Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Announcements

team

Dr.Surjit Kumar

Assistant Professor

044 - [22]-57 [46]-12

surjit

Personal Link

KCB 530

Operator Theory

to email  add  username@iitm.ac.in'

Current Courses

  • Jan - May 2025: Basic Operator theory (modified) (MA6150)

Previous Courses

  • : Linear Algebra for Engineers (MA2031)

  • : Functions of Several Variables (MA1101)

  • : Series and Matrices (MA1102 )

  • : Advanced Complex Analysis (modified) (MA6120)

  • : Analysis (MA7840)

  1. Commuting tuple of multiplication operators homogeneous under the unitary group

    Author: Soumitra Ghara, Surjit Kumar, Gadadhar Misra and Paramita Pramanick

    Journal: Journal of the London Mathematical Society

    Volume: 109

    Page: e12890, 37 pp.

    DOI: https://doi.org/10.1112/jlms.12890

    Year: 2024

  2. A short note on the similarity of operator-valued multishifts

    Author: Soumitra Ghara, Surjit Kumar and Shailesh Trivedi

    Journal: Archiv der Mathematik

    Volume: 123

    Page: 263–274

    DOI: https://doi.org/10.1007/s00013-024-02026-5

    Year: 2024

  3. K-homogeneous tuple of operators on bounded symmetric domains

    Author: Soumitra Ghara, Surjit Kumar, and Paramita Pramanick

    Journal: Israel Journal of Mathematics

    Volume: 247

    Page: 331-360

    DOI: https://doi.org/10.1007/s11856-021-2268-0

    Year: 2022

  4. Von Neumann's inequality for commuting operator-valued multishifts

    Author: Rajeev Gupta, Surjit Kumar and Shailesh Trivedi

    Journal: Proceedings of the American Mathematical Society

    Volume: 147

    Page: 2599-2608

    DOI: https://doi.org/10.1090/proc/14410

    Year: 2019

  5. On the sum of two subnormal kernels

    Author: Soumitra Ghara and Surjit Kumar

    Journal: Journal of Mathematical Analysis and Applications

    Volume: 469

    Page: 1015-1027

    DOI: https://doi.org/10.1016/j.jmaa.2018.09.048

    Year: 2019

  6. Spherically balanced Hilbert spaces of formal power series in several variables - II

    Author: Surjit Kumar

    Journal: Complex Analysis and Operator Theory

    Volume: 10

    Page: 505–526

    DOI: https://doi.org/10.1007/s11785-015-0462-y

    Year: 2016

  7. Spherically balanced Hilbert spaces of formal power series in several variables. I

    Author: Sameer Chavan and Surjit Kumar

    Journal: Journal of Operator Theory

    Volume: 72

    Page: 405–428

    DOI: http://dx.doi.org/10.7900/jot.2013apr22.2000

    Year: 2014

  8. Unitary equivalence of operator-valued multishifts

    Author: Rajeev Gupta, Surjit Kumar and Shailesh Trivedi

    Journal: Journal of Mathematical Analysis and Applications

    Volume: 487

    Page: 124032, 23 pp.

    DOI: https://doi.org/10.1016/j.jmaa.2020.124032

    Year: 2020

  1. Project Type: Sponsored (MATRICS)

    Project Title: Subnormality and Complete Contractivity of K-homogeneous tuple of operators

    Co-Ordinators: Surjit Kumar

    Agency: Science and Engineering Research Board (SERB)

    Duration: January 2023- December 2025

Post Doctoral Students:
Dr. Rajkamal Nailwal, Institute Post-doctoral Fellow (IPDF), April 2024 - Nov 2024

MSc Project Students:
Anirban Mandal, Jan 2024 -May 2024