Department of Mathematics

Dr. Manoranjan Singha

M.Sc., Ph.D.

Assistant Professor

Contact Addresses:



Address(office) Department of Mathematics, University of North Bengal, Raja Rammounpur, PO-N.B.U., Dist-Darjeeling, West Bengal, Pin-734013, India.


Areas of Interest:  Topology, Functional Analysis and Algebra.

Some Publications:


  1. S. Das, M. Singha and  S. De Sarkar, Semi Open  and Weakly  Semi Open Sequential Sets in Sequential Topological Spaces, Vesnik BSPU  9,   2 (19) (2009), 40-52.
  2. N. Tamang,  M. Singha and S. De Sarkar,  Separation Axioms in Sequential Topological Spaces in the Light of Reduced and Augmented Bases, Int. J. Contemp. Math. Sci.  6 (23) (2011), 1137-1150.
  3. M. Singha and S. De Sarkar, On KΩ and Relative Closure Operators in (P(X))^N, J. Adv. Stud. Topol. 3 (1) (2012), 72-80.
  4. M. Singha and S. De Sarkar, On Monotonic Sequential Operators, Southeast Asian Bull. Math. 37 (2013), 903-918.
  5. M. Singha,  Urysohn's Lemma in Weak Structures, Bull. Cal. Math. Soc. 104 (6) (2012), 547-552.
  6. M. Singha and S. De Sarkar, Towards Urysohn's Lemma in Minimal Structures, Int. J. Pure Appl. Math. 85 (2) (2013), 255-264.
  7. M. Singha, Two Fixed Point Theorems in the Language of Cone Metric Spaces, Journal of Mathematics, IV (1) (2012), 67-76.
  8. M. Singha, Sequential Interior Operators, Journal of Pure Mathematics (Calcutta University) 29 & 30,  2013, 126-138.
  9. M. Singha,  N. Tamang and S. De Sarkar,  Fuzzy Sequential Topological Spaces,  International Journal of Computer and Mathematical Sciences,  3 (4) (2014),  2347-8527.
  10. N. Tamang,  M. Singha and S. De Sarkar,  Separation Axioms in Fuzzy Sequential Topological Spaces,  J. Adv. Stud. Topol.,  4 (1)  (2013),  83-97.
  11. N. Tamang,  M. Singha and S. De Sarkar,  FS-closure operators and FS-interior operators,  Ann. Fuzzy Math. Inform.,  6 (3)  (2013),  589-603.
  12. N. Tamang,  M. Singha and S. De Sarkar, Composition of fuzzy sequential operators with special emphasis on FS-connectors, Palestine Journal of Mathematics,  4 (1)  (2015),  37-43. 
  13. M. Singha and Kaushik Sarkar, Asymptotic generalization of a fixed point theorem in partial metric spaces, International Journal of Mathematical Archive, 6 (6),  2015, 141-146.

    Paper Presentations in National and International Seminars:

  14. M. Singha, On K-omega, omega and relative closure operators, UGC Seminar on Recent Advances in Mathematical Sciences and Applications, University of North Bengal, February 10-11, 2011.
  15. M. Singha, On monotonic sequential operators, National Seminar on Analysis, Modeling and Geometric Topology, University of Kalyani, March 21-22, 2012.
  16. M. Singha, Urysohn’s lemma in weak structures, National Seminar on Mathematical Analysis and Applications: Present Perspective, Calcutta Mathematical Society, September 06-07, 2012. This paper was adjudged as the best paper presentation for Anita Bose Majumder Memorial Award )
  17. M. Singha, Generalized Topology with Special Emphasis on Normality, National Seminar on Advances in Mathematics and Applications, The University of Burdwan, March 06-07, 2013.
  18. M. Singha, Ring Structure on Any Nonempty Set, National Seminar on Recent Trends in Mathematics, University of Kalyani, March 08, 2013.
  19. M. Singha, k-metric spaces with special emphasis on identities in differences, National Conference on Non-Linear Dynamics, Analysis and Optimization, Jadavpur University, January 09-10, 2014.
  20. M. Singha, Sequential Operators and Connectors, 3rd International Conference on Frontiers of Mathematics and Applications, The University of Burdwan, January 29-31, 2014.
  21. M. Singha, Some Aspects in Generalized Topological Speces, National Seminar on Mathematics and its Applications, University of Kalyani, March 04-05, 2014.
  22. M. Singha, Towards Partition of Unity in Generalized Topological Spaces, National Seminar on Recent Development in Mathematics and its Applications, University of Calcutta, March 12, 2014.
  23. M. Singha, Topological warm-up of k-metric spaces and some fixed point theorems, International Conference on Current Developments in Mathematics and Mathematical Sciences, Calcutta Mathematical Society, December 19-21, 2014.

Workshop attended :

  1. “Workshop on General Topology with Special Emphasis on Proximities, Compactifications and Rings of Continuous Functions” organized by the Department of Mathematics, University of North Bengal, during 21st  February – 2nd March, 2013.

Invited talk:
  1. M. Singha, Mathematics in Everyday Life, National Seminar on "Mathematics in Everyday Life" (UGC sponsored), Pramathesh Barua College, Gauripur, Dhubri, Assam, September 20-21, 2014.