Rajkamal Nailwal
Contact
Office: Room 318
đź“Ť Institute of Mathematics, Physics and Mechanics (IMFM),
Jadranska ulica 19, SI-1000 Ljubljana, Slovenia
📧 rajkamal.nailwal[AT]imfm[dot]si
Research Interests
Moment problems · Operator theory · Function theory
Work Experience
- Postdoctoral Researcher, IMFM, Ljubljana — Nov 2024–Present (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
- The truncated univariate rational moment problem, IWOTA 2025, University of Twente, Netherlands — July 2025
- Moment theory approach to Gaussian Quadratures with prescribed nodes, Linear Algebra Workshop (LAW’25), Portorož, Slovenia — June 2025
- Hausdorff moment nets in two variables and toral m-isometric pairs, Faculty of Mathematics and Physics, Ljubljana — Dec 2024
- 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
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
Preprints
- Gaussian quadratures with prescribed nodes via moment theory — with Aljaž Zalar
- Rank one perturbations of 2-isometries
- Cyclic polynomials in Dirichlet-type spaces of the unit bidisk — with Aljaž Zalar
Education
- Ph.D. in Mathematics, Indian Institute of Technology Kanpur (2023)
Supervisors: Prof. Akash Anand and Prof. Sameer Chavan - M.Sc. in Mathematics, IIT 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
⏳ Last updated: November 2025