Mathematics

Head of Department

Dr. Adarsha Kumar Jena
Ph.D(NIT Rourkela)

E-mail:
hod.ma@nitm.ac.in

Faculty

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Dr. Saikat Mukherjee Associate Professor

Ph.D, University of Wyoming, USA

saikat.mukherjee@nitm.ac.in msaikat@gmail.com
9485177034
https://nitmeghalaya.irins.org/profile/101599

Research Interest

Operator Theory, Functional Analysis, Probability Distribution

Education Qualification

Ph.D, University of Wyoming, USA

Publications

International Journals:

  • Ajit Kumar Gupta, Saikat Mukherjee, Lebesgue Number and Total Boundedness, To appear in Khayyam Journal of Mathematics
  • 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 NameTitlePublisherISBN NoPagesYear
1S. MukherjeeComposition operators on Paley-Wiener type spaces: Role of composition operators on various signal spacesScholars' Press978-3639663068
2014

Courses Taught

Present Teaching (Autumn 2020)

  • M.Sc.: Functional Analysis, Real Analysis,
  • BTech: Differential Calculus and Linear Algebra


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.

Administrative Responsibility

  • Dean, Academic Affairs, NIT Meghalaya, from 01.09.2023-Till Date
  • 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

Work Experience

  • Associate Professor of Mathematics, National Institute of Technology Meghalaya Nov 2017 - till date
  • 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).

Projects

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 Supervised/Supervising

  • 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
  • M.Sc.
  • 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.
  • Suman Dowerah. Topic: Phase retrieval in Hilbert spaces. Year of Enrollment: 2019
  • Sripathi Harshavardhan Sarma. Topic: Functional Analysis. Year of Enrollment: 2023
  • M.Sc.
  • Jasmine Kellee Lyngdoh. Topic: Frames in Tensor Product Space, 2023-24

Confernce/Workshop/Seminar Attended

Conference:

 

Sl No.

Name

Period

Place

National|International

1

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

21-23 December, 2014

IIT Roorkee, India

International

2

AMS - MAA 2011 Joint Mathematics Meetings

6-9 January, 2011

New Orleans, LA, USA

International

3

Rocky Mountain Mathematics Consortium on "Conservation Laws and Applications"

June 22-July 2, 2010

University of Wyoming, WY, USA

International

4

The Sixth Conference on Function Spaces

18-22 May, 2010

Southern Illinois University at Edwardsville, IL, USA

International

5

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

2-6 June, 2009

University of Colorado at Boulder, CO, USA

International

6

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

8-19 June, 2009

University of Wyoming, WY, USA

International

7

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

 

Professional Membership

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

Awards

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

Invited Talks

Sl No.TitleEventInvited Talks/TutorialCo-Speakers
1Functional AnalysisAnnual Foundation School (AFS III), NEHU, June12, 2017-June 19, 2017Invited Talk
2Pi: Origin and SignificancePi Day 2017, organized by Dept. of Mathematics, St. Anthony College, Shillong, March 14, 2017Invited Talk
3Introduction to MathematicaWorkshop on Computational methods in statistics” organized by Dept. of Statistics, St. Anthony College, Shillong, December 1, 2016Invited Talk
4Unsolved Problems in MathematicsTalk in St. Mary College, Shillong, November 28, 2016Invited Talk