Abhay Jindal

Publications

Preprints

  1. [13]
    Fejér–Riesz factorization for free products with I. Klep, J. Levenson, and S. McCullough arXiv:2611.08554 (2026)
  2. [12]
    Operator Fejér–Riesz theorems with gaps and degree bounds with A. Zalar arXiv:2611.02967 (2026)
  3. [11]
    Spectra of 1/k-contractions via characteristic functions with P. Kumar arXiv:2606.09513 (2026)
  4. [9]
    Operator-valued Positivstellensätze on matrix convex sets and free products of finite abelian groups with I. Klep and S. McCullough arXiv:2604.27062 (2026)

Journal articles

  1. [10]
    UCP maps on finite Toeplitz systems with R. Duhan International Mathematics Research Notices 2026, no. 21, Article rnag265 · Journal (open access) · arXiv
  2. [8]
    Positive operator-valued noncommutative polynomials are squares with I. Klep and S. McCullough Integral Equations and Operator Theory 98 (2026), Article 7 · Journal · arXiv
  3. [7]
    Complete Nevanlinna–Pick kernels and the curvature invariant with T. Bhattacharyya Annali di Matematica Pura ed Applicata 204 (2025), 1183–1197 · Journal · arXiv
  4. [6]
    Complete Nevanlinna–Pick kernels and the Schwarz lemma with D. Alpay, T. Bhattacharyya, and P. Kumar Complex Variables and Elliptic Equations 70 (2025), 2151–2165 · Journal · arXiv
  5. [5]
    Operator theory on the pentablock with P. Kumar Journal of Mathematical Analysis and Applications 540 (2024), Article 128589 · Journal · arXiv
  6. [4]
    Kernels with complete Nevanlinna–Pick factors and the characteristic function with T. Bhattacharyya Journal of Operator Theory 94 (2025), 271–289 · Journal · arXiv
  7. [3]
    A dilation theoretic approach to approximation by inner functions with D. Alpay, T. Bhattacharyya, and P. Kumar Bulletin of the London Mathematical Society 55 (2023), 2840–2855 · Journal · arXiv
  8. [2]
    Complete Nevanlinna–Pick kernels and the characteristic function with T. Bhattacharyya Advances in Mathematics 426 (2023), Article 109089 · Journal · arXiv
  9. [1]
    Rational penta-inner functions and the distinguished boundary of the pentablock with P. Kumar Complex Analysis and Operator Theory 16 (2022), Article 120 · Journal · arXiv

PhD thesis

Invariants Associated with Complete Nevanlinna–Pick Spaces
Indian Institute of Science, 2024 · Supervisor: Tirthankar Bhattacharyya · Defended 1 October 2024
Awarded the Martin Forster Medal for the best doctoral thesis (2024–25).