Ergodic theory, Non-commutative Lp spaces, Non-commutative analysis.
Panchugopal Bikram, Rahul Kumar, Rajeeb Mohanta, Kunal Mukherjee, and Diptesh Saha; On the von Neumann algebras associated to Yang–Baxter operators, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151, no. 4 (2021).
Panchugopal Bikram and Diptesh Saha; On the non-commutative Neveu decomposition and ergodic theorems for amenable group action, Journal of Functional Analysis 284, no. 1 (2023): 109706.
Panchugopal Bikram and Diptesh Saha; Weighted Subsequential ergodic theorems on Orlicz spaces, Operators and Matrices, vol 18, no. 3, Sept 2024, 735-751.
Samya Kumar Ray and Diptesh Saha; Weighted weak (1,1) estimate for non-commutative square function, Bulletin of the London Mathematical Society, July 2025.
Panchugopal Bikram and Diptesh Saha; Invariant states and weakly wandering projections, Proceedings of the AMS, Volume 153, Number 9, September 2025, Pages 3971–3985.
Panchugopal Bikram and Diptesh Saha; Maximal Inequalities Associated to Doubling Condition for State Preserving Actions, Journal of Functional Analysis, Volume 290, Issue 2, Jan, 2026: 111201.
Panchugopal Bikram and Diptesh Saha; On noncommutative ergodic theorems for semigroup and free group actions, Submitted.
Panchugopal Bikram, and Diptesh Saha; On the non-commutative Neveu decomposition and stochastic ergodic theorems, Submitted.
Panchugopal Bikram and Diptesh Saha; Maximal inequalities for square functions associated to group metric measure spaces, Submitted.
Sourav Panja, Éric Ricard and Diptesh Saha; Non-commutative Law of iterated logarithm, Submitted
On Non-commutative maximal inequality and ergodic theorems associated to the doubling condition for state preserving actions at YMC*A, 2025, Southern Denmark University.
On Non-commutative Ergodic theorems Associated to Doubling Condition for State Preserving Actions at Young Mathematicians in operator algebras, ISI Delhi held during Mar 24-Mar 29, 2025.
In weakly seminar of SMU, ISI Delhi on Some non-commutative Strong and Weak inequalities, Oct, 2024.
On non-commutative Neveu decomposition and associated ergodic theorems at Institute for advanced study in mathematics of HIT, China in May, 2024.
On weak type (1, 1) inequality for square functions at Young Mathematicians in operator algebras, ISI Delhi held during Feb 26-Mar 2, 2024.
Non-commutative Neveu decomposition and associated ergodic theorems, symposium talk at 38th Annual Conference of Ramanujan Mathematical Society, IIT Guwahati held during Dec 22-24, 2023.
On the non-commutative Neveu decomposition and stochastic ergodic theorems for amenable group action, invited speaker at the Conference of Ergodic theory and von Neumann algebra (held online) during Aug 4-6, 2022.
On the von Neumann algebras associated to Yang-Baxter operators in a symposium at the online conference Virtual Math Fest 2020 held during July 20-26, 2020.
Conference on Quantum Groups and Noncommutative Geometry at NISER Bhubaneswar during January 15-19, 2018.
AIS Harmonic Analysis at NISER Bhubaneswar during 17th Dec, 2018 to 5th Jan, 2019.
International Conference on Recent advances in Operator Theory and Operator Algebras 2018 at ISI Bangalore during December 13-19, 2018.
Conference on Noncommutative geometry and its applications (NCGA @ NISER) at NISER Bhubaneswar during January 6 to 10, 2020.
Conference on Ergodic Theory and Dynamical Systems (HYBRID) at ICTS Bangalore during Dec 05 to 10, 2022.
Workshop on Geometry, Analysis and Mathematical Physics at NISER, Bhubaneswar during Jul 24 to Aug 02, 2023.
Quantum Analysis-I at IIT Madras during Jan 6 to Jan 10, 2025.