Sanghita Dutta
Contact

Dr. Sanghita Dutta

0364 2307930 - 2718
9436104791
sanghita22@gmail.com

Dr. Sanghita Dutta

Assistant Professor

Department of Mathematics

Qualifications:

Ph.D., NEHU

Teaching Experience:

22 years

Area of Interest

Differential Topology, Rings of Continuous????Functions, Graph Theory

Awards 

  • Awarded Gold Medal for securing First Class First position in M.Sc,Mathematics,  NEHU, Shillong (1991).
  • Awarded National Board for Higher Mathematics Fellowship for Ph.D program in the year 1991.

Phd Awarded: 5

M phil Awarded:

Publications

  • S. Dutta; S. S. Khare, Independence of Bordism Classes of Milnor Manifolds, Journal of Indian Mathematical Society, Vol. 68, Nos. 1-4(2001), 1-16.
  • S. Dutta; S. S. Khare, On Second Steifel-Whitney Class of Grassmann Manifolds and Cuplength, Journal of Indian Mathematical Society, Vol. 69, Nos. 1-4(2002), 237-251.
  • S. Dutta; J. P. J. Kharbhih, Super-Continuous Maps, Feebly-Regular and Completely Feebly-Regular Spaces, Matematika, Vol. 31 (2015), Number 1, 1–5.
  • S. Dutta; C. Lalong, On Annihilator Graphs of a Finite Commutative Ring, Transactions on Combinatorics, Vol. 6 No. 1 (2017), pp. 1-11.
  • S. Dutta; C. Lalong, Some results on graphs associated with vector spaces Journal of Information and Optimization Sciences, 38:8 (2017), 1357-1368.
  • S, Dutta, J. P. J. Kharbhih, Closure formula for ideals in intermediate rings, Applied General Topology, v. 21, n. 2, p. (2020), 195-200.
  • S. Dutta, NgangomRojitkumar Singh, The Double Total graph of A Commutative Ring, Advances and Applications in Discrete Mathematics, vol 24, Issue 2, (2020),pp 99-115. http://dx.doi.org/10.17654/DM024020099
  • S. Dutta, NgangomRojitkumar Singh, A note on the Double Total Graph
    Tu(Γ(R)) and Tu(Γ( )), Communications in Mathematics and Applications, vol 12, no 1 (2021), pp 203-211.
  • D. Kharkongor, L. Boro, M. M. Singh, S. Dutta, Some Properties of Von Neumann Regular Graphs of Rings, Journal of Indonesian Math. Soc., Vol. 28, No. 02 (2022), pp. 185-193.
  • D. Kharkongor, L. Boro, M. M. Singh, S. Dutta, Topological Indices of Total Graph of the ring  , TWMS J. Appl. and Eng. Math, vol. 13, no. 4, 2023, pp 1434-1445.
  • S. Dutta, P. Sharma, Some Results on The Total Graph of a Ring, Italian Journal of Pure and Applied Mathematics, vol. 48, (2022), pp 1133-1146.
  • S. Dutta, P. Sharma, On Idempotent Graph of Rings, Palestine Journal of Mathematics, vol. 12(1), (2023), pp 883-891.
  • G. Saharia, J. Dutta, S, Dutta,Neighborhood M-Polynomial of Graph Operations: Exploring Nanostructure Applications and Correcting Cycle-Related Graph Results, Iranian Journal of Mathematical Chemistry, Vol. 15, No. 3, 2024, pp. 155-174. DOI: 10.22052/IJMC.2024.253190.1733.
  • N. Rojitkumar Singh, S. Dutta, Book Thickness of Total Graph, Unit Graph and Double Total Graph of Commutative Rings with Genus atmost 2, Advances and Applications in Discrete Mathematics, Vol. 41, Number 5, July 2024, Pages 411-427.

Presented in Conferences/Seminars

  • ‘On rings of some classes of functions’, International ATM Workshop and Conference on Surgery Theory and Classification of manifolds, Department of Mathematics, NEHU, Shillong, June 17-26, 2013.
  • ‘Application of Graph Theory to Commutative Rings’, IWM-2013 during Dec. 23-18, 2013
  • On λs-sets in GTS, The 8th International Conference on ‘Mathematical Sciences for Advancement of Science and Technology’ MSAST-2014, Institute for Mathematics, Bioinformatics, Information Technology and Computer Science, Dec. 21-13, 2014.
  • Some generalized prime ideals in Cm(X), ICRAMA 2019, Tripura University, July 16-18, 2019.
  • Some results on essential graph of commutative rings, ICMMAAC-19, JECRC University, August 8-10, 2019.
  • The Regular 2-total Graph of a Commutative Ring, 13th International Conference MSAST- 2019,Institute for Mathematics, Bioinformatics, information technology and computer Science, Kolkata,21-23 Dec. 2019.
  • A note on total Graph of a finite Commutative Rings, International Conference on Mathematical Modelling in Applied Sciences, Department of Mathematics, Dibrugarh University, Dibrugarh, 28-30 June, 2020.
  • Some properties of 2-torsion and 2-singular Graphs of Modules, 16th International Conference MSAST - 2022, Institute for Mathematics, Bioinformatics, information technology and computer Science, Kolkata,21-23 Dec. 2022.
  • A study on graph spectra of zero divisor graph, one day International Seminar on Intersections: Computer Applications and Applied Mathematics organized by Shaheed Major Sanjeev Luther Government College, Julana, Jind held on 15th October, 2024.
  • Delivered a lecture on ‘Intermediate Algebra of C(X)’ in UGC-SAP seminar on ‘Topology and Algebra’ organized by Department of Mathematics, North Eastern Hill University, held during 13th-14th March, 2019.
  • Delivered a lecture on ‘Graph Theory in Number Theory’ in a Lecture Series organized by Jesus and Mary College, University of Delhi held on 22ndMarch, 2021.
  • Delivered a lecture on ‘Rings of Continuous Functions’ in one day webinar on The Beauty of Mathematics and Applications of Graph Theory, St. Anthony’s College, Shillongheld on 22nd December, 2021.

Seminar/Conference:

  1. Organized a National Seminar on Recent Trends in Topology and Its Application in the Department of Mathematics, North eastern hill university, Shillong, on 4th - 5th, August, 2022.