Currently I am an Assistant Professor (Gr-I) at IISER Berhampur. My Bachelor's degree is from Institute of Mathematics and Applications (IMA), Bhubaneswar, with Honours in Mathematics and Computing. Then I joined IISER Pune for the Integrated PhD program (M.Sc. and PhD dual degree), and I graduated from there in 2022. The title of my doctoral thesis was “Boundary behaviour of the Carathéodory and Kobayashi-Eisenman volume elements and the Kobayashi-Fuks metric”. After completing my PhD, I joined IIT Bombay as an Institute Postdoctoral Fellow in March 2022. After one year, I got selected for the NBHM Postdoctoral Fellowship, using which I joined IISc Bangalore as a Postdoctoral fellow from April 2023 to March 2025. Thereafter I served as an Assistant Professor at IMA Bhubaneswar from April 2025 to August 2026, prior to joining IISER Berhampur. My research interests lie in complex analysis, more specifically, Several Complex Variables (SCV). My research focuses on the study of the geometric properties of domains in complex Euclidean spaces and the interaction between boundary geometry and intrinsic complex-analytic invariants.
1. Boundary behaviour of the Carathéodory and Kobayashi-Eisenman volume elements, Diganta Borah and Debaprasanna Kar, Illinois Journal of Mathematics 64 (2020), no. 2, 151–168.
DOI: 10.1215/00192082-8303461.
2. Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains, Diganta Borah and Debaprasanna Kar, Journal of Mathematical Analysis and Applications 512(2):126162, 2022.
DOI: 10.1016/j.jmaa.2022.126162.
3. Existence of geodesic spirals for the Kobayashi–Fuks metric on planar domains, Debaprasanna Kar, Complex Analysis and Operator Theory 17, 46 (2023),
DOI: 10.1007/s11785-023-01355-7.
4. Weighted boundary limits of the Kobayashi–Fuks metric on h-extendible domains, Debaprasanna Kar, Analysis Mathematica, Volume 50, pages 215–233 (2024),
DOI: 10.1007/s10476-024-00013-0.
5. Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on (C-)convex domains, Debaprasanna Kar, Bulletin des Sciences Mathématiques, Volume 195, October 2024, 103467,
DOI: 10.1016/j.bulsci.2024.103467.
