(University of Delhi)
University of Delhi, Delhi-110007
(Phone No. - 011-7121 9084 : Email - principal@kmc.du.ac.in)
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Kirori Mal College (University of Delhi) University of Delhi, Delhi-110007 (Phone No. - 011-7121 9084 : Email - principal@kmc.du.ac.in) |
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| Print Date : 03-02-2025 | ||||||||
| 1. Personal Profile | ||||||
| Title: Prof. First Name: RAJ Last Name: KUMAR |
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| Designation: PROFESSOR Mobile No. ---------- | ||||||
| Phone No. (Office) 011-71219084 Phone No. (Residence): ---------- | ||||||
| Email: rajkumar@kmc.du.ac.in Webpage: ---------- | ||||||
| Facebook: ---------- Twitter: ---------- | ||||||
| LinkedIn: ---------- Instagram: ---------- | ||||||
| Youtube: ---------- Research Gate Link: ---------- | ||||||
| Google Scholar Link: ---------- | ||||||
| Address: ---------- | ||||||
| 2. Educational Qualifications | ||
| Degree/ Certification | Institution | Year |
| PhD | University of Delhi | 2011 |
| M.Sc. Mathematics | IIT Delhi | 1990 |
| M.Sc. Mathematics | IIT Delhi | 1990 |
| PhD | University of Delhi | 2011 |
| 3. Career Profile & Administrative Assignments | ||||
| Category | Role/ Designation | Department/ Committee | Date From - To | Remarks |
|---|---|---|---|---|
| CAREER PROFILE | ASSISTANT PROFESSOR | MATHEMATICS KIRORI MAL COLLEGE, DELHI | 02.Jul.2001 - 01.Jul.2015 | |
| CAREER PROFILE | ASSOCIATE PROFESSOR | MATHEMATICS KIRORI MAL COLLEGE, DELHI | 02.Jul.2015 - 17.Jul.2018 | |
| CAREER PROFILE | PROFESSOR | MATHEMATICS KIRORI MAL COLLEGE, DELHI | 18.Jul.2018 - Till date | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | SENSATION – THE DANCE SOCIETY Kirori Mal College | 01.Jul.2023 - 30.Jun.2024 | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | HOSTEL ADMISSION COMMITTEE Kirori mal College | 01.Jul.2023 - 30.Jun.2024 | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | B.SC.(P) PHYSICAL SCIENCE COMMITTEE Kirori Mal College | 01.Jul.2023 - 30.Jun.2024 | |
| 4. Other Profiles |
| Other Profile Name/ Description |
|---|
| SYLLABUS FORMATION Member of committees to prepare the syllabus of four-year B.Sc./ B.A. program under NEP: 1. B.Sc. (Hons.) Mathematics, Semester- V DSE-3(iii): Mathematical Statistics. 2. Discipline A-4 (3-Core and 2-core Disciplines): Abstract Algebra. 3. Elements of Analysis for GE Course, GE-4(i): & DSC A-5, Sem-V (BA/B.Sc. Prog). |
| AREAS OF INTEREST/ SPECIALIZATION Analysis and Mathematical Physics |
| 5. Research Guidance | ||||
| Year | Guide For | Title of the Dissertation/ Thesis | Scholar Name | Status |
|---|---|---|---|---|
| 2015 | Ph. D. | On generalizations of frames in Banach spaces | Ram Bharat Singh | Awarded |
| 2018 | Ph. D. | Wave Packet Frames in L^2(R^d ) | Ashok Kumar Sah | Awarded |
| 2020 | Ph. D. | WAVELETS AND MULTIWAVELETS IN SOBOLEV SPACES | Manish Chauhan | Awarded |
| 2024 | Ph. D. | Frame Multiresolution Analysis (FMRA) on Locally Compact Abelian Groups | Satyapriya | Awarded |
| 6. Research Projects | |||||
| Year | Title of Project | Sponsorship Agency | Duration | Amount Sanctioned | Date of Sanction |
|---|---|---|---|---|---|
| 2011 | Generalization of Frames and related Concepts in Banach spaces | UGC | April 2010 to October 2011 | 145000 | 25.Mar.2010 |
| 2015 | Determining the Quality of Management Education in Northern India | University of Delhi | 2014 - 15 | 3,00,000/- | 01.Dec.2014 |
| 7. Publications | |||||
| Category | Publication Name | Title | Name of Author | Reference Link/ DOI Link |
Publication (Month-Year) |
|---|---|---|---|---|---|
| JOURNAL PAPER (International) |
Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach | Physica Scripta | Sachin Kumar, Brij Mohan, Raj Kumar (Joint Author) |
DOI 10.1088/1402-4896/ace862 | July 2023 |
| JOURNAL PAPER (International) |
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics | Nonlinear Dynamics | Sachin Kumar, Brij Mohan, Raj Kumar (Joint Author) |
doi.org/10.1007/s11071-022-07647-5 | July 2022 |
| JOURNAL PAPER (International) |
Riesz Multiresolution Analysis on Locally Compact Abelian Groups: Construction and Exceptions | Journal of Contemporary Mathematical Analysis | Satyapriya1, Raj Kumar, F. A. Shah (Joint Author) |
https://doi.org/10.3103/S1068362323020085 | May 2023 |
| JOURNAL PAPER (International) |
Explicit construction of wavelet frames on locally compact Abelian groups | Analysis and Mathematical Physics | Raj Kumar, Satyapriya, F. A. Shah (First Author) |
https://doi.org/10.1007/s13324-022-00690-w | May 2022 |
| JOURNAL PAPER (International) |
CONSTRUCTION OF A RIESZ WAVELET BASIS ON LOCALLY COMPACT ABELIAN GROUPS | Jordan Journal of Mathematics and Statistics | Satyapriya and Raj kumar (Joint Author) |
DOI: https://doi.org/10.47013/15.2.7 | June 2022 |
| JOURNAL PAPER (International) |
Riesz MRA of Dydic Dilations and the Corresponding Riesz Wavelet on LCA Groups | TWMS Journal of Applied and Engineering Mathematics | Raj Kumar, Satyapriya, Mansimran Singh (First Author) |
https://jaem.isikun.edu.tr/web/index.php/archive/975-jaem-vol-13-no-1-2023 | March 2023 |
| JOURNAL PAPER (International) |
Construction of a Frame Multiresolution Analysis on Locally Compact Abelian Groups | Aust. J. Math. Anal. Appl. | Raj Kumar and Satyapriya (First Author) |
https://ajmaa.org/Volumes/Volume_18_Issue_1_2021.php | February 2021 |
| JOURNAL PAPER (International) |
Nonstationary Multiwavelets and Multiwavelet Packets in Sobolev Space | International Journal of Applied and Computational Mathematics | Raj Kumar and Manish Chauhan (First Author) |
https://doi.org/10.1007/s40819-020-00889-0 | September 2020 |
| JOURNAL PAPER (International) |
8. Multivariate box spline wavelets in higher-dimensional Sobolev spaces | Journal of Inequalities and Applications | Raj Kumar and Manish Chauhan (First Author) |
https://doi.org/10.1186/s13660-018-1839-z | September 2018 |
| JOURNAL PAPER (International) |
Perturbation of irregular Weyl-Heisenberg wave packet frames in L2(R) | Osaka Journal of Mathematics | Raj Kumar and Ashok K. SAH (First Author) |
https://doi.org/10.18910/67014 | October 2017 |
| JOURNAL PAPER (International) |
Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations | Journal of Ocean Engineering and Science | Setu Rani, Sachin Kumar, Raj Kumar (Joint Author) |
https://doi.org/10.1016/j.joes.2021.12.007 | December 2021 |
| JOURNAL PAPER (International) |
Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves | Nonlinear Dynamics | Brij Mohan, Sachin Kumar and Raj Kumar (Joint Author) |
doi.org/10.1007/s11071-023-08938-1 | September 2023 |
| JOURNAL PAPER (International) |
Novel closed-form analytical solutions and modulation instability spectrum induced by the Salerno equation describing nonlinear discrete electrical lattice via symbolic computation Mathematics and Computers in Simulation | Mathematics and Computers in Simulation | Setu Rani ,Sachin Kumar, Raj Kumar (Joint Author) |
https://doi.org/10.1016/j.matcom.2023.12.031 | December 2023 |
| 8. Books | ||||
| Category | Book Name | Title | Name of Author | ISSN/ ISBN Number |
|---|---|---|---|---|
| BOOK (National) |
Calculus and Geometry | Dinesh Khattar, Raj Kumar, Pratima Negi (Joint Author) |
Jeevansons Publications | 978-93-86376-07-7 |
| BOOK (National) |
Algebra | Raj Kumar (Sole Author) |
Mayur Paperbacks | 978-81-7198-167-4 |
| 9. Faculty Achievements | |||||
| Year | Category of Achievement | Role | National/ International etc. | Name | Date From-To |
|---|---|---|---|---|---|
| 2023 | WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED | PROFESSOR | College | Workshop for Educators on Vedic Mathematics | 11.Apr.2023 - 13.Apr.2023 |
| 2024 | FACULTY DEVELOPMENT PROGRAM ATTENDED | MEMBER | University | NEP 2020 Orientation & Sensitization Programme | 07.May.2024 - 16.May.2024 |
| 2024 | WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED | PARTICIPANT | College | collecting stories under digital district repository project of azadi ka amrit mahotsav | 06.May.2024 - 07.May.2024 |
| Prof. RAJ KUMAR |