Dr. Pankaj Kumar Nath

Dr. Pankaj Kumar Nath

Assistant Professor

Ph.D. : Gauhati University

Research Interests:

Operator Theory and Special Functions.
Date of Joining : Jul 31, 2026

Phone: 8876532379
Email: pankajkr.nath@cottonuniversity.ac.in

Vidwan Profile

About

1. B.S (4 yr.) in Mathematical Sc. from Gauhati University Institute of Sc. & Tech.

2. M.S (2 yr.) in Mathematical Sc. from Gauhati University Institute of Sc. & Tech.

3. Ph.D from Dept. of Applied Sciences (Mathematics Division), Gauhati University.

Teaching

1. FYUGP (B.A/B.Sc.) 7th Sem, Multivariate Calculus (MTH23M701)

2. FYUGP (B.A/B.Sc.) 7th Sem, Optimization Technique (MTH23M705)

3. FYUGP (B.A/B.Sc.) 5th Sem, Differential Equations (MTH23M501)

4. FYUGP (B.A/B.Sc.) 3rd Sem, History of Mathematics (MTH23MDE301)

5. FYUGP (B.A/B.Sc.) 3rd Sem, Vector and Analytic Geometry (MTH23C301)

Experience

1. Assistant Professor in the Dept. of Mathematics, Cotton University since 31/07/2026.

2. Assistant Professor (Regular) in the Dept. of Mathematics, D. K. College, Mirza from 27/02/2024 to 31/07/2026.

3. Assistant Professor (Regular) in the Dept. of Mathematics, PDUAM, Dalgaon from 05/08/2017 to 26/02/2024.

4. Guest Faculty in the Dept. of Mathematics, Cotton College State University, from Feb. 2017 to June 2017.

5. Guest Faculty in the Dept. of Applied Sciences, Gauhati University, from Aug. 2016 to Dec. 2016.

Research paper publications till 2021

  1. P. K. Nath and S. Naik, Generalized Hilbert Type Operator on Hardy Space, Communications in Mathematics and Applications, Vol. 6, No. 1(2015), pp. 1-8, ISSN 0975-8607(online); 0976-5905(print).
  2. P. K. Nath and B. C. Tripathy, Statistical Convergence of Complex Uncertain Sequences, New Mathematics and Natural Computation, Vol. 13, No. 3(2017) 359-374.
  3. P. K. Nath and S. Naik, A NOTE ON TWO-PARAMETER FAMILY OF OPERATORS A^{b, c} ON WEIGHTED BERGMAN SPACES, Probl. Anal. Issues Anal., Vol. 8(26), No. 3(2019), pp. 125-136.
  4. P. K. Nath and B. C. Tripathy, Convergent complex uncertain sequences defined by Orlicz function, Annals of the University of Craiova, Mathematics and Computer Science Series, Vol. 46(1), 2019, pp. 139-149, ISSN: 1223-6934.
  5. P. K. Nath and B. C. Tripathy, Statistical Convergence of Complex Uncertain Sequences defined by Orlicz function, PROYECCIONES Journal of Mathematics, Vol. 39, No. 2(2020) 301-315, ISSN: 0717-6279(On line).
  6. P. K. Nath and S. Naik, Adjoint of generalized Ces`aro Operators on analytic function spaces, J. Appl. Anal., Vol. 26, Issue. 2(2020), pp. 185-192.
  7. P. K. Nath and B. C. Tripathy, ON PARANORMED TYPE p-ABSOLUTELY SUMMABLE UNCERTAIN SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS, Commun. Korean Math. Soc. 36 (2021), No. 1, pp. 121-134.
  8. P. K. Nath and S. Naik, Boundedness of  C^{b,c} Operators on Bloch Spaces, Korean J. Mathematics, 30(2022), No. 3, pp. 467-474, ISSN 2288-1433(online); 1976-8605(print).

Conference Proceedings till 2021

i. P. K. Nath and S. Naik, A Generalized Hilbert Operator on Bloch Space and BMOA Spaces, Proceedings of the Sixth International Conference on Mathematics and Computing, Springer.

Chapters/Articles publications in Books (Research Oriented)

  1. P. K. Nath, Compactness and EssentialNormof C^{b,c} Operators onBloch-typeSpace, Quantum Calculus and Functional Analysis with Applications, CRC Press.

Awards

CSIR-UGC NET, SLET, DST INSPIRE FELLOW For Research

Paper Presentation

1. Presented a paper entitled "Boundedness and Compactness of C^{b,c} operators on Bloch-type space" in the National Conference on Advances in Mathematical Sciences (NCAMS-2022).
Institute : Gauhati University
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2022-12-22 to 2022-12-22

2. Presented a paper entitled "A Generalized Hilbert Operators on Bloch space and BMOA spaces" in the 6th  International Conference on Mathematics and Computing, 2020 (ICMC-2020).
Institute : Sikkim University
Place : Gangtok, Sikkim, India
Type of Conference : International
Date of Conference : 2020-09-23 to 2020-09-23

3. Presented a paper entitled "Adjoint of  generalized Cesaro Operators on Weighted Bergman spaces" in the National Seminar on Advances in Mathematical Sciences, 2018.
Institute : Gauhati University
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2018-12-22 to 2018-12-22

4. Presented a paper entitled "Generalized Libera Transform Defined by Convolution on Certain Function spaces" in the Two Days  International Seminar on 'Recent Advances in Mathematical Sciences and their Applications' (RAMSA-2018).
Institute : Surya Sen Mahavidyalaya
Place : Siliguri, India
Type of Conference : International
Date of Conference : 2018-08-30 to 2018-08-30

5. Presented a paper entitled "Sequence Spaces of Complex Uncertain Sequences Defined by Orlicz Function" in the National Seminar on Science and Technology for Human Welfare, 2017.
Institute : Institute of Advanced Study in Science and Technology (IASST)
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2017-02-27 to 2017-02-27

6. Presented a paper entitled "Convergence Concepts of Complex Uncertain Variables in Terms of Statistical Convergence" in the  International Seminar on Topology, Analysis and Algebra (ISTAA-2017).
Institute : University of North Bengal
Place : West Bengal, India
Type of Conference : International
Date of Conference : 2017-02-11 to 2017-02-11

7. Presented a paper entitled "Complex Uncertain Sequences Defined by Orlicz Function" in the National Conference on Mathematics and Its Applications (NCMA-2016).
Institute : Cotton College State University
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2016-10-21 to 2016-10-21

Participation in the Training/ Workshop

1. Paticipated in a NEQIP FUNDED WORKSHOP ON 'INTERDISCIPLINARY MATHEMATICS AND ITS APPLICATIONS IN APPLIED SCIENCES', 2015.
Institute : Gauhati University
Place : Guwahati, Assam, India
Type of Conference : National
Date of Conference : 2015-03-24 to 2015-03-24

2. Participated in a NBHM Sponsored Workshop on Algebra and Analysis, 2015.
Institute : Tezpur University
Place : Tezpur, Assam, India
Type of Conference : National
Date of Conference : 2015-02-17 to 2015-02-17

3. Participated in a Summer Internship Programme-2015.
Institute : IIT
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2015-05-15 to 2015-05-15

4. Participated in 'Training programme for under graduate students in Mathematics', 2013.
Institute : Tripura University
Place : Agartala, Tripura, India
Type of Conference : National
Date of Conference : 2013-07-05 to 2013-07-05

5. Participated in a Mathematics Training and Talent Search Programme (MTTS) (Level-0), 2012.
Institute : IIT
Place : Guwahti, Assam, India
Type of Conference : National
Date of Conference : 2012-05-14 to 2012-05-14

6. Participated in 'Winter School on Galois Theory', 2012.
Institute : Tezpur University
Place : Tezpur, Assam, India
Type of Conference : National
Date of Conference : 2012-12-12 to 2012-12-12

7. Participated in 'Pedagogical Training for Mathematics Teachers' (PTMT), 2019.
Institute : Tezpur University
Place : Tezpur, Assam, India
Type of Conference : National
Date of Conference : 2019-12-25 to 2019-12-25

8. Participated in the  in the Workshop on 'Micro-Teaching: An Efficient Technique for Effective Teaching', 2018.
Institute : PDUAM
Place : Dalgaon, Darrang, Assam, India
Type of Conference : National
Date of Conference : 2018-08-17 to 2018-08-17

9. Participated in 'Weeklong Online Workshop on Assessment and Evaluation', 2020.
Institute : Tezpur University
Place : Tezpur, Assam, India
Type of Conference : National
Date of Conference : 2020-08-24 to 2020-08-24

10. Participated in a '5-Day National Workshop on Applied Mathematics and Computing', 2023.
Institute : Madhav Institute of Technology & Science
Place : Gwalior, India
Type of Conference : National
Date of Conference : 2023-06-12 to 2023-06-12

11. Participated in a One Day State Lavel Workshop on  'NAAC Assessment and Accreditation', 2021.
Institute : PDUAM
Place : Dalgaon, Darrang, Assam, India
Type of Conference : National
Date of Conference : 2021-11-02 to 2021-11-02

12. Participated in One Week  National Workshop on 'Introduction to Computational Biology', 2022.
Institute : PDUAM
Place : Dalgaon, Darrang, Assam, India
Type of Conference : National
Date of Conference : 2022-11-09 to 2022-11-09