Hello, I am Debabrata De. I do research in Mathematics. Currently, I am an Inspire Faculty at the Department of Mathematics, IIT Guwahati, India.
My broad research area is Functional analysis. I am interested in the theory of Operator algebras and mainly focus on the theory of von Neumann algebras and Tomita-Takesaki theory. I also have a research interest in completely positive maps, Markov maps, bimodules, and Ergodic theory.
On Bounded Coordinates in Bimodules, (2024), Internat. J. Math., 35 (2024), 2350104, 32 pp (with Kunal Mukherjee).
On the existence of uniformly bounded self-adjoint bases in GNS spaces, Doc. Math., 28(6), (2023), 1381-1392 (with Kunal Mukherjee).
On bounded coordinates in GNS spaces, Dissertationes Math., 583 (2023), 1-106. (with Kunal Mukherjee).
A Characterization of Atomic von Neumann Algebras, Proc. Indian Acad. Sci. Math. Sci., 132(2), (2022), Paper No. 44, 9 pp. (with Kunal Mukherjee).
On symmetric embedding of type I factors, J. Math. Phys., 62(1), (2021), Paper No. 013511, 28pp. (with Kunal Mukherjee).
Will be updated.
2025, August -- Present : Inspire Faculty, Department of Mathematics, IIT Guwahati.
2024, August -- 2025, July : NBHM Post Doctoral Fellow, Department of Mathematics, IIT Guwahati.
2022, July -- 2024, July : Post Doctoral Fellow, NISER Bhubaneswar, Bhubaneswar, India.
2015, January -- 2022, May : Ph.D. in Mathematics, IIT Madras, Chennai, India.
2012 -- 2014 : MSc in Mathematics, TIFR-CAM, Bangalore, India.
2009 -- 2012 : B.Sc in Mathematics, Jadavpur University, Kolkata, India.
Awarded Inspire Faculty in 2025.
Awarded NBHM Post-Doc Fellowship in 2024.
Awarded Smt Lakshmikutty Amma and Shri A Krishnankutty Nair Prize (for Best Thesis) from IIT Madras in 2022.
Awarded NBHM Research Fellowship in 2015.
Qualified National Eligibility Test (NET) for Junior Research Fellowship in December 2014 (CSIR-32).
Qualified National Eligibility Test (NET) for Junior Research Fellowship in June 2013 (CSIR-33).
Awarded Inspire Scholarship, Govt. of India from 2009 to 2012.