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Dr. V B KIRAN KUMAR

Assistant Professor

Department of Mathematics

Cochin University of Science and Technology
Kochi - 682022, Kerala, India

E-mail-

vbk@cusat.ac.in



BRIEF BIO
I joined CUSAT Maths department in 2015. Before that, I worked at PSMO College (2014-15), University of Calicut (2012-13). I was a postdoctoral fellow at Kerala School of Mathematics (2013-14). I completed my masters and PhD from CUSAT Maths Department.

RESEARCH INTERESTS
My research interest is broadly on Functional Analysis. I work on the spectral approximation problems on Hilbert spaces, with applications to concrete examples.

RESEARCH PROFILES
Google Scholar : https://scholar.google.co.in/citations?hl=en&view_op=list_works&gmla=AJsN-F5GoUKrHv6VTDHVL4RPgYwcw2dezBTHgctDZ7ZsNw5VzVYkvF6pcj2RZh2WxEqgM8LpQhDbMZCaiVYMh1GyhcZBjpxn9Q&user=chCK9y4AAAAJ

JOURNAL PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 21]
  • A Note on Generalized Locally Toeplitz Operators, Numerical Linear Algebra with Applications, 2025

  • Revisiting Korovkin-type theorems in Banach function spaces, Mediterranean Journal of Mathematics, 2025

  • Stability in non-normal periodic Jacobi operators: advancing Borg's theorem, Advances in Operator Theory, 2025

  • On approximating the symplectic spectrum of infinite-dimensional operators, Journal of Mathematical Physics , 2024

  • An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators, Quantum Studies: Mathematics and Foundations, 2024

  • An Expository Note on Wavelets and Graph C*-algebras, Indian Journal of Pure And Applied Mathematics, 2024

  • Operator Version of Korovkin Theorem; Degree of Convergence and Application to Preconditioners, Journal of Mathematical Analysis and Applications, 2023

  • Spectral Analysis of Singular Matrices in SIMO Channel, Applied Mathematics and Computations, 2023

  • Banach spaces of GLT Sequences and Function Spaces, Electronic Journal of Linear Algebra, 2022

  • Korovkin-type theorems on B(H) and their applications to function spaces, Monatshefte für Mathematik, Springer 2021

  • CONFERENCE PUBLICATIONS (RECENT) [TOTAL PUBLICATIONS : 2]
  • Discrete Borg-Type theorems, National Seminar on Topology and Analysis (NSOTA 2014),, 2014

  • Preconditioners in Spectral Approximation , Proceedings of the National Seminar on Mathematical Analysis and Algebra (MAA 2013), 2013

  • AWARDS AND HONOURS
  • Kerala State Young Scientist Award from KSCSTE, in the year 2017

  • RESEARCH PROJECTS
  • "Study of Spectral Properties of Infinite Dimensional Operators using Linear Algebraic Techniques" (UGC- -0001 --0001 , Total outlay Rs.1000000)

  • "Korovkin-type Approximation and Application to Spectral Analysis" (KSCSTE- 0021 -0024 , Total outlay Rs.1425000)

  • "Symplectic Spectral Theory" (SERB- 0023 -0026 , Total outlay Rs.1403600)