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My research interest is on Numerical Linear Algbera. In particular, I work on finding an iterative solution of a system of linear equations whose coefficient matrix can be nonsingular/singular or even rectangular using matrix splittings and generalized inverses.

Recent Publications

1. Verma, T.; Kumar, A.; and Vaibhav Shekhar. "Existence and characterisations of hyper-dual group inverse." (2025).
2. Vaibhav Shekhar, and P. Sharma. "Additional results on convergence and semiconvergence of three-step alternating schemes for solving singular linear system." Filomat (2025).
3. Vaibhav Shekhar,. "Further results on convergence of two-stage alternating iterative scheme." Indian Journal of Pure and Applied Mathematics (2024).

• October 2024 - Present :
  Assistant Professor, Department of Mathematics, BRABU, Muzaffarpur, Bihar.
• January 2024 - October 2024:
  Assistant Professor, Department of Humanities and Applied Sciences, Government Engineering College, Sheikhpura, Bihar.
  
• December 2022 - December 2023:
  Post Doctoral Fellow, Department of Mathematics, Indian Institute of Technology Delhi, New-Delhi.
  Mentor: Dr. Punit Sharma
• August 2022 - December 2022:
  Temporary Faculty, Department of Mathematics, National Institute of Technology Raipur, Chhattisgarh.
• February 2022 - July 2022:
  Guest Faculty, Department of Mathematics, Marwari College, Ranchi, Jharkhand.

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• August 2018 - February 2022:
  PhD in Mathematics, Department of Mathematics, NIT Raipur, Chhatisgarh.
  Advisor: Dr. Debasisha Mishra
• August 2015 - June 2017:
  MSc in Mathematics, Department of Mathematics, Central University of South Bihar, Gaya,
  Bihar.
• August 2012 - June 2015:
  BSc in Mathematics, Department of Mathematics & Statistics, St. Xavier's College, Ranchi,
  Bihar.

Reviewer/Referee work

Review work:

• AMS Mathematical Review (Mathscinet)

Referee work:

• Journal of Applied Mathematics and Computing (SCIE)
• Filomat (SCIE)
• Mathematical Notes (SCIE)
• AIMS Mathematics (SCIE)
• Mathematical Modelling and Control (ESCI, Scopus)
• Advances in Pure Mathematics (Web of Science)