Introduction

Dr. Sumit Kumar Rano is an Assistant Professor in the Department of Humanities and Basic Sciences at the Indian Institute of Information Technology Senapati, Manipur, a position he has held since July 2025. Prior to this, he held Post-Doctoral Positions at the School of Mathematical Sciences, NISER Bhubaneswar; the Department of Mathematics, IISER Bhopal; and the Theoretical Statistics and Mathematics Unit, Indian Statistical Institute Kolkata.

His research interests lie in abstract harmonic analysis, with a focus on harmonic analysis on homogeneous trees and their connections to hyperbolic spaces. His work investigates how classical results from Euclidean harmonic analysis extend to discrete non-Euclidean structures, drawing upon tools from potential theory, representation theory, and probability on graphs. His long-term goal is to deepen the understanding of analytic and geometric phenomena in both discrete and continuous settings.

Qualification

  • Ph. D. in Mathematics — Indian Institute of Technology Guwahati (2021)

  • M. Sc. in Mathematics — Indian Institute of Technology Madras (2015)

  • B. Sc. (Honours) in Mathematics — University of Calcutta (2013)

Experience

  • Assistant Professor — Indian Institute of Information Technology Senapati, Manipur (July 2025 – Present)

  • Institute Post-Doctoral Fellow — National Institute of Science Education and Research Bhubaneswar (April 2025 – July 2025)

  • Institute Post-Doctoral Fellow — Indian Institute of Science Education and Research Bhopal (June 2024 – April 2025)

  • N. B. H. M. Post-Doctoral Fellow — Indian Statistical Institute Kolkata (August 2021 – June 2024)

  • Visiting Scientist — Indian Statistical Institute Kolkata (May 2021 – July 2021)

Publications

  1. S. K. Rano : Eigenfunctions of the Laplacian Satisfying Hardy - Type Estimates on Homogeneous Trees, Potential Analysis 63 (2), 579 - 599 (2025). Link
  2. S. K. Rano and R. P. Sarkar : A theorem of Strichartz for multipliers on homogeneous trees, Mathematische Zeitschrift 309, Paper No. 2 (2025). Link
  3. T. Rana and S. K. Rano : Lp-boundedness of pseudo-differential operators on homogeneous trees, Studia Mathematica 272 (3), 221 - 244 (2023). Link
  4. P. Kumar and S. K. Rano : Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees, Comptes Rendus Mathématique 361, 1 - 13 (2023). Link
  5. S. K. Rano : A theorem of Roe and Strichartz on homogeneous trees, Forum Mathematicum 34 (1), 115 - 136 (2022). Link
  6. P. Kumar and S. K. Rano : A characterization of weak Lp-eigenfunctions of the Laplacian on homogeneous trees, Annali di Matematica Pura ed Applicata (1923 -) 200 (2), 721 - 736 (2021). Link

Awards / Achievement

  1. Selected for N. B. H. M. Post-Doctoral Fellowship in 2021