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Departments Mathematics Faculty

Saikat Mukherjee

Saikat Mukherjee

Professor
saikat.mukherjee@nitm.ac.in   
9485177034
Qualification : Ph.D, University of Wyoming, USA
Area of Research : Operator Theory, Functional Analysis, Probability Distribution

International Journals:

  • Ajit Kumar Gupta, Saikat Mukherjee, Generalizations of chainability and compactness, and the hypertopologies, Topology and its Applications, Volume 377, 1 January 2026, 109635. https://authors.elsevier.com/c/1lxdz_3oqRi8tH. DOI: https://doi.org/10.1016/j.topol.2025.109635
  • Ajit Kumar Gupta, Saikat Mukherjee, Lebesgue Number and Total Boundedness, Proceedings of the International Geometry Center, 17(2), 190-201, 2024
  • Suman Dowerah, Saikat Mukherjee, Norm retrieval by vectors and projections, Journal of Computational Analysis & Applications, 31(2), 236-243, 2023
  • Ajit Kumar Gupta, Saikat Mukherjee, On nonempty intersection properties in metric spaces, Journal of Computational Analysis & Applications, 31(1), 117-126, 2023
  • Suman Dowerah, Saikat Mukherjee, Phase retrieval and norm retrieval in tensor product space, J. Pseudo-Differ. Oper. Appl. 14, 1 (2023). https://doi.org/10.1007/s11868-022-00497-0 (https://rdcu.be/cZl2A)
  • Ajit Kumar Gupta, Saikat Mukherjee, Induced homeomorphism and Atsuji hyperspaces, Russ Math. 66(10), 8–15, 2022 https://doi.org/10.3103/S1066369X22100061 (https://rdcu.be/c52iU)
  • Suman Dowerah, Saikat Mukherjee, Weaving phase retrieval and weaving norm retrieval, Int. J. Appl. Comput. Math 8:198 (2022). https://doi.org/10.1007/s40819-022-01419-w (https://rdcu.be/cSsIl)
  • A. Bhandari, S. Mukherjee, On Wovenness of K-Fusion Frames, Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384, 93-101, 2022, Springer, Cham. doi: 10.1007/978-3-030-96401-6_8
  • Prabir Das Adhikary, Saikat Mukherjee, Bapan Ghosh, Bifurcations and hydra effects in Bazykin’s predator–prey model, Theoretical Population Biology 140(10), 44-53, 2021 https://doi.org/10.1016/j.tpb.2021.05.002
  • A. Bhandari, S. Mukherjee, Perturbations on K-fusion frames, Journal of Applied Analysis, Vol. 27(2), 2021, 175-185. doi: 10.1515/jaa-2021-2044
  • A. Bhandari, S. Mukherjee, Atomic Subspaces for Operators , Ind. J. of Pure and Applied Mathematics, Vol. 51(3), 1039–1052, 2020. doi: 10.1007/s13226-020-0448-y .
  • A. Bhandari, S. Mukherjee, Characterizations of Woven Frames, Int. J. of Wavelets, Multiresolution and Information Processing, Vol. 18(5), 2050033 (2020). doi: 10.1142/S0219691320500332
  • A. Bhandari, D. Borah, S. Mukherjee, Characterizations of weaving K-frames, Proc. Japan Acad. Ser. A Math. Sci., Vol. 96(5), 39-43, 2020. doi: 10.3792/pjaa.96.008
  • S. Mukherjee, Y. Lee, J.-M. Kim, J. Jang and J. S. Park, Construction of Bivariate Asymmetric Copulas, Communications for Statistical Applications and Methods, Vol. 25(2), 217-234, 2018. doi: 10.29220/CSAM.2018.25.2.217.
  • S. Dey, E. Raheem, S. Mukherjee, Statistical Properties and Different Methods of Estimation of Transmuted Rayleigh Distribution, Revista Colombiana de Estadística, Vol. 40(1), 165-203, 2017. doi: 10.15446/rce.v40n1.56153
  • S. Dey, E. Raheem, S. Mukherjee, H. K. T. Ng, Two Parameter Exponentiated Gumbel Distribution: properties and estimation with flood data example, Journal of Statistics & Management Systems, Vol. 20(2), 197-233, 2017. doi: 10.1080/09720510.2016.1228261
  • S. Mukherjee, F. Jafari and J.-M. Kim, Optimization of Spearman's Rho, Revista Colombiana de Estadística, Vol. 38(1), 209-218, 2015. doi: 10.15446/rce.v38n1.48811
  • S. Mukherjee, F. Jafari and J. E. McInroy, On the Range of Composition Operators on Spaces of Entire Functions, Contemporary Mathematics, Amer. Math. Soc., Vol. 547, 185-195, 2011.
  • P. V. S. N. Murthy, S. Mukherjee, D. Srinivasacharya and P. V. S. S. S. R. Krishna, Mixed Convection Heat and Mass Transfer in a Doubly Stratified non-Darcy Porous Medium, International Journal of Applied Mechanics and Engineering, Vol. 12(1), 109-123, 2007.
  • P. V. S. N. Murthy, S. Mukherjee, D. Srinivasacharya and P. V. S. S. S. R. Krishna, Combined Radiation and Mixed Convection from a Vertical Wall with Suction / Injection in a non-Darcy Porous Medium, Acta Mechanica, Vol. 168, 145-156, 2004.

Books:

Sl No. Author Name Title Publisher ISBN No Pages Year
1 S. Mukherjee Composition operators on Paley-Wiener type spaces: Role of composition operators on various signal spaces Scholars' Press 978-3639663068   2014

Present Teaching (Autumn 2025)

  • M.Sc.: Functional Analysis,
  • MTech and PhD: Advanced Engineering Mathematics,

Previous/Other Semester

  • PG Courses: Functional Analysis, Measure Theory and Integration, Real Analysis, Numerical Analysis, PDE-II, Complex Analysis, Advanced Engineering Mathematics, etc.
  • UG Courses: MA 101, MA 102, MA 210, Scientific Computing, Mathematics Laboratory.

  • Dean, Faculty Welfare, NIT Meghalaya, from 01.08.2024-Till date
  • Dean, Academic Affairs, NIT Meghalaya, from 01.09.2023-04.03.2024
  • Chairman, Exam Committee, NIT Meghalaya, from 01.07.2022-01.09.2023
  • Chairman, Medical and Covid Response Committee, NIT Meghalaya, from 01.07.2021-30.06.2022
  • Chief Warden, NIT Meghalaya, from 01.07.2018-30.06.2021
  • Assoc. Dean, Student Welfare, NIT Meghalaya, from 23.10.2015-30.06.2018
  • Head of Department, Mathematics, NIT Meghalaya, from 16.08.2013-16.08.2015

  • Professor of Mathematics, National Institute of Technology Meghalaya Aug 2024 - till date
  • Associate Professor of Mathematics, National Institute of Technology Meghalaya Nov 2017 - Aug 2024
  • Assistant Professor of Mathematics, National Institute of Technology Meghalaya July 2013-Nov 2017
  • Assistant Professor, Division of Science and Math, University of Minnesota-Morris, USA, August 2011-June 2013.
  • Five years teaching experience as a graduate student at Department of Mathematics, University of Wyoming, USA, 2006-11.
  • Junior Project Assistant, Dept. of Ocean Eng. & Naval Architecture, IIT Kharagpur, Project Title: A study on the interaction of surface waves with floating and submerged flexible structures, sponsored by NRB, New Delhi, India (July 2004-Dec 2005).
  • Junior Project Assistant, Dept. of Ocean Eng. & Naval Architecture, IIT Kharagpur, Project Title: Numerical Investigation of Darcy - Forcheimer Flow Model, sponsored by DST, New Delhi, India (May 2003-Dec 2003).

Sl No.

Title of Project

PI

CO-PI

Funding Agency

Sanctioned Amount

StartYr - EndYr (Duration)

Status

Project Type

1

Study and Analysis of Frames in Function Spaces

Saikat Mukherjee

NA

NIT Meghalaya

25000

2015-2017

Completed

Startup

2

K-Fusion Frames-Applications to Sensor Network and Coding Theory

Saikat Mukherjee

NA

DST-SERB

600000

2018-2021

Completed

Sponsored

Students Guided

  • Ph.D.
  • Animesh Bhandari. Thesis Title: Generalizations of Frames and Their Wovenness, 2020. 
  • Ajit Kumar Gupta. Thesis Title: Hypertopologies and the Relations among Them, 2023
  • Suman Dowerah. Thesis Title: Phase Retrieval and Norm Retrieval in Hilbert Spaces, 2024

M.Sc.

  • Souvik Bhattacharjee. Topic: K-frames and K-dual Frames in Krein Spaces, 2024-25
  • Jasmine Kellee Lyngdoh. Topic: Frames in Tensor Product Space, 2023-24
  • Abhay Dhiman. Title: Loss Function Optimization, 2022-23
  • Ritu Bhuyan. Title: Frames in Hilbert Spaces and their Wovenness, 2022-23
  • Prince Kumar. Title: Optimal Frame Completion, 2021-22
  • Darshit Goyani. Title: Pseudo Differential Operators, 2020-21
  • Ibalahun Nongkynrih. Title: Stochastic Differential Equations, 2019-20
  • Nilakhi Doley. Title: Special functions, 2019-20
  • Debajit Borah. Title: K-woven Frames in Separable Hilbert Spaces, 2018-19
  • Niraj Rajbhar. Title: Functions of Exponential Type, 2018-19
  • Kitborlang Kharthangmaw. Title: Theory of Sobolev Space with Applications to Second Order Elliptic PDE, 2017-18

 

UG

  • Manjari Govada. B.Tech, European options pricing and Black-Scholes equations, 2011-2012
  • Andrew Lexvold. B.Tech, Applications of Green’s Functions in Boundary Value Problems, 2012-2013
  • Nic Johnson. B.Tech, Modeling the Macroeconomy, 2012-13

Ongoing

  • Ph.D.
  • Sripathi Harshavardhan Sarma. Topic: Functional Analysis. Year of Enrollment: 2023
  • Wanlangkupar Syiemiong. Topic: Frames in Super Hilbert Space: Year of Enrollment: 2024
  • Mehjebin Wahid. Topic: Frames in Krein Space: Year of Enrollment: 2024

M.Sc.

Conference:

 Sl No.

Name

Period

Place

National|International

1

26th Conference of the International Linear Algebra Society (ILAS2025)

23-27 June, 2025

Kaohsiung, Taiwan

International

2

21st International Conference on Linear Algebra and Applications

21-22 January, 2019

London, UK

International

3

International Conference on Recent Trends in Mathematical Analysis and Its Application (ICRTMAA)

21-23 December, 2014

IIT Roorkee, India

International

4

AMS - MAA 2011 Joint Mathematics Meetings

6-9 January, 2011

New Orleans, LA, USA

International

5

Rocky Mountain Mathematics Consortium on "Conservation Laws and Applications"

June 22-July 2, 2010

University of Wyoming, WY, USA

International

6

The Sixth Conference on Function Spaces

18-22 May, 2010

Southern Illinois University at Edwardsville, IL, USA

International

7

The 29th Annual Great Plains Operator Theory Symposium (GPOTS 2009)

2-6 June, 2009

University of Colorado at Boulder, CO, USA

International

8

Rocky Mountain Mathematics Consortium on "Recent Developments in Dynamic Equations on Time Scales"

8-19 June, 2009

University of Wyoming, WY, USA

International

9

International Conference on Mathematical Fluid Dynamics

2-7 December, 2004

University of Hyderabad, Hyderabad, India

International

Workshop:

Sl No.

Name

Period

Place

National|International

1

Workshop on Mathematical Modelling and its Applications

19-20 August, 2016

NIT Meghalaya

National

2

Accreditation and Transformation of Technical Education

22-23 January, 2016

NIT Meghalaya

National

3

Summer Graduate Workshop on

June 20-July 1, 2011

MSRI Berkeley, CA, USA

International

Sl No.

Name

Member ID

Category

Validity

1

American Mathematical Society (AMS)

MJSKXA

Member

December 31, 2017

2

Society for Industrial and Applied Mathematics (SIAM)

001005167

Member

December 31, 2017

3

Indian Mathematical Society (IMS)

L/2015/23

Life Member

Lifetime

4

Indian Science Congress Association (ISCA)

L37014

Life Member

Lifetime

Sl No.

Award Details

Year

1

Graduate Teaching Assistantship (2006-11), Graduate School, University of Wyoming, USA

2006

2

Dunnewald Scholarship, given by the International Students and Scholars Office, University of Wyoming.

2007

3

Ellbogen Outstanding Graduate Student Teaching Award, the highest award made by the University of Wyoming to outstanding graduate student teachers.

2008

4

Gail Sehgal and Catherine Gibbs Shaw Outstanding Graduate Stu- dent in Research Award, given by the Department of Mathematics, University of Wyoming.

2010

5

Best Teacher Award given by NIT Meghalaya

2018

Sl No. Title Event Invited Talks/Tutorial Co-Speakers
1 Functional Analysis Annual Foundation School (AFS III), NEHU, June12, 2017-June 19, 2017 Invited Talk  
2 Pi: Origin and Significance Pi Day 2017, organized by Dept. of Mathematics, St. Anthony College, Shillong, March 14, 2017 Invited Talk  
3 Introduction to Mathematica Workshop on Computational methods in statistics” organized by Dept. of Statistics, St. Anthony College, Shillong, December 1, 2016 Invited Talk  
4 Unsolved Problems in Mathematics Talk in St. Mary College, Shillong, November 28, 2016 Invited Talk