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Dr. Lav Kumar Singh

Assistant Professor, Department of Mathematics, School of Engineering, Haridwar

Qualification: Ph.D
lavkumarsingh@hd.amrita.edu
Orcid Profile
Google Scholar Profile
Scopus Author ID
Research Interest: Operator algebras, Functional Analysis, Harmonic analysis

Bio Publications FDP / Workshops Talks Delivered Conferences Attended
Bio

Dr. Lav Kumar Singh is a mathematician specializing in Functional Analysis, Banach Algebras, and Operator Algebras. He received his PhD from the School of Physical Sciences, Jawaharlal Nehru University (JNU), New Delhi. His research interests include Banach and topological algebras, C*-algebras and locally C*-algebras, group and Fourier algebras of locally compact groups, and biduals of Banach algebras. He has particular interests in Arens regularity, topological centers, Schatten (p)-class ideals, projective tensor products, and geometric properties of Banach spaces, including the Radon–Nikodým property, weak sequential completeness, and covering indices. He has held postdoctoral positions at the Institute of Mathematics, Physics and Mechanics (IMFM), Ljubljana, as well as at IISER Bhopal and IIT Gandhinagar. His research combines techniques from functional analysis, harmonic analysis, operator theory, and the geometry of Banach spaces. Alongside research, he is actively involved in teaching mathematics and mentoring students, with an interest in developing rigorous and accessible approaches to advanced mathematical concepts. His academic work includes research on structural and geometric properties of Banach and operator algebras and their applications to contemporary problems in analysis.

Publications

Journal Article

Year : 2026

Sherman-Takeda type theorems for locally C*-algebras

Cite this Research Publication : Lav Kumar Singh, Aljoša Peperko. “Sherman-Takeda type theorems for locally C*-algebras”, Mathematics, Operator Algebras, 2026.

Year : 2026

On some Fréchet spaces associated to the functions satisfying Mulholland inequality

Cite this Research Publication : Lav Kumar Singh, Aljoša Peperko. “On Fréchet spaces associated to the Young functions satisfying Mulholland inequality”, Filomat 40:4 (2026), 1541–1553.

Year : 2024

Annihilators in the Bidual of the Generalized Group Algebra of a Discrete Group

Cite this Research Publication : Lav Kumar Singh, Annihilators in the Bidual of the Generalized Group Algebra of a Discrete Group, Complex Analysis and Operator Theory, Springer Science and Business Media LLC, 2024, https://doi.org/10.1007/s11785-024-01506-4

Publisher : Springer Science and Business Media LLC

Year : 2024

Geometry of Banach algebra A and the bidual of L1(G)⊗ˆA

Cite this Research Publication : Lav Kumar Singh, Geometry of Banach algebra A and the bidual of L1(G)⊗ˆA, Journal of Mathematical Analysis and Applications, Elsevier BV, 2024, https://doi.org/10.1016/j.jmaa.2023.128056

Publisher : Elsevier BV

Year : 2022

On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space

Cite this Research Publication : Lav Kumar Singh, Ved Prakash Gupta. “On strong Arens irregularity of the projective tensor product of Hilbert-Schmidt spaces”. Houston Journal of Mathematics, Vol. 48(2), 337–351 (2022)

Year : 2022

(∆mv ,f)-lacunary statistical convergence of order α

Cite this Research Publication : Arvind Verma, Lav Kumar Singh, (∆mv ,f)-lacunary statistical convergence of order α, Proyecciones (Antofagasta), Universidad Catolica del Norte - Chile, 2022, https://doi.org/10.22199/issn.0717-6279-4757

Publisher : Universidad Catolica del Norte - Chile

Year : 2021

On Arens regularity of projective tensor product of Schatten spaces

Cite this Research Publication : Lav Kumar Singh, On Arens regularity of projective tensor product of Schatten spaces, Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, 2021, https://doi.org/10.1216/rmj.2021.51.1433

Publisher : Rocky Mountain Mathematics Consortium

Year : 2020

Some functorial properties of Schatten classes

Cite this Research Publication : Lav Kumar Singh, A. K. Verma, Some functorial properties of Schatten classes, Advances in Operator Theory, Springer Science and Business Media LLC, 2020, https://doi.org/10.1007/s43036-020-00049-7

Publisher : Springer Science and Business Media LLC

FDP / Workshops
  • Faculty Development Program (FDP): “Efficient VLSI Device Designing using Quantum, IoT and ML Approaches”
  • Faculty Development Program (FDP): “Next Generation Technologies of Wireless Communications (NGTWC-2023)”
  • Organizing the 3rd IEEE International Conference on Communication, Control and Intelligent Systems (CCIS 2024)
Talks Delivered

Research Talks Delivered

  • Delivered a seminar at the Seminar in Algebra and Functional Analysis (SAFA), Faculty of Mathematics and Physics, University of Ljubljana, Slovenia, on “Kaplansky Density Property in Locally C*-algebras and a Sherman–Takeda Type Theorem.”
  • Presented a contributed talk at SWOT 2025, University of Agriculture, Kraków, Poland, 21–24 July 2025.
  • Participated in IWOTA 2025, University of Twente, Enschede, Netherlands, 14–18 July 2025.
  • Presented a contributed talk at the International Workshop on Operator Theory and its Applications (IWOTA 2024), University of Kent, Canterbury, United Kingdom, 12–16 August 2024.

Invited Talks

  • Delivered a talk at the Seminar in Algebra and Functional Analysis (SAFA), Faculty of Mathematics and Physics, University of Ljubljana, Slovenia, on “Kaplansky Density Property in Locally C*-algebras and a Sherman–Takeda Type Theorem.”
Conferences Attended
  • Seminar in Algebra and Functional Analysis (SAFA), Faculty of Mathematics and Physics, University of Ljubljana, Slovenia.
    Invited Seminar Talk: “Kaplansky Density Property in Locally (C^*)-Algebras and a Sherman–Takeda Type Theorem.”
  • SWOT 2025, University of Agriculture, Kraków, Poland, 21–24 July 2025.
    Contributed Talk.
  • International Workshop on Operator Theory and its Applications (IWOTA 2025), University of Twente, Enschede, Netherlands, 14–18 July 2025.
    Contributed Talk.
  • International Workshop on Operator Theory and its Applications (IWOTA 2024), University of Kent, Canterbury, United Kingdom, 12–16 August 2024.
    Contributed Talk.
  • National Conference on Operator Theory and Function Spaces, Shiv Nadar Institute of Eminence, India, 27–29 March 2024.
    Conference Participant.
  • Indian Women in Mathematics Conference, IISER Bhopal, India, 13–15 July 2023.
    Conference Participant.
  • Department of Mathematics, IIT Kanpur, India, 21 November–5 December 2022.
    Short-Term Visiting Scholar.
  • International Conference on Recent Trends in Mathematics, Hansraj College, University of Delhi, India, 22–24 December 2021.
    Paper Presentation (Online).
  • Conference on Algebra and Analysis, Ambedkar University Delhi, India, 23 April 2021.
    Paper Presentation (Online).
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