Dr. Debaprasanna Kar
Designation: Assistant Professor
Qualification:
Phone No.:
E-mail ID: deba.ima@iomaorissa.ac.in
Currently, I am an Assistant Professor at the Institute of Mathematics and Applications, Bhubaneswar. I completed my Integrated PhD program (M.Sc. and PhD dual degree) from IISER Pune 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. My research interests lie in complex analysis, more specifically, Several Complex Variables (SCV). My research focuses on studying the geometric nature and asymptotic behaviour of several biholomorphic invariants in SCV.
- Several Complex Variables, Complex Geometry
- Assistant Professor (2 April 2025 – Present): Institute of Mathematics and Applications, Bhubaneswar, India.
- NBHM Postdoctoral Fellow (1 April 2023 – 31 March 2025): Indian Institute of Science, Bangalore, India.
- Postdoctoral Fellow (30 March 2022 – 29 March 2023): Indian Institute of Technology Bombay, Mumbai, India.
- 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.
- 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.
- 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.
- 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.
- 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.
- Sibani Satapathy (Current Ph.D. Scholar)
- Received Academic Excellence Prize from IISER Pune in 2018
- Qualified for CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship (JRF) and Lectureship (LS) in 2018
- Got selected for National Board for Higher Mathematics (NBHM) Postdoctoral fellowship in 2023