Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Announcements

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Dr.Surjit Kumar

Assistant Professor

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

surjit

Personal Link

KCB 530

Functional analysis, Operator Theory

to email  add  username@iitm.ac.in'

Current Courses

  • 2026 Jan-May: Topics in Advanced Analysis (modified) (MA6110)

Previous Courses

  • July-Nov 2023: Functions of Several Variables (MA1101)

  • July-Nov 2022, July-Nov 2023, July-Nov 2024: Analysis (MA7840)

  • July-Nov 2022: Linear Algebra for Engineers (MA2031)

  • Jan-May 2024: Advanced Complex Analysis (modified) (MA6120)

  • Jan-May 2022; Jan-May 2023: Series and Matrices (MA1102 )

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

  • 2025 Jul-Nov: Differential Equations (MA2102)

  1. Brown-Halmos type characterization for the tetrablock

    Author: Jain, Shubham and Kumar, Surjit and Mal, Milan Kumar and Pramanick, Paramita

    Journal: Journal of Mathematical Analysis and Applications

    Volume: 557

    DOI: http://dx.doi.org/10.1016/j.jmaa.2025.130264

    Year: 2026

  2. Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

    Author: S. Jain, S. Kumar, M. K. Mal, and P. Pramanick

    Journal: preprint

    DOI: arXiv link

    Year: 2025

  3. Cartan Isometries and Toeplitz Operators on Cartan domains

    Author: Surjit Kumar, Milan Kumar Mal, Paramita Pramanick

    Journal: preprint

    DOI: arXiv link

    Year: 2025

  4. 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: Article's link

    Year: 2024

  5. 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: Article's link

    Year: 2024

  6. 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: Article's link

    Year: 2022

  7. 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: Article's link

    Year: 2019

  8. 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: Article's link

    Year: 2019

  9. 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: Article's link

    Year: 2016

  10. 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: Article's link

    Year: 2014

  11. 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: Article's link

    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: Jan 2023- Dec 2025 (3 years)

  2. Project Type: Sponsored (IRG)

    Project Title: U(d)-homogeneous Subnormal tuple of operators

    Co-Ordinators: Surjit Kumar

    Agency: Anusandhan National Research Foundation (ANRF)

    Duration: 2025 -2028 (3 Years)

Post Doctoral Students:
Dr. Shamim Sohel, National Post-Doctoral Fellow, December 2025 - Present
Dr. Rajkamal Nailwal, Institute Post-doctoral Fellow (IPDF), April 2024 - Nov 2024

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