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 |
Faculty Profile
Prof. RAJ KUMAR
PROFESSOR
MATHEMATICS
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 | |
| ADMINISTRATIVE ASSIGNMENTS | CONVENER | B.SC.(P) PHYSICAL SCIENCE COMMITTEE Kirori Mal College | 30.Jul.2025 - Till date | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | PRAYAS – THE ENABLING UNIT Kirori Mal College | 30.Jul.2025 - 30.Jun.2026 | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | SENSATION – THE DANCE SOCIETY Kirori Mal College | 30.Jul.2025 - 30.Jun.2026 | |
| ADMINISTRATIVE ASSIGNMENTS | MEMBER | MUSOC – THE MUSIC SOCIETY Kirori Mal College | 30.Jul.2025 - 30.Jun.2026 |
Other Profiles
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
MEMBERSHIPS IN ACADEMIC/ PROFESSIONAL BODIES
Faculty of Mathematical Sciences, University of Delhi
Research Guidance
| Year | Guide For | Title of 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 |
| 2025 | Ph. D. | Symmetry Reductions and Analytical Solutions of Certain Non-Linear Evolution Equations | Ms. Setu Rani | Awarded |
| 2025 | Ph. D. | ---- | Mr.Kartik Garg | Pursuing |
| 2025 | Ph. D. | Generalization of Equations, Solutions, and Techniques for KdV-type Evolution Equations | Mr. Brij Mohan | Awarded |
| 2025 | Ph. D. | ---- | Mr. Vijay Kumar | Pursuing |
| 2026 | Ph. D. | A Study on Wavelets and Wavelet Frames over Certain Hilbert Spaces | Vishal Dhawan | Submitted |
| 2026 | Ph. D. | NONUNIFORM WAVELETS IN SOBOLEV SPACES | Reena Bhagwat | Submitted |
Research Projects
| Year | Project Title | Sponsoring 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 |
Publications
| Category | Publication Name | Title | Name of Author | Reference / 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) | 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) | 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) | 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 |
| JOURNAL PAPER (International) | On investigation of kink-solitons and rogue waves to a new integrable (3+1)-dimensional KdV-type generalized equation in nonlinear sciences. | Nonlinear Dynamics | Brij Mohan, Sachin Kumar, Raj Kumar (Joint Author) | https://doi.org/10.1007/s11071-024-10792-8 | December 2024 |
| JOURNAL PAPER (International) | Dynamical Study of Newly Created Analytical Solutions, Bifurcation Analysis, and Chaotic Nature of the Complex Kraenkel–Manna–Merle System. | Qualitative Theory of Dynamical Systems | Setu Rani. Sachin Kumar, Raj Kumar (Joint Author) | https://doi.org/10.1007/s12346-024-01148-z | October 2024 |
| JOURNAL PAPER (International) | DYADIC RIESZ WAVELETS ON LOCAL FIELDS OF POSITIVE CHARACTERISTICS | Aust. J. Math. Anal. Appl. | KARTIK GARG, RAJ KUMAR, AND SATYAPRIYA (Joint Author) | NA | November 2024 |
| JOURNAL PAPER (International) | Construction of semi-orthogonal wavelet frames on locally compact abelian groups | Annali di Matematica Pura ed Applicata (1923 -) | Satyapriya, Raj Kumar, Firdous A. Shah (Joint Author) | https://doi.org/10.1007/s10231-024-01488-2 | July 2024 |
| JOURNAL PAPER (International) | NONUNIFORM BIORTHOGONAL WAVELETS IN SOBOLEV SPACES | Journal of Mathematical Sciences | Reena, Vijay Kumar Yadav1, Raj Kumar, Manish Chauhan (Joint Author) | https://doi.org/10.1007/s10958-025-07943-6 | September 2025 |
| JOURNAL PAPER (International) | ON THE CONSTRUCTION OF DYADIC WAVELET FRAMES IN LOCAL FIELDS OF POSITIVE CHARACTERISTIC | The Australian Journal of Mathematical Analysis and Applications | VISHAL DHAWAN, KHALIL AHMAD, SATYAPRIYA, AND RAJ KUMAR (Joint Author) | https://ajmaa.org/cgi-bin/paper.pl?string=v22n2/V22I2P7.tex | September 2025 |
Books
| Category | Book Name | Name of Author | Title | 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 |
Faculty Achievements
| Year | Category of Achievement | Role | National / International | 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 |
| 2024 | WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED | SUBJECT EXPERT | International | International conference on Mathematical Sciences and Its Applications | 15.Oct.2024 - 17.Oct.2024 |
| 2024 | WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED | OTHERS | College | English-Hindi-English Short Term Translation Certificate Course | 05.Oct.2024 - 04.Dec.2024 |
| 2025 | FACULTY DEVELOPMENT PROGRAM ATTENDED | MEMBER | University | NEP 2020 ORIENTATION & SENSITIZATION PROGRAMME | 14.Feb.2025 - 22.Feb.2025 |
| 2026 | WORKSHOP/ SEMINAR/ CONFERENCE ATTENDED | PAPER PRESENTER | International | International Conference on APPLIED AND INTERDISCIPLINARY MATHEMATICAL SCIENCES (ICAIM 2025) | 20.Nov.2025 - 22.Nov.2025 |