Dr. SUMIT KUMAR SHARMA
Faculty Profile

Dr. SUMIT KUMAR SHARMA

ASSISTANT PROFESSOR

MATHEMATICS

Email
sksharma@kmc.du.ac.in
Mobile
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Office Phone
011-71219084
Residence Phone
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Website
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Address
DEPARTMENT OF MATHEMATICS, KIRORI MAL COLLEGE, UNIVERSITY OF DELHI

Educational Qualifications

Degree / CertificationInstitutionYear
M. Sc. (Mathematics)Kirori Mal College, University of Delhi2005
B.Sc. (Hons) MathematicsDyal Singh College, University of Delhi2002

Career Profile & Administrative Assignments

CategoryRole / DesignationDepartment / CommitteeDate From - ToRemarks
ADMINISTRATIVE ASSIGNMENTS CONVENER PROSPECTUS COMMITTEE KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS MEMBER COMMITTEE FOR COMMON COURSES KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS MEMBER COORDINATING COMMITTEE FOR INFORMATION AND TECHNOLOGY KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS MEMBER FAPS – THE FINE ARTS & PHOTOGRAPHY SOCIETY KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS MEMBER MUSOC – THE MUSIC SOCIETY KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS CONVENER OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - 13.Sep.2023 Convener at Helpdesk for Admissions
ADMINISTRATIVE ASSIGNMENTS CONVENER OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2022 - 31.May.2023 Convener at Helpdesk for Admissions
ADMINISTRATIVE ASSIGNMENTS ASSISTANT PROFESSOR OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - 30.Jun.2023 Deputy Superintendent Examination
ADMINISTRATIVE ASSIGNMENTS ASSISTANT PROFESSOR OTHERS KIRORI MAL COLLEGE, DELHI 01.Mar.2023 - 30.Apr.2023 Served as Deputy Superintendent Examination
ADMINISTRATIVE ASSIGNMENTS OTHERS KIRORI MAL COLLEGE KIRORI MAL COLLEGE, DELHI 01.Nov.2022 - 31.Dec.2022 Served as Deputy Superintendent Examination
ADMINISTRATIVE ASSIGNMENTS ASSISTANT PROFESSOR OTHERS KIRORI MAL COLLEGE, DELHI 01.Aug.2022 - 31.Jul.2022 Served as Joint Deputy Superintendent Examination
ADMINISTRATIVE ASSIGNMENTS CONVENER OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2022 - 31.May.2023 Served as Convener (Technical committee), NAAC Steering Criterion Committee
ADMINISTRATIVE ASSIGNMENTS MEMBER OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2022 - 31.May.2023 Served as Member (SSR) at NAAC Criterion 3 Committee
ADMINISTRATIVE ASSIGNMENTS CONVENER OTHERS KIRORI MAL COLLEGE, DELHI 01.Jun.2023 - Till date Served as Convener at Helpdesk for Admissions
ADMINISTRATIVE ASSIGNMENTS CONVENER PROSPECTUS COMMITTEE Kirori Mal College, University of Delhi 01.Jun.2023 - Till date
ADMINISTRATIVE ASSIGNMENTS CONVENER PROSPECTUS COMMITTEE Kirori Mal College 01.Jul.2024 - 30.Jun.2025
ADMINISTRATIVE ASSIGNMENTS MEMBER COORDINATING COMMITTEE FOR INFORMATION AND TECHNOLOGY Kirori Mal College 01.Jul.2024 - 30.Jun.2025
ADMINISTRATIVE ASSIGNMENTS MEMBER COMMITTEE FOR COMMON COURSES Kirori Mal College 01.Jul.2024 - 30.Jun.2025

Other Profiles

AREAS OF INTEREST/ SPECIALIZATION

Broad Area of Specialization: Functional Analysis

  • Frames in Quaternionic Hilbert Spaces
  • Frames in Hilbert Spaces and Banach Spaces
  • Gabor Frames.
  • Bases in Banach Spaces

AWARDS AND DISTINCTIONS

  • Secured overall first rank in Graduation in the College.
  • Qualified UGC-CSIR NET, December 2006.
  • Cleared GATE-2007 (Mathematics) with AIR-114.
  • Received scholarship in M.Sc. from National Board of Higher Mathematics (N.B.H.M.).

OTHERS

  • Reviewer for American Mathematical Society (AMS).
  • Reviewer for Zentralblatt Fur Mathematik, Germany (zbMath).
  • Referee for Filomat (Indexed in MathSciNet, zbMATH, SCIE(Impact Factor: 0.848), Scopus).
  • Referee for Bulletin for Iranian Mathematical Society (Indexed in MathSciNet, zbMATH, SCIE(Impact Factor: 0.644), Scopus).
  • Referee for Jordan Journal of Mathematics and Statistics (Indexed in MathSciNet, zbMATH, ESCI, Scopus).
  • Referee for Poincare Journal of Analysis and Applications (Indexed in MathSciNet, zbMATH, , Scopus).

MEMBERSHIPS IN ACADEMIC/ PROFESSIONAL BODIES

  • Member of American Mathematical Society.
  • Life time member of Society for History of Mathematics, India.
  • Life time member of Ramanujan Mathematical Society, India.

MOOCS/ SWAYAM-NPTEL/ OTHER ONLINE COURSES COMPLETED WITH CERTIFICATION

Successfully completed the following online non-credit courses authorized by Johns Hopkins University and offered through Coursera:
  1. The Data Scientist's Toolbox
  2. R Programming
  3. Getting and Cleaning data
  4. Exploratory Data Analysis
  5. Reproducible Research
  6. Statistical Inference

WORKSHOP/ SEMINAR/ CONFERENCE/ WEBINAR ORGANIZED

  • Chaired a session with Prof. Akram Aldroubi and Prof. Shiv K. Kaushik on “Frames, nonlinear approximations and Hilbert transform” in the 12th biennial International Conference on Sampling Theory and Applications (SampTA 2017), held at Tallinn, Estonia, July 3─7, 2017. (https://sampta2017.ee/sessions/)
  • Organized mini courses for PG/ Ph.D. Students on Bases and Frames in finite dimensional Spaces and Frames in Hilbert Spaces and their properties, in International Workshop on Wavelets, Frames and Applications held at Kirori Mal College, University of Delhi, Delhi, 14-20 December, 2017.
  • Member, Organizing Committee, International Workshop on Wavelets, Frames and Applications held at Kirori Mal College, University of Delhi, Delhi, 14-20 December, 2017. 
  • Member, Organizing Committee, International Workshop on Wavelets, Frames and Applications held at Kirori Mal College, University of Delhi, Delhi, 24-30 December, 2014.
  • Member, Organizing Committee, International Workshop on Wavelets, Frames and Applications held at Kirori Mal College, University of Delhi, Delhi, 14-20 December, 2011.

CONTRIBUTION TOWARDS DEVELOPMENT OF E-CONTENTS/ MOOCS

  • S.K. Sharma, Green’s Theorem, Stroke’s Theorem and Gauss's Theorem, Institute of Life Long Learning, University of Delhi, Delhi. (ISBN 978-93-86264-04-6).
  • S.K. Sharma and B. Semthanga, Line Integrals, Institute of Life Long Learning, University of Delhi, Delhi. (ISBN 978-93-86264-04-6).
  • S.K. Sharma , Group Action, Institute of Life Long Learning, University of Delhi, Delhi. (ISBN 987-93-86264-06-0).
  • S.K. Sharma , Normal Operators, Institute of Life Long Learning, University of Delhi, Delhi. (ISBN 987-93-86264-06-0).

Research Guidance

Research guidance details are not available yet.

Research Projects

Research project details are not available yet.

Publications

CategoryPublication NameTitleName of AuthorReference / DOI LinkPublication Month-Year
JOURNAL PAPER (National) Woven K-Frames in quaternionic Hilbert spaces Poincare Journal of Analysis & Applications Nitin Sharma, S.K.Sharma, Khole Timothy Poumai (Corresponding Author) 10.46753/pjaa.2022.v09i02.016 December 2022
JOURNAL PAPER (International) A Note on G-frame Sequences, International Jour. of Pure and Applied Mathematics Renu Chugh, S.K. Sharma and Shashank Goel (Corresponding Author) NA July 2011
JOURNAL PAPER (International) On Approximative Atomic Decompositions in Banach Spaces Jour. of Applied Functional Analysis S.K. Kaushik and S.K. Sharma (Joint Author) NA December 2011
JOURNAL PAPER (International) Atomic Decomposition Satisfying Certain Properties Jour. of Advanced Research in Pure Mathematics S.K. Kaushik and S.K. Sharma (Joint Author) NA July 2011
JOURNAL PAPER (International) On A Generalizations of Atomic Decompositions Albanian Journal of Mathematics S.K. Kaushik and S.K. Sharma (Joint Author) 10.51286/albjm/1300194339 March 2011
JOURNAL PAPER (International) On Schauder Frames in Conjugate Banach Spaces Journal of Mathematics S.K. Kaushik, S.K. Sharma and Khole Timothy Poumai (Joint Author) doi:10.1155/2013/318659 August 2013
JOURNAL PAPER (International) Some Results Concerning Frames Associate with Measurable Spaces TWMS Journal of Pure and Applied Mathematics S.K. Kaushik, L.K. Vashisht and S.K. Sharma (Joint Author) NA January 2013
JOURNAL PAPER (International) On Approximative Frames in Hilbert Spaces Palestine Journal of Mathematics S.K. Sharma, A. Zothansanga and S.K. Kaushik (First Author) NA March 2014
JOURNAL PAPER (International) On block transfinite sequences in Banach Spaces Poincare Journal of Analysis and Applications G. Singh and S.K. Sharma (Corresponding Author) 10.46753/pjaa.2014.v01i02.004 December 2014
JOURNAL PAPER (International) Block Sequences and g-frames International Journal of Wavelets, Multiresolution and Image Processing Renu Chugh, S.K. Sharma and Shashank Goel (Joint Author) NA May 2015
JOURNAL PAPER (International) Trace-class operators via OPV-frames Filomat Ruchi Bhardwaj, S.K.Sharma, S.K.Kaushik (Joint Author) NA May 2021
JOURNAL PAPER (International) Woven Frames in quaternionic Hilbert spaces Journal of Mathematics S.K.Sharma, Nitin Sharma, Khole Timothy Poumai (First Author) NA March 2021
JOURNAL PAPER (International) A Note on Retro Banach Frames International Jour. of Pure and Applied Mathematics Raj Kumar and Sumit K. Sharma (Joint Author) NA August 2008
JOURNAL PAPER (International) Frames in quaternionic Hilbert spaces Journal of Mathematical Physics Analysis Geometry S.K.Sharma and Shashank Goel (First Author) https://doi.org/10.15407/mag15.03.395 October 2019
JOURNAL PAPER (International) On frames in finite dimensional Quaternionic Hilbert spaces Palestine Journal of Mathematics S.K. Sharma, Virender, G. Singh and Soniya Sahu (First Author) NA January 2020
JOURNAL PAPER (International) Duals of a frames in Quaternionic Hilbert spaces Poincare Journal of Analysis & Applications S.K. Sharma, G. Singh and Soniya Sahu (First Author) NA December 2018
JOURNAL PAPER (International) On Unconditional Atomic Decompositions in Banach Spaces Journal of Applied functional analysis S.K. Kaushik and S.K. Sharma (Joint Author) NA January 2012
JOURNAL PAPER (International) A NOTE ON GENERALIZED FRAME POTENTIAL Jordan Journal of Mathematics and Statistics (JJMS) S. K. SHARMA AND VIRENDER (First Author) https://doi.org/10.47013/15.2.13 July 2022
JOURNAL PAPER (International) ON WEAVING PG-FRAMES Palestine Journal of Mathematics S.K. Sharma, Shashank Goel and S.K. Kaushik (First Author) NA July 2023
JOURNAL PAPER (National) Dual Frames on Finite Dimensional Quaternionic Hilbert Space Poincare Journal of Analysis and Applications S.K. Sharma and Virender (First Author) 10.46753/pjaa.2016.v03i02.004 December 2016
JOURNAL PAPER (National) On block transfinite sequences in Banach Spaces Poincare Journal of Analysis and Applications G. Singh and S.K. Sharma (Corresponding Author) 10.46753/pjaa.2014.v01i02.004 December 2014
JOURNAL PAPER (National) On Approximative Atomic Decompositions in Banach Spaces Comm. Math. Appl. S.K. Kaushik and S.K. Sharma (Joint Author) https://doi.org/10.26713/cma.v3i3.213 August 2012
JOURNAL PAPER (International) ON FUSION FRAMES IN QUATERNIONIC HILBERT SPACES Palestine Journal of Mathematics S.K. Sharma, Nitin Sharma and Khole Timothy Poumai (First Author) https://pjm.ppu.edu/sites/default/files/papers/PJM_12%284%29_2023_143_to_158.pdf December 2023
JOURNAL PAPER (International) DUALITY AND STABILITY OF OPERATOR VALUED FRAMES FOR QUATERNIONIC HILBERT SPACES Journal of Classical Analysis RUCHI BHARDWAJ AND S. K.SHARMA (Corresponding Author) doi:10.7153/jca-2024-24-07 October 2024
JOURNAL PAPER (International) Dynamical sampling in quaternionic Hilbert spaces São Paulo Journal of Mathematical Sciences Ruchi Bhardwaj, Raksha Sharma, S. K. Sharma (Joint Author) https://doi.org/10.1007/s40863-025-00496-1 May 2025
JOURNAL PAPER (International) A note on Riesz bases in the framework of quaternionic Hilbert space Poincare J. Anal. Appl. S. K. Sharma, Virender, S>K. Kaushik (First Author) DOI: 10.46753/pjaa.2024.v011i01.007 July 2024
CONFERENCE PAPER/ PROCEEDINGS (National) On Finitely Decomposable Frames Proceedings of Third National Conference on Mathematical techniques: Emerging Paradigms for Electronics and IT Industries Renu Chugh, S.K. Sharma and Shashank Goel (Corresponding Author) NA January 2010
CONFERENCE PAPER/ PROCEEDINGS (National) On Similar Atomic Decompositions Proceedings of Third National Conference on Mathematical techniques: Emerging Paradigms for Electronics and IT Industries S.K. Kaushik and S.K. Sharma (Corresponding Author) NA January 2010
CHAPTER (National) A Review of Mathematical part of Astrology/ भारतीय ज्ञान विज्ञान परम्परा मानिीय दृष्टि अलंकार पष्ललश ंग हाउस ( ाहदरा, नई ददल्ली, 2023) Sumit Kumar Sharma (Sole Author) NA December 2023
RESEARCH PAPERS (International) A note on Riesz bases in the framework of quaternionic Hilbert space Poincare J. Anal. Appl. S.K. Sharma, Virender, and S.K. Kaushik (First Author) 10.46753/pjaa.2024.v011i01.007 July 2024
RESEARCH PAPERS (International) Some results on woven frames in quaternionic Hilbert spaces Bull. Math. Anal. Appl. Nitin Sharma, B. Semthanga, Dolly Jain, S.K. Sharma (Joint Author) https://doi.org/10.54671/BMAA-2024-4-1 December 2024
RESEARCH PAPERS (International) Frames as operator orbits for quaternionic Hilbert spaces Jordan J. Math. Stat. Ruchi Bhardwaj, S. K. Sharma, S. K. Kaushik (Corresponding Author) DOI:https://doi.org/10.47013/17.3.5 October 2024

Books

CategoryBook NameName of AuthorTitleISSN / ISBN Number
BOOK (International) Mathematics: A Text book for Grade 10 for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-16-3
BOOK (International) Mathematics: A Text book for Grade 11 for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-26-2
BOOK (International) Mathematics: A Text book for Grade 12 Part I for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-36-1
BOOK (International) Mathematics: A Text book for Grade 12 Part II for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-55-2
BOOK (International) Mathematics: A Teacher guide for Grade 10 for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-17-0
BOOK (International) Mathematics: A Teacher guide for Grade 11 for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-27-9
BOOK (International) Mathematics: A Teacher guide for Grade 12 for Ministry of Education, Monrovia, Republic of Liberia Sumit Kumar Sharma and Gitanjali (First Author) International Star Educational Books Distributors (P) Ltd. India 978-93-95626-37-8
BOOK (National) An Introduction to Linear Algebra (for Beginners) S.K. Kaushik, S.K. Sharma, Virender, Varinder Kumar (Joint Author) Imprint Books 978-81-932671-0-3
BOOK (National) Business Research Methods Pushpender Kumar, Anupreet Kaur, and Sumit Kumar Sharma (Joint Author) Taxmann Publications Pvt. Ltd. 9789371267069

Faculty Achievements

YearCategory of AchievementRoleNational / InternationalNameDate From - To
2024 INVITED LECTURES/ RESOURCE PERSON/ PAPER PRESENTATIONS ATTENDED PAPER PRESENTER International XIV International Conference of the Georgian Mathematical Union, Batumi Shota Rustaveli State University in Batumi, Georgia 02.Sep.2024 - 07.Sep.2024
2024 WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED PAPER PRESENTER International International Conference: Recent Trends in Mathematics ICM-SQU2024, Sultan Qaboos University, Muscat, Oman 04.Mar.2024 - 06.Mar.2024
2024 FACULTY DEVELOPMENT PROGRAM ATTENDED PARTICIPANT National NEP 2020 Orientation & Sensitization Programme under Malaviya Mission Teacher Training Programme (MM-TTP) of University Grants Commission (UGC) 07.May.2024 - 16.May.2024
2023 INVITED LECTURES/ RESOURCE PERSON/ PAPER PRESENTATIONS ATTENDED PAPER PRESENTER International 10th International Congress of Fundamental and Applied Sciences, Fatih Sultan Vakif University, Istanbul, Turkey 04.Jun.2023 - 06.Jun.2023
2022 FACULTY INDUCTION PROGRAM ATTENDED PARTICIPANT College Faculty in Universities/Colleges/Institutes of Higher Education 20.Sep.2022 - 19.Oct.2022
2022 FACULTY DEVELOPMENT PROGRAM ATTENDED PARTICIPANT College Environmental Sciences and Public Health 01.Feb.2022 - 02.Feb.2022
2022 REFRESHER COURSE ATTENDED PARTICIPANT College “Managing Online Classes & Co- creating MOOCS 21.0” 07.Dec.2022 - 22.Dec.2022
2021 REFRESHER COURSE ATTENDED PARTICIPANT College Two - Week Refresher Course/Faculty Development Programme on “Managing Online Classes & Co- creating MOOCS 8.0” 04.Sep.2021 - 18.Sep.2021
2019 INVITED LECTURES/ RESOURCE PERSON/ PAPER PRESENTATIONS ATTENDED PARTICIPANT International 8th International Eurasian Conference on Mathematical Sciences and Applications, Bake State University, Baku, Azerbaijan 27.Aug.2019 - 30.Aug.2019
2017 WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED ORGANIZER International 12th biennial International Conference on Sampling Theory and Applications (SampTA 2017), held at Tallinn, Estonia, July 3─7, 2017. 03.Jul.2017 - 07.Jul.2017
2013 INVITED LECTURES/ RESOURCE PERSON/ PAPER PRESENTATIONS ATTENDED PAPER PRESENTER International International Conference on Approximation and Optimization held at PUAP, Puebla, Mexico, 13-18 October, 2013. 13.Oct.2013 - 18.Oct.2013