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

• 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, Journal of 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 Journal of Mathematics, 30, 2024.
3. The truncated univariate rational moment problem, Linear Algebra and its Applications, 708 (280-301), 2025, with Aljaž Zalar.

Preprints

1. with M. Bhattacharjee, A characterization of completely alternating functions, submitted (2024).
2. with Aljaž Zalar, Gaussian quadratures with prescribed nodes via moment theory, submitted (2024).

Education

• Ph.D. Mathematics, IIT Kanpur (2023)
• 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)