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Sri Krishna Arts and Science College (An Autonomous Institution)

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Dr. Madhan V ( M.Sc.,M.Phil., SET.,)

Assistant Professor

Email: madhanv@skasc.ac.in

Experience (SKASC) 6 years 9 months
Total Experience 9 years 8 months
Under GraduateB.Sc. Mathematics
Post GraduateM.Sc. Mathematics
PhD TitleNaviSpace through Navilogy and the theory of Embedding of Hilbert Manifold into Hilbert Spaces
Qualified with NET / SLETSLET
Scopus2
Peer Reviewed4
Details of Publications
  1. Venkatapathy, J., & Velayuthan, M. (2025). Isometric embeddings of higher-dimensional Hilbert manifolds into Hilbert spaces. Journal of Advanced Mathematical Studies, 18(2), 228–240.
  2. Venkatapathy, J., & Velayuthan, M. (2025). Axion fixed point theorem: A new framework bridging Hilbert manifolds and Hilbert spaces. Journal of the Indian Academy of Mathematics, 47(1), 81–87.
  3. Velayuthan, M., & Venkatapathy, J. (2025). Diffeomorphic embedding of higher-dimensional Hilbert manifolds into Hilbert spaces. Creative Mathematics and Informatics, 34(1), 133–141. (Scopus indexed)
  4. Velayuthan, M., & Venkatapathy, J. (2025). NaviSpace: A navilogy framework for connecting manifolds and functional spaces. Creative Mathematics and Informatics.
  5. Venkatapathy, J., & Velayuthan, M. (2025). Homotopic embeddings of infinite-dimensional Hilbert manifolds into Poincaré complexes. Journal of Hyperstructures, 14(2), 315–326.
  6. Madhan, V., & Jeyanthi, V. (2022). (n, m)-powers quasi-normal operators on Hilbert space. Bulletin for Technology and History, 22(8), 1–7. 




https://scholar.google.com/citations?user=SmMtUYAAAAAJ&hl=en

Details of Books


Book Chapters Published1
Details of Book Chapters
  1. Sivaraj, P., Madhan, V., Mallika, V., & Senthilkumar, K. R. (2024). Enhancing library services through optimization algorithms and data analytics: A mathematical model. In Digital Transformation of Academic Libraries: Developments and Encounters (pp. 290–306). IGI Global.
Details of Patents


Details of Funded Projects