). [Journal] and [arXiv].
6. Complete Nevanlinna-Pick kernels, Schwarz lemma, and the Schur algorithm (with D. Alpay, T. Bhattacharyya, and P. Kumar). Complex Variables and Elliptic Equations, Volume 70, 2151-2165 (2025).[Journal] and [arXiv].
5. Operator theory on the pentablock (with Poornendu Kumar). Journal of Mathematical Analysis and Applications, Volume 540 (2024), 128589. [Journal] and [arXiv].
4. Kernels with complete Nevanlinna-Pick factors and the characteristic function (with Tirthankar Bhattacharyya). Accepted for publication in the Journal of Operator Theory. [arXiv].
3. A dilation theoretic approach to approximation by inner functions (with Daniel Alpay, Tirthankar Bhattacharyya, and Poornendu Kumar). Bulletin of London Mathematical Society. [Journal] and [arXiv].
2. Complete Nevanlinna-Pick kernels and the characteristic function (with Tirthankar Bhattacharyya). Advances in Mathematics, Volume 426 (2023) 109089. [Journal] and [arXiv].
1. Rational penta-inner functions and the distinguished boundary of the pentablock (with Poornendu Kumar). Complex Analysis and Operator Theory 16, 120 (2022). [Journal] and [arXiv].