I’m Vivek Sahu, currently a N-PDF (National Post-Doctoral Fellowship) Fellow in the Theoretical Statistics and Mathematics Unit at the Indian Statistical Institute, Delhi Centre, India, under the mentorship of Prof. Debdip Ganguly.
My Research interests are Functional inequalities, Stability Analysis, Fractional Hardy Inequalities, Fractional Sobolev Spaces, Non-local Problems, Log-Sobolev inequalities
I defended my Ph.D. thesis on "Study of Hardy inequalities on fractional Sobolev space and functions of bounded variation" under the supervision of Prof. Prosenjit Roy, on 28th July 2025.
National Post-Doctoral Fellowship (N-PDF)
Theoretical Statistics and Mathematics Unit
Indian Statistical Institute, Delhi Centre, India
Mentor: Prof. Debdip Ganguly
(December 2025 - Present)
Fellowship for Academic and Research Excellence (FARE)
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur, India
Mentor: Prof. Prosenjit Roy
(May 2025 - November 2025)
Mathematics
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur, India
Thesis title : Study of Hardy inequalities on fractional Sobolev space and functions of bounded variation
Thesis Supervisor : Prof. Prosenjit Roy
Thesis Defense date : 28th July 2025
(Jan 2021 - July 2025)
Indian Institute of Technology Guwahati, India (2018-20)
St. Xavier's College, Ranchi, India (2015-18)
With Prof. L.C. Evans
With Prof. Adimurthi