Educational Qualifications:

Pd. D., in Mathematics,

Dibrugarh University, Assam.

Thesis title: Study of Certain Aspects of Multiparameter Matrix Eigenvalue Problems.

Supervisor: Prof. A. K. Baruah

M. Sc., in Mathematics

Gauhati University, Guwahati, Assam.

B.Sc., Major in Mathematics,

Jagannath Barooah College, Jorhat, Assam.

 

Area of interest:

 

Numerical Linear Algebra, Polynomial Eigenvalue Problems, Multiparameter Eigenvalue Problems, Graph Coloring.

 

Member of Professional Bodies:

 

1.  Assam Academy of Mathematics (AAM), Assam

2.  International Association of Engineers (IAENG), Hong Kong

3.  International Linear Algebra Society

 

Contact:

Phone: +91-8011197710 (M);  0373-2370774 (O)

E-mail: niranjanbora11@gmail.com ,   niranjanbora@dibru.ac.in 

Other Responsibilities 

• Member, DRC in Mathematics, Dibrugarh University
• Member, Board of Studies in Mathematics, Jagannath Barooah College (Autonomous), Jorhat, Assam.
• General Secretary (i/c), Assam Academy of mathematics, Dibrugarh Branch
• Member, Institute Management Committe of DUIET, Dibrugarh University for the year 2018
• Assistant Officer-in-Charge of B.Tech Examinations, DUIET, Dibrugarh University from June, 2018 to July 2021.

Research Guidance:

(a) Ph.D.

Sl. No.	Name	Title of the thesis	Year	Status
1	Rubul Moran	On Certain Aspects of T-Coloring and ST-Coloring of Graphs	2022	Ongoing
2	Bharati  Borgohain	Certain Aspects of Polynomial and Multiparameter Eigenvalue Problems	2022	Ongoing
3	Mukesh Lahon	Certain Aspects of Parametric Fuzzy Eigenvalue Problems	2022	Ongoing

(b) M.Phil.

Sl. No.	Name	Year	Status
1	Bikash Chutia	2021	Awarded

 

1. N. Bora, B. Buragohain and B. Sharma, "Linearizations of cubic two-parameter eigenvalue problem and its vector space", Contemporary Mathematics 5(1), 930-948, 2024 [indexed in scopus, Web of Science].
2. N. Bora and B. Buragohain. "On the Kronecker Structure of linearization of cubic two-parameter eigenvalue problems", Malaysian Journal of Sc. (Accepted) [indexed in Scopus].
3. R. Moran and N. Bora. "On T and ST-Coloring of n-Hypercube Graph and Kragujevac Tree", TWMS Journal of Applied and Engineering Mathematics (Accepted) [Indexed in Scopus].
4. N. Bora, B. Chutia and S. Bhattacharyya, "On multiparameter Spectral Theory of 3-parameter Aeroelastic Flutter Problems", IAENG International Journal of Applied Mathematics 53(4) 1341-1345, 2023. [indexed Scopus]
5. R. Moran, N. Bora,  S. Begum and B. Sharma. "On T and ST-coloring of Corona Product and Edge Corona Product of Graphs", International Journal of Applied Mathematics 36(3) 335-355, 2023. [indexed in Scopus]. DOI: http://dx.doi.org/10.12732/ijam.v36i3.3
6. R. Moran, N. Bora, and S. Bhattachatyya, "On T and ST-Coloring of Windmill graph" Mathematics and Statistics 11(2) 335-339, 2023. [indexed in Scopus] https://doi.org/10.13189/ms.2023.110212
7. N. Bora, B. Chutia, R. Moran and M. C. Bora, On nonlineatization of 3-parameter eigenvalue problems, Communications in Mathematics and Applications 13(3) 1-13, 2022. [indexed in Web of Science] DOI: https://doi.org/10.26713/cma.v13i3.1816
8. D. Das, S. Narzary and N. Bora, Some fixed point results in modular-like metric spaces and partial modular-like metric spaces with its non-archimedean version, Advances and Applications in Mathematical Sciences  21(10) 5997-6016, 2022. 
9. R. Moran, N. Bora, A. Pegu, and M. Chamua, Some results on T-coloring and ST-coloring of generalized butterfly graphs' Advances and Applications in Discrete Mathematics 31 1-12, 2022. [indexed in Web of Science]  http://dx.doi.org/10.17654/0974165822022
10. N. Bora, Bikash Chutia, Rubul Moran, and Aditya Pegu, A Note on Bifurcation Points of Two-parameter Matrix Eigenvalue Problems, Advanced Mathematical Models & Applications 7(1) 69-75, 2022. [indexed in Scopus]  http://jomardpublishing.com/UploadFiles/Files/journals/AMMAV1N1/V7N1/Bora_et_al.pdf
11. N. Bora, Applications of Multiparameter Eigenvalue Problems, Nepal Journal of Science and Technology 19(2) 75-82, 2021. [indexed in Web of Science]   https://doi.org/10.3126/njst.v20i1.39434
12. N. Bora, Computation of Generalized Antieigenvalue pair of Right Definite two-parameter eigenvalue problems, Journal of Scientific research 65(5) 208-211, 2021.
13. R. Moran, N. Bora, A. K. Baruah and A. Bharali, ST-coloring of some products of Graphs, Journal of Mathematical and Computational Science 11(1) 337-347, 2021. [indexed in Scopus] https://doi.org/10.28919/jmcs/5099
14. R. Moran, N. Bora, A. K. Baruah and A. Bharali, ST-Coloring of join and disjoint union of Graphs, Advances in Mathematics: Scientific Journal 9 (11) 9393-9399, 2020.  https://doi.org/10.37418/amsj.9.11.44
15. N. Bora, On numerical range and numerical radius of a special pair operator matrices, Advances in Mathematics: Scientific Journal 9(7) 4313-4319, 2020. [indexed in Scopus]
16. N. Bora, On generalized antieigenvalue pair and antieigenvectors of linear two-parameter matrix eigenvalue problems, International Journal of Applied Mathematics and Statistics 59 (3) 93-101, 2020. [indexed in Web of Science]
17.  N. Bora and A. K. Baruah, Iterative algorithm to find the solution of Multiparameter matrix eigenvalue problem, Global Journal of Pure and Applied Mathematics 13(9) 4959-4967, 2017.
18. N. Bora and A. K. Baruah, Numerical study of three-parameter matrix eigenvalue problem by Gradient Method, International Journal of Pure and Applied Mathematics 112 (1) 125-135, 2017. [indexed in Scopus]
19. N. Bora and A. K. Baruah, On convergence of Newton's Method for three-parameter matrix eigenvalue problem, Far East Journal of Applied mathematics 94(1) 63-76, 2016.
20. N. Bora and A. K. Baruah, A Numerical approach to solve three-parameter Matrix Eigenvalue problem by Kronecker Product Method, International Journal of Computer Applications 103(3) 56-61, 2014. 

Book Chapters:

1. An Overview on Quadratic Eigenvalue Problem and its Application, Research and Applications Towards Mathematics and Computer Science Vol. 6, Book Publisher International, U.K.  (Print ISBN: 978-81-967636-0-2, E ISBN: 978-81-967636-9-5).
2. Computation of partial derivative of matrix determinant arises in Multiparameter Eigenvalue Problems, Theory and Applications of Mathematical Science Vol-1, Book Publisher International, U.K. (Print ISBN:978-93-89562-12-5, E ISBN: 978-93-89562-13-2)
3. Linearization of Certain Special System of Cubic Matrix Polynomials, Mathstatika Vol.1, 2020, pp. 126-133, Department of Mathematical Sciences, Madhabed University, Assam.

Journal Editor:

      1. Guest Editor of the Indian Journal of Science and Technology, Special Issue 2 (Vol 16) [pISSN : 0974-6846, eISSN : 0974-5645], published by Indian Society for Education and Environment

Conferences/Seminar paper presented:

1. Presented a paper entitled "On Polynomial two Parameter Eigenvalue Problems" in 38^th Annual Conference of the Ramanujan Mathematical Society organized by IIT Guwahati during 22-24 December 2023.
2. Presented a paper entitled "An upper bound of Generalized antieigenvalue of Multiparameter eigenvalue problems" in the National Conference on Recent Advancements and Emerging Challenges in Science and Technology for Sustainable Development (RESTS-2020) organised by DUIET, Dibrugarh University.
3. Presented a paper entitled "Upper bounds of numerical range and numerical radius of operator matrices involved in two-parameter eigenvalue problems" in the International Conference on Mathematical Modelling in Applied Sciences (ICMMAS2020) organized by Department of Mathematics, Dibrugarh University, Assam, India during June 28-30, 2020.
4. Presented a paper entitled "On generalised antieigenvalue of right definite linear multiparameter matrix eigenvalue problems"  in National Conference on Emerging Trends in Advanced Mathematical Sciences & its Interdisciplinary Areas organised by Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam, 21-22 February, 2020.
5. Presented a paper entitled "Study of Spectrum of Multiparameter Spectral Problems" in International Conference on linear Algebra and its Applications organised by Department of Statistics, Manipal University, Manipal, Karnataka from 11-15, December, 2017.
6. Presented a paper entitled "Numerical study of three-parameter matrix eigenvalue problem by Rayleigh Quotient Method" in 2nd International Conference on Mathematical Science and Statistics (ICMSS2016) organised by Department of Mathematics, Faculty of Science, Universiti Putra Malaysia at Kuala Lumpur, Malaysia, 26-28 January, 2016.
7. Presented a paper entitled "A Numerical treatment to solve three-parameter eigenvalue problems" in RTMA-2013, Digboi College (Assam), October 7-8, 2013.
8. Presented a paper entitled "Numerical study of certain two-parameter spectral problem in matrix equations" in National Conference on Trends in Mathematical Research organised by Department of Mathematics, Assam University, Silchar, Sept. 5-6, 2014.

Workshop/Conference/Seminar organised:

1. Joint Convener of the First International Conference on Fourth Industrial Revolution and Higher Education oganised by DUIET in collaboration with AICTE, OIL Duliajan and BCPL, Dibrugarh during 23-25 February, 2023.
2. One-Week Short Term Course on "Linear Algebra and its Applications in Engineering Sciences (LAAES 2019)" from August 12-16, 2019 under TEQIP-III project.

Orientation/ Refresher course/ Workshop Attended:

1. 83rd Orientation Course, organised by UGC Academic Staff College, University of Hyderabad, Hyderabad from June 28-July 25, 2013.
2. Refresher Course in Mathematics organised by UGC Academic Staff Collage, University of North Bengal, from January 08-28, 2014.
3. Pedagogical Training for Mathematics Teachers-2014 (PTMT-2014) founded by National Board of Higher Mathematics, Dept. of Atomic Energy, GoI at the Dept. of Mathematics, Tripura University, Agartala (1 -4, Dec 2014 )
4. Short time training programme on "Research Methodology in Technical Education" organised by National Institute of Technical Teacher's Training and Research, Kolkata at D.U.I.E.T form 16-28 February, 2015.
5. TEQIP Short Term Course on “Scientific Computing and Industrial Problems” organised by Department of Mathematics, IIT Kharagpur from Nov 19-23, 2018.

Awards: 

1. Awarded Ghanakanta Borah  Memorial prize for securing highest marks in mathematics Major in Degree Examination by J.B. College, Jorhat, Assam.

Patent:

1.     Patent entitled "Solar based automated Hydroponic System for synchronous growth of vegetables using LoRa Module" Published in The Patent Office Journal No. 42/2022 Dated 21/10/2022.

 B.Tech Course:

1. Linear Algebra
2. Complex Analysis
3. Discrete Mathematics
4. Differential Equations

PhD Course work

     1. Course II: Scientific and Engineering Computations