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Doctor Amit Kumar

Assistant Professor

Dr. Amit Kumar is currently working as an Assistant Professor in the Department of Mathematics, School of Basic Sciences, Galgotias University Greater Noida, Uttar Pradesh, India. He has received his Ph.D. Degree from the Department of Applied Mathematics, National Institute of Technology Raipur, India. He qualified UGC/CSIR-NET/JRF in Mathematical Sciences. He participated in several international and national conferences. Dr. Amit published several research papers in reputed SCI/SCIE peer-reviewed international journals. He is reviewer in AMS Mathematical Reviews/MathSciNet (ID 1531126), Filomat, Pure and Applied Mathematics Journal, Electronics journal of Linear Algebra and journal of Applied Mathemathematics and Computing. Due to my previous research experiences, I have a keen research interest in the following area of mathematical analysis and its application: Algebra, Linear Algebra, and Graph Theory. My teaching preference are: Probablitlity and Statistics, Numerical Metheod, Linear Algebra, Math Puzzles and Games, and Ordinar Differential Equations,.

Experience

6 Months (regular) of Teaching Experience

Education Qualification

  • Ph.D. in Mathematics from National Institute of Technology (NIT), Raipur, Chhattisgarth, India.

Thesis Title: On Reverse and Forward Order Laws

Thesis Supervisor: Prof. Debasisha Mishra (IIT Madras, Chennai). 

Defence Date: 19 September 2024; Degree Awarded: 2024

  1. M.Sc. in Mathematics from KurukshetraUniversity Kurukshetra, India in 2019.
  2. B.Sc. in Mathematics and Statistics from RKSD PG College (KurukshetraUniversity Kurukshetra) Kaithal, India in 2017.
  3. Intermediate in Mathematics and Science from Saraswati Sr. Sec Shool, India in 2014.

Award & Recognition

  1. Qualified UGC/CSIR- NET/JRF in Mathematical Sciences in 2018, 2019, 2024.

Research Papers Published

  1.  Kumar A.; Vaibhav Shekhar, Mishra D., W -weighted GDMP inverse for rectangular matrices, Electronic Journal of Linear Algebra, 38 (2022), 632-654.
  2. Kumar, A.; Mishra, D., On forward-order law for core inverse in rings. Aequationes mathematicae, 97 (2023), 537–562.
  3. Kumar, A.; Shekhar, V.; Mishra, D., On generalized-Drazin inverses and GD-star matrices. Journal of Applied Mathematics and Computing, 69 (2023), 4553-4585.
  4. Kumar, A.; Mishra, D., On WD and WDMP generalized inverses in rings. Filomat, 38:16 (2024), 5681–5697.
  5. Kumar, A., On reverse-order law for weak core inverse. (2023) Under Re-vision.
  6. Verma, T.; Kumar, A.; Mishra, D., Reverse order law for NDMPI of dual matrices and its applications, (2024), Submitted.
  7.  Panda, S.K.; Kumar, A., Note on 1D generalized inverse in rings, (2024), Pre-print.

Cnferences/Workshops/Webinars

  1. Presented a paper entitled“The forward-order law for core inverse in rings” in the “International Conference on Analysis and Discrete Mathematics” organized by Utkal University, 26-27 March, 2022.
  2. Presented a paper entitled“Reverse-order law for weak core inverse” in the “International Conference on Algebra, Analysis and Applications” organized by MIT Manipal, 06-08, January 2023.
  3. Presented a paper entitled“On generalized-Drazin inverses and GD-star matrices” in the “Tensor Computation and Machine Learning” organized by IISc Bangalore, 17-18, November 2023.
  4. Presented a paper entitled“A note on generalized-Drazin inverses” in the “International Conference on Linear Algebra and its Applications (ICLAA 2023)” organized by MIT Manipal, 18-21, December 2023.
  5. Presented a paper entitled “Reverse-order law for weak core inverse” in the “19th Chhattisgarh Young Scientist Congress” organized by National Institute of Technology Raipur and Chhattisgarh Council of Science & Technology, 26th-27th, February 2024.
  6. Presented a paper entitled “Dual Drazin inverse for dual matrices” in the “18th Chhattisgarh Young Scientist Congress” organized by Pt. Ravishankar Shukla University and Chhattisgarh Council of Science & Technology, 26th-27th, February 2024
  7. Presented a paper entitled “A note on reverse-order law for dual drazin inverse” in the “1nd Research Scholars’ Conclave 2022” organized by NIT Raipur held on 19th Augest 2022.
  8. Presented a paper entitled “A note on reverse-order law for core inverse” in the “2nd Research Scholars’ Conclave 2023” organized by NIT Raipur held on 11th July 2023.

Area of Interest

Algebra, Linear Algebra, and Graph Theory.