Contact

Office: 322, Institute of Mathematics, Physics and Mechanics,

Jadranska ulica 19, SI-1000 Ljubljana

Email: rajkamal.nailwal[AT]imfm[dot]si

Research Interests

Moment problems, Operator theory, Function theory

Work Experience

• Postdoc, IMFM (November 2024- )
• Postdoc, IIT Madras (April 2024- November 2024)
• Research Associate, Bits Pilani Goa Campus (Dec 2023- April 2024)

Talks

• The truncated univariate rational moment problem, IWOTA25, 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, Slovenia, December 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, April 2024
• A two-dimensional moment problem, Research scholar seminar, IIT Hyderabad, September 2023

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.
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.
3. The truncated univariate rational moment problem, Linear Algebra Appl., 708 (280-301), 2025, with Aljaž Zalar.
4. A characterization of completely alternating functions, J. Approx. Theory, 313, 2026, 106230, with M. Bhattacharjee.

Preprints

1. with Aljaž Zalar, Gaussian quadratures with prescribed nodes via moment theory, submitted (2024).
2. Rank one perturbations of 2-isometries, submitted (2025).

Education

• Ph.D. Mathematics, IIT Kanpur (2023)
  Supervisors: Prof. Akash Anand, Prof. Sameer Chavan
• M.Sc. Mathematics, IIT Indore (2017)
• B.Sc.(H) Mathematics, Delhi University (2014)

Visits

• BITS Pilani, Pilani campus, (October-2023)
• IIT Hyderabad, (September-2023)
• IIT Madras, (October-2022)