Research Interests

Operator theory · Function spaces · Moment problems

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Publications

1. Joint Complete monotonicity of rational functions in two variables and toral m-isometric pairs, J. Operator Theory, 92(1), 2024 — with A. Anand and S. Chavan. Link
2. A complete solution to the Cauchy dual subnormality problem for torally expansive toral 3-isometric weighted 2-shifts, New York J. Math., 30, 2024. Link
3. The truncated univariate rational moment problem, Linear Algebra Appl., 708, 280–301, 2025 — with Aljaž Zalar. Link
4. A characterization of completely alternating functions, J. Approx. Theory, 313, 106230, 2026 — with M. Bhattacharjee. Link
5. Rank one perturbations of 2-isometries, Complex Anal. Oper. Theory 20, 43, 2026. Link
6. Cyclic polynomials in Dirichlet-type spaces of the unit bidisk, Anal. Math. Phys. 16, 87 2026 — with Aljaž Zalar. Link.

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Preprints

1. Gaussian quadratures with prescribed nodes via moment theory — with Aljaž Zalar
2. Rank-one perturbations and essential 2-generalized projections
3. Invariant Subspaces and the C_{00}-Property of 3-Brownian Shifts

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Talks

• Cyclic Polynomials in Dirichlet-Type Spaces of the Unit Bidisk, GPOTS 2026, The University of Iowa, USA - May 26–30, 2026 Slides
• The truncated univariate rational moment problem, IWOTA 2025, University of Twente, Netherlands — July 2025 Slides
• Moment theory approach to Gaussian Quadratures with prescribed nodes, Linear Algebra Workshop (LAW’25), Portorož, Slovenia — June 2025 Slides
• Hausdorff moment nets in two variables and toral m-isometric pairs, Faculty of Mathematics and Physics, Ljubljana — Dec 2024 Slides
• On completely monotone and completely alternating sequences induced by rational functions, In-House Symposium, IIT Madras — July 2024
• Moment problem in one variable, Research Scholar Seminar, BITS Pilani Goa Campus — Apr 2024
• A two-dimensional moment problem, Research Scholar Seminar, IIT Hyderabad — Sept 2023
• Joint completely monotonic functions in two variables, IWOTA 2022, Kraków, Poland, 2022

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Academic Visits

• BITS Pilani, Pilani Campus — Oct 2023
• IIT Hyderabad — Sept 2023
• IIT Madras — Oct 2022

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Conferences

• GPOTS 2026, May 26-30, The University of Iowa, US, 2026
• Harmonic Analysis Days in Ljubljana, March 26 - 28, Ljubljana, Slovenia, 2026
• IWOTA 2025, July 14-18, University of Twente, Netherlands
• WOTCA 25, July 7-11, Universidade de Aveiro, Portugal, 2025
• 9th Linear Algebra Workshop (LAW’25), June 2-6, Portoroz, Slovenia, 2025
• Operator Theory and Operator Algebra (OTOA), March 06-11, IIT Gandhinagar, 2023
• Operator Theory and Complex Geometry, IISER Kolkata, Nov 24-26, 2022
• IWOTA 2022, Sept 06-10, Krakow, Poland

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Recommendations

• C* algebras and spectral theorem Link
• Algebraic Topology Link
• Lie Algebras Link
• Mathematical Adventures Link

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⏳ Last updated: July 2026