Dr. Paramita Pramanick

Dr. Paramita Pramanick

Designation: Assistant Professor

Qualification: Ph.D.

Phone No.:

ORCID:

E-mail ID: paramita.ima@iomaorissa.ac.in

Biosketch

I am currently serving as an Assistant Professor at the Institute of Mathematics and Applications, Bhubaneswar. I hold a PhD. in Mathematics from the Indian Institute of Science, Bangalore. My research interest focuses on Functional Analysis, Complex Analysis, Operator Theory: More specifically, I work on operator theory on Hilbert space of analytic functions, Reproducing kernel Hilbert modules, Homogeneous operators, Subnormal operators, Hyponormal operators and Trace inequalities.

Functional Analysis, Complex Analysis, Operator Theory

More specifically, I work on operator theory in the Hilbert spaces of analytic functions, Reproducing kernel Hilbert modules, Homogeneous operators, Subnormal operators, Hyponormal operators, Complete Nevanlinna-Pick kernels, and Trace inequalities.

Degree Year Subject Institute/University %of marks
B.Sc. 2009–2012 Mathematics (Hons.) Jadavpur University, Jadavpur, West Bengal. 84.5 %
M.Sc. 2012–2014 Mathematics Jadavpur University, Jadavpur, West Bengal. 82 %
Ph.D. 2021 Mathematics Indian Institute of Science, Bangalore NA

  1. Assistant Professor from April 2025 to Present at the Institute of Mathematics and Applications, Bhubaneswar, India.
  2. INSPIRE Faculty Fellow from May 2024 to March 2026 at the Indian Statistical Institute, Kolkata, Mentor: Prof. Debasis Goswami
  3. NBHM Postdoctoral Fellow from March 2022 to May 2024 at the Indian Institute of Technology Kanpur, Mentor: Prof. Sameer Chavan
  4. Postdoctoral Fellow from August 2021 to February 2022 at the Harish Chandra Research Institute
  5. Research Associate from October 2020 to July 2021 at the Indian Institute of Science, Bangalore, Mentor: Prof. Gadadhar Misra

  1. K-homogeneous tuple of operators on bounded symmetric domains (with S. Ghara and S. Kumar), Israel Journal of Mathematics  247 (2022) 331-360.
  2. A trace inequality for commuting tuples of operators (with G. Misra and K. B. Sinha), Integral Equations and Operator Theory 94 (2022).
  3. von Neumann’s inequality for the Hartogs triangle (with S. Chavan, S. Jain), New York Journal of Mathematics 28 (2022) 791-799.
  4. Analyticity, rank one perturbations and the invariance of the left spectrum (with S. Chavan and S. Ghara), Acta Scientiarum Mathematicarum 89 (2023), 559-571.
  5. Operator theory on generalised Hartogs triangles (with S. Chavan and S. Jain), Research in the Mathematical Sciences 10 (2023) no. 3, Paper No. 34.
  6. Commuting Tuple of Multiplication Operators Homogeneous under the Unitary Group (S. Ghara, S. Kumar and G. Misra), Journal of the London Mathematical Society 109 (2024).
  7. Toeplitz Operators on n-Dimensional Hartogs Triangles (with S. Jain ), Journal of Operator Theory (to appear) (2024).
  8. Brown-Halmos type characterisation for the tetrablock (with S. Jain, S. Kumar, and M. Mal ),  Journal of Mathematical Analysis and Applications (to appear) (2025).
  9. Cartan Isometries and Toeplitz Operators (with S. Kumar and M. Mal), Communicated.
  10. Function Theory on Tetrablock: Realisation, Interpolation, Extension, and Toeplitz Corona Theorem (with S. Jain, S. Kumar, and M. Mal ), Communicated.
  11. Complete Nevanlinna-Pick Property of K-Invariant Reproducing Kernels (with M. Engliś and S. Hazra), Communicated.

INSPIRE Faculty Research Grant

  1. Secured 3rd rank in B.Sc. Mathematics at Jadavpur University.
  2. Secured AIR 22 in the CSIR NET (June 2014).
  3. Got selected for the National Board for Higher Mathematics (NBHM) PhD fellowship in 2015
  4. Selected for the Ph.D. Program at the Indian Statistical Institute, Kolkata in 2015 (offer not availed).
  5. Got selected for the National Board for Higher Mathematics (NBHM) Postdoctoral fellowship in 2022
  6. Got selected for the INSPIRE Faculty fellowship in 2024