Schools

“Tell me and I forget. Teach me and I remember. Involve me and I learn.” – by Confucian philosopher Xun Kuang (312–230 BC). 

1. 1. Mathematics I (B.Tech.)
   2. Mathematics II (B.Tech.)
   3. Complex analysis (M.Sc.)
   4. Transform calculus (B.Tech.)
   5. Advanced complex analysis (M.Sc./Ph.D.)
   6. Fourier analysis (M.Sc./Ph.D.)
   7. ODE (M.Sc.)
   8. Functional analysis (M.Sc.)

PhD Students:

1. Bibhash Kumar Das, 2020 — 2026.  Thesis title: A study of linear dynamical aspects of weighted shift operators on certain spaces of analytic functions.
2. Amar Prasad Mohanty, 2025 — ongoing

MSc Project Students:

1. Biharee Lal, 2020 — 21, Shift invariant subspaces of Hardy space, Currently a PhD student at IIT Roorkee
2. Vivek, 2020 — 21, An introduction to the theory of reproducing kernel Hilbert spaces, Currently a PhD student at Lucknow University
3. Deepak Batt, 2021 — 22, Hypercyclic operators, Currently a PhD student at IIT Ropar
4. Arun Pandey, 2021 — 22, An introduction to the theory of reproducing kernel Hilbert spaces, Status: Unknown
5. Sabyasachi Jana, 2022 — 23, Hypercyclic and chaotic operators, Currently a PhD student at IISER Thiruvananthapuram
6. Shrirup Dutta, 2022 — 23, An introduction to Hardy space, Currently a PhD student at IIT Madras
7. Krishnapada Deshwali, Poisson kernels, 2023 — 24, Status: Unknown

MSc Students (External)
1. Abhishek Gopal, IMA Bhubaneswar, Shift operators and invariant subspaces in Hardy space, Currently a graduate student at Indiana University

My research (mostly) encompasses the study of (i) invariant subspaces of shift and multiplication operators, and (ii) hypercyclic and chaotic dynamics of operators defined on analytic function spaces. Details can be seen in the following link.

https://scholar.google.com/citations?user=6rczyZIAAAAJ&hl=en

Publications/Preprints:

• • (With Bibhash Kumar Das) Linear dynamics of the adjoint a unilateral weighted shift sperator, To appear in Computational Methods Function Theory.
  • (With Bibhash Kumar Das) A class of bilateral weighted shift operators, and linear dynamics, https://arxiv.org/abs/2602.22773.
  • (With Bibhash Kumar Das) Hypercyclicity of weighted shifts on weighted Bergman spaces, https://arxiv.org/abs/2503.16354.
  • (With Bibhash Kumar Das) Dynamics of weighted backward shifts on certain analytic function spaces,
    Results in Mathematics 79, 242 (2024).
  • (With Jaydeb Sarkar) Linear dynamics in reproducing kernel Hilbert spaces, Bull. Sci. Math. 159, 102826, (2020)
  • (With Amit Maji, Jaydeb Sarkar, Sankar TR) Characterization of invariant subspaces in the polydisc, Journal of Operator Theory, 82(2):445–468, 2019.
  • (With Alberto Conejero, J. Seoane-Sepulveda) Dynamics of multidimensional Cesàro operators, Bull. Belgian Math. Soc. Simon Stevin, 26 (2019), 11–20.
  • (With Manjul Gupta) Supercyclicity in spaces of operators, Results in Mathematics 70 (2016), 95–107 
  • (With Manjul Gupta) q-Frequent hypercyclicity in spaces of operators, Monatsh. Math 183 (2017), 251–268.
  • (With Manjul Gupta) q-Frequently hypercyclic operators, Banach J. Math. Anal. 9 (2015), 114–126.

• IWOTA, Indian Institute of Science, Bangalore, 2013
• Geometry of Banach Spaces and Operator Theory, IIT Kanpur, 2015
• Analysis and Probability, ISI Delhi, 2015
• Conference on Functional Analysis, IIT Bombay, 2017
• Recent Advances in Operator Theory and Operator Algebras, ISI Bangalore, 2018
• NCM Workshop, ISI Bangalore, 2018
• Advanced Functional Analysis and Applications, IIT Hyderabad (as a resource speaker), 2024

Administrative service:

• Faculty Advisor for M.Sc. Mathematics, 2022–24
• Time Table Co-ordinator  (Mathematics), 2021–22
• In-Charge of Ph.D. admissions (Mathematics), Spring 2021, and Spring 2022
• JAM Scrutiny (Math), 2023 and 2024
• Internship Co-ordinator, 2022–24
• Anti-ragging duties, 2025 and 2026

Journal Reviewing:

• Complex analysis and Operator theory
• Advances in Operator Theory
• Proceedings of Mathematical Sciences
• Indian J. Pure and Applied Math.
• Bulletin of Korean. Math. Soc.