Rajkamal Nailwal
Research Interests
Moment problems · Operator theory · Function theory
Work Experience
- Postdoctoral Researcher, IMFM, Ljubljana — Nov 2024–April 2026 (Mentor: A. Zalar)
- Postdoctoral Researcher, IIT Madras — Apr 2024–Nov 2024 (Mentor: S. Kumar)
- Research Associate, BITS Pilani Goa Campus — Dec 2023–Apr 2024 (Mentor: M. Bhattacharjee)
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
Publications
- 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
- 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
- The truncated univariate rational moment problem, Linear Algebra Appl., 708, 280–301, 2025 — with Aljaž Zalar. Link
- A characterization of completely alternating functions, J. Approx. Theory, 313, 106230, 2026 — with M. Bhattacharjee. Link
- Rank one perturbations of 2-isometries, Complex Anal. Oper. Theory, 20(43), 2026. Link
Preprints
- Gaussian quadratures with prescribed nodes via moment theory — with Aljaž Zalar
- Cyclic polynomials in Dirichlet-type spaces of the unit bidisk — with Aljaž Zalar
- Rank-one perturbations and essential 2-generalized projections
- Invariant Subspaces and the C_{00}-Property of 3-Brownian Shifts
Education
- Ph.D. in Mathematics, Indian Institute of Technology Kanpur (2023)
Supervisors: Prof. Akash Anand and Prof. Sameer Chavan - M.Sc. in Mathematics, Indian Institute of Technology Indore (2017)
- B.Sc. (Hons.) in Mathematics, University of Delhi (2014)
Academic Visits
- BITS Pilani, Pilani Campus — Oct 2023
- IIT Hyderabad — Sept 2023
- IIT Madras — Oct 2022
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
Recommendations
- C* algebras and spectral theorem Link
- Algebraic Topology Link
- Lie Algebras Link
- Mathematical Adventures Link
⏳ Last updated: May 2026