Jituparna Goswami

Assistant Professor

MSc (Gauhati) PhD (Gauhati)

Algebra, Graph Theory

Department of Mathematics
Gauhati University, Guwahati, 781014
Email: jpg[at]gauhati[dot]ac[dot]in

Educational Qualification:

  • H.S.L.C     Bakaliaghat H.S. School 2001
  • H.S(Sc)     Cotton College, Guwahati 2003
  • B.Sc.(Mathematics)    Darrang College, Tezpur 2007
  • M.Sc.(Mathematics)    Gauhati University  2009
  • Ph.D       Gauhati University  2015

Award and Achievement:

  • Qualified UGC-CSIR NET in June 2010 and receieved  UGC Junior Research Fellowship
  • Receieved  Inspire Junior Research Fellowship from  Department of Science and Technology (DST), Govt. of India in 2010
  • Secured 1st class 1st position in M. Sc.(Mathematics) from Gauhati University in 2009.
  • Secured 1st class 1st position in B.Sc.(Mathematics) from Gauhati University in 2007.

Teaching Experience:

  •  May 2011-June 2017:    Assistant Professor, Dept. of Applied Sciences, Gauhati University Institute of Science and Technology
  • July 2017 onwards:    Assistant Professor, Dept. of Mathematics, Gauhati University

Teaching:

  • MA/M.Sc 1st Semester:       Algebra,                     
  • MA/M.Sc 2nd Semester:    Number Theory. 
  • MA/M.Sc 3rd Semester:     Graph Theory.
  • MA/M.Sc 4th Semester:    Algebraic Topology, Advanced Algebra. 

Area of Interest:

 Algebra and Graphs on Algebraic Structures.

Journal Publications (in SCOPUS/Web of Sciene Journals):

19. Sumon Bhowmick, Jituparna Goswami and Sukhendu Kar, S-k-prime and S-k-Semiprime ideals of semirings, Discussiones Mathematicae General Algebra and Applications, 2023 (Accepted for publication).

18.  Kamal Krishna Pathak and Jituparna Goswami, S-Semiprime ideals and Weakly S-Semiprime ideals of rings, Palestine Journal of Mathematics, 2023 (Accepted for publication). 

17.  Partha Protim Gogoi and Jituparna Goswami, Non-torsion element graph of a module over a commutative ring, Boletim da Sociedade Paranaense de Matematica, 2023 (Accepted for publication).

16. H. M. Imdadul Hoque , Helen K. Saikia, Jituparna Goswami and Diksha Patwari, Non-nilpotent Graph of Commutative Rings, Journal of Algebraic Systems, 2023 (Accepted for publication).

15. Laithun Boro, Madan Mohan Singh and Jituparna Goswami,  The unit graph  of a commutative semiring, Journal of Algebraic Systems, 2022 (Accepted for publication).

14.  Jituparna Goswami and Moytri Sarmah, On domination in the total torsion element graph of a module, Proyecciones Journal of Mathematics, Vol. 42, No. 3, 795-814, June 2023.

13. Jituparna Goswami and Laithun Boro, On the Weakly Nilpotent Graph of a Commutative Semiring, Boletim da Sociedade Paranaense de Matematica, Vol. 41, 1-10 , 2023.

12. Laithun Boro, Madan Mohan Singh and Jituparna Goswami,  The line graphs associated to the unit graphs of ring, Palestine Journal of Mathematics, Vol. 11, No. 4, 139-145, 2022.

11. Diksha Patwari, Helen K. Saikia and Jituparna Goswami,  Some results on domination in the generalized
total graph of a commutative ring, Journal of Algebra and Related Topics, Vol. 10, No. 1, 119–128, 2022.

10. Laithun Boro, Madan Mohan Singh and Jituparna Goswami,  Unit Graph of the Ring Zm  × Zn, Lobachevskii Journal of Mathematics, Vol. 43, No. 2, 345–352, 2022.

9.Jituparna Goswami and Masoumeh Shabani, Domination in the entire nilpotent element graph of a module over a commutative ring, Proyecciones Journal of Mathematics, Vol. 40, No 6, 1411-1430, December 2021.

8. Laithun Boro, Madan Mohan Singh and Jituparna Goswami,  Line Graph associated to the intersection graph of ideals of rings, Journal of Mathematical and Computational Science, Vol. 11, No. 3, 2736-2745, 2021.

7. Jituparna Goswami and Helen K. Saikia, On the spectrum of weakly prime submodule, Thai Journal of Mathematics, Vol. 19, No. 1, 51-58, 2021.

6. Jituparna Goswami , Submodule inclusion graph of a module , Advances in Mathematics: Scientific Journal, Vol. 9, No. 11, 9877–9886, 2020.

5. Jituparna Goswami , A note on strongly perfect groups , Advances in Mathematics: Scientific Journal, Vol. 9, No. 11, 9871–9875, 2020.

4. Jituparna Goswami, Some domination properties of the total graph of a module with respect to singular submodule, Online Journal of Analytic Combinatorics, Issue 15, 2020.

3. Saugata Purkayastha, Jituparna Goswami and Bhargab Debnath, Characterization of a Hyperperfect group, MATEMATIKA, Vol. 33, No. 1, 97-103, 2017.

2. Jituparna Goswami, Kukil Kalpa Rajkhowa and Helen K. Saikia, Total graph of a module with respect to singular submodule, Arab Journal of Mathematical Sciences, Vol. 22, 242-249, 2016.

1. Jituparna Goswami and Helen K. Saikia, On the Line Graph associated to the total graph of a module, MATEMATIKA, Vol. 31, No. 1, 7-13, 2015.

 Book Publications:

1. Jituparna Goswami and Saugata Purkayastha, Modules over Rings: Some Recent Developements, LAMBERT Academic Publishing, ISBN: 978-3-659-55776-7, 2020.

Research Students:

  1. Kamal Krishna Pathak (ongoing)
  2. Partha Protim Gogoi (ongoing)
  3. Sumon Bhowmick (ongoing)
  4. Biswajit Deka (ongoing)

Conference:

International:

  1.  Participated and co-ordinated the activities of the organizing committee as Co-convenor  in the International Conference on Green Energy and Smart Materials through Science, Technology and Management (GESM'14) held during 21-23 January, 2014 jointly organized by  Gauhati University, Guwahati, Assam India and University of South Africa (UNISA) , South Africa in association with SECONE,Guwahati,Assam.
  2. Presented a paper entitled "On the total graph of a module with respect to singular submodule " in the International Conference on Frontiers in Mathematics (ICFM)-2015 held during 26-28 March, 2015 organized by the Department of Mathematics, Gauhati University, Guwahati, Assam, India under UGC-SAP.
  3. Presented a paper entitled "On the excellent, domatically full and well covered Total Torsion Element Graph of a Module " in the International Conference on Applied Nonlinear Analysis & Soft Computing held online on 22-23 December, 2020 organized by the Department of Mathematics, Gauhati University, Guwahati, Assam, India. 
  4.  Presented a paper entitled "On the excellent,domatically full and well covered entire nilpotent element graph of a module over a commutative ring" in the 4th International Conference on Mathematical Modelling, Applied Analysis and Computation-2021(ICMMAAC-21)  held online on 5-7 August, 2021 organized by the Department of Mathematics, Faculty of Science, JECRC University, Jaipur, Rajasthan, India.
  5.  Presented a paper entitled "Some domination results in the entire nilpotent element graph of a module over acommutative ring" in the International Conference on Recent Advances in Mathematical Science and Its Applications  held online on 26-27 August, 2021 organized by the Department of Mathematics & Tamilnadu Common Wealth Centre, Mother Teresa Women'sUniversity, Kodaikanal, Tamilnadu, India.          

National:

  1. Presented a paper entitled "Strong Goldie Dimension and Krull Dimension  of  modules  " in the National Conference on Frontiers in Mathematics (NCFM)-2011 held during 29-30 September, 2011 organized by the department of Mathematics, Gauhati University,Guwahati, Assam, India under UGC-SAP.
  2. Presented a paper entitled "On strongly finite dimensional modules " in the 78th Annual Conference of the Indian  Mathematical Society (IMS) held during 22-25 January, 2013 organized by  department of Mathematics and DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi,India.
  3. Participated in the National Conference on Mathematics  held on 23rd December, 2013 organized by the department of Mathematics, Girijananda Chowdhury Institute of Management and Technology (GIMT),Guwahati, Assam, India.
  4. Presented a paper entitled "On the spectrum of weakly prime submodule " in the National Conference on Recent Trends of Mathematics and its Applications (RTMA)-2014  held during 26-27 May, 2014 organized by department of Mathematics, Rajiv Gandhi University, Rono Hills, Arunachal Pradesh, India.
  5. Presented a paper entitled "On the Inclusion submodule graph of a module over a commutative ring " in the National Conference on Mathematics and its Applications (NCMA)-2016 held during 21-22 October, 2016 jointly organized by department of Mathematics, Cotton College State University and department of Mathematics, Cotton College, Guwahati, Assam, India.
  6. Presented a paper entitled "On the  graph of the nilpotent elements of a  module  " in the National Conference on Advances in Mathematical Sciences  held during 22-23 December, 2016 organized by department of Mathematics, Gauhati University, Guwahati, Assam, India.

 Regional/ State Level:

  1. Participated in the North East Regional Conference of Mathematics-II (NERCOM-II) held on 16 July, 2011 organized by the Assam Academy of Mathematics, Assam, India.

 

 

Seminar/Symposium:

  1. Participated in the One day Symposium held on 22nd  September, 2012 on  the occasion of National Mathematics Year organized by  department of Mathematical Science, Gauhati University, Guwahati, Assam, India.
  2. Presented a paper entitled "On the line graph associated to the total graph  of a module " in the National Seminar on Advances in Mathematical Sciences held on 22nd  December, 2015 jointly organized by the Assam Academy of Mathematics and department of Mathematics, Gauhati University, Guwahati, Assam India.

Workshop:

  1. Participated in the UGC-SAP Workshop on " Algebra, Algebraic Topology and Related Topics" during 15-20 March, 2010 organized by  the department of Mathematics, North Eastern Hill University, Shillong, Meghalaya, India.
  2. Participated in the NBHM  sponsored  Advanced Instructional School on Numerical Linear Algebra during 2-22 December, 2010 organized by  the department of Mathematics, IIT Guwahati, Assam, India.
  3. Participated in the NEQIP funded Workshop on " Nanotechnology and Bio-informatics: Applications at interface " during 6-7 February, 2015 organized by  the department of Bio-Engineering, Gauhati University Institute of Science and Technology (GUIST), Guwahati, Assam, India.
  4. Participated in the NEQIP funded Workshop on " Maintenance and Operation of Computing Infrastructure " during 27 -28 February, 2015 organized by  Gauhati University Institute of Science and Technology (GUIST), Guwahati, Assam, India.
  5. Participated in the NEQIP funded Workshop on " Fundamentals and advances in analytical techniques in Applied Sciences " during 3-4 March, 2015 organized by  the Chemical Science Section, department of Applied Sciences, Gauhati University Institute of Science and Technology (GUIST), Guwahati, Assam, India.
  6. Participated in the NEQIP funded Workshop on " Interdisciplinary Mathematics and its applications in Applied Sciences" during 24th March, 2015 organized by  the Mathematical Science Section, department of Applied Sciences, Gauhati University Institute of Science and Technology (GUIST), Guwahati, Assam, India
  7. Participated in the NEQIP funded National Level Workshop on " Big Data (Data Analytics) " during 2-6 January, 2017 organized by Gauhati University Institute of Science and Technology (GUIST) in association with KOVID and IEEE student branch, Gauhati University, Guwahati, Assam, India.
  8.  Participated in the NEQIP funded National Level Workshop on " LabVIEW" during 9-13 January, 2017 organized by Gauhati University Institute of Science and Technology (GUIST) in association with NATIONAL INSTRUMENTS and IEEE student branch, Gauhati University, Guwahati, Assam, India.

 

  1. Delivered two lectures Linear algebra-I and Linear algebra-II in the Short Term Course on Higher Secondary Mathematics organized by the dept. of Mathematics, Girijananda Chowdhury Institute of Management and Technology, Azara, Guwahati-17 on 20 June, 2016.
  2. Delivered an Invited lecture entitled "Partition of Integers: An Overview" in the Orientation Programme organized by the dept. of Mathematics, University of Science and Technology Meghalaya on 16 November, 2021.
  3. Acted as a resource person in two sessions in the Online 15th ID Refresher Course on “Mathematics & Statistics” (Pure & Applied) within the period   24 Jan to 07 Feb, 2022 organized by UGC HRDC Gauhati University on 3 February and 5 February, 2022.

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