Real Analysis, Restricted Three Body Problem, History of Indian Mathematics.

• B.A.Hons (Mathematics) , 1999 , Bhagalpur University,Bihar
• M.A (Mathematics) , 2002 , Bhagalpur University, Bihar
• Ph.D Bhagalpur University, Bihar , 2013 , Bhagalpur University, Bihar
• , ,

• Working as an Assistant Professor  at P.G.D.A.V. College since 28th February 2023.
• Worked as an Assistant Professor  at Satywati College (Eve) (University of Delhi)..
• Worked as an Assistant Professor  at Netaji Subhash University of Technology.
• Worked as an Assistant Professor  at NCWEB (University of Delhi).
• Worked as an Assistant Professor  at Kirori Mal College (University of Delhi).
• Worked as an Assistant Professor  at Acharya Narendra Dev College (University of Delhi).
• Worked as an Assistant Professor  at Shri Guru Tegh Bahadur Khalsa College (University of Delhi) .
• Worked as an Assistant Professor  at Zakir Husain Delhi College (University of Delhi) .
• Worked as an Assistant Professor  at Deshbandhu college, Kalkaji (University of Delhi) .

Real Analysis

Differential Equation,

 Linear Algebra,

Topology,

Complex Analysis

,Abstract Algebra,

Numerical Analysis

1. Organizing Member in a one day workshop on “Machine Learning with R” , organized by the Department of Mathematics of PGDAV College, University of Delhi held on November 16, 2024.
2. Member of the Judgement Committee in the NUMERICAL NINES competition in SPECTRUM’24- The Annual Mathematics Fest on April 15, 2024, organized by the ANANT-The Mathematical Society of PGDAV College, University of Delhi.
3. Member of the Judgement Committee in the NUMERICAL NINES competition in SPECTRUM’24- The Annual Mathematics Fest on April 15, 2024, organized by the ANANT-The Mathematical Society of PGDAV College, University of Delhi.
4. Organizing Member of CONFLUENCE’24: The Alumni Meet & SPECTRUM’24: The Annual Mathematics Fest on April 15, 2024, organized by the ANANT-The Mathematical Society of PGDAV College, University of Delhi.
5. Coordinator of the two-day “Guest Lecture Series on Applied Mathematics: Theory and Applications” held on March 15-16, 2024, organized by Department of Mathematics, PGDAV College, University of Delhi.
6. Teacher Coordinator of Poster Making Competition on National Mathematics Week (the occasion of 136th Birth Anniversary of Srinivasa Ramanujan), held during December 18-24, 2023, organized by PGDAV College, University of Delhi.
7. Member of the Library Committee, for the “Academic Year 2023-24”, PGDAV College, University of Delhi, New Delhi.
8. Member of the SAF Committee, for the “Academic Year 2023-24”, PGDAV College, University of Delhi, New Delhi.
9. Member of the Admission Committee, for the “Academic Year 2023-24”, PGDAV College, University of Delhi, New Delhi.
10. Organizing Member of SPECTRUM’23: The Annual Mathematics Fest on April 13, 2023, organized by the ANANT-The Mathematical Society of PGDAV College, University of Delhi.
11. Organizing Member of CONFLUENCE’23, held on March 25, 2023, organized by the ANANT-The Mathematical Society of PGDAV College, University of Delhi.
12. Organizing Member /Resourse Person in the “INSPIRE Internship Program-2014” organized by Deshbandhu  College, University of Delhi held from October 8-12, 2014.

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Restricted three body problem when the primaries are heterogeneous axis symmetric bodies.

"Non-linear Stability of L4 in the R3BP when the Smaller Primary is a Heterogeneous trixial rigid body with N layers."Kingdom of Saudi Arabia,Majmaah University,Deanship of Scientific Research.

1. Sada Nand Prasad, Abdullah , Bhawna Singh, Kumari Shalini  (2024), Non-Linear Stability in the CR3B Problem under the Effects of Beyond-Newtonian Dynamics and Kerr Like Primaries. Astronomy Reports, ISSN I03- 7729, Vol-68, No. 3,  pp. 277-293. Springer International.
2. Kumari Shalini, Pankaj Sharma, Kumari Ranjana (2024), Effect of perturbed potential of heterogeneous triaxial rigid bodies of N layers on the stability of libration points in the R3BP New Astronomy, ISSN -1384-1076 ,Vol-109,102202, Elsevier International.
3. M. Shahbaz Ullah, M. Javed Idrisi, Kumari Shalini (2024), Investigating the albedo effects on the dynamics of infinitesimal mass in the elliptic Sitnikov five-body problem. New Astronomy, ISSN -1384-1076 ,Vol-108,102175,Elsevier International.
4. Kumari Shalini, M. Javed Idrisi, J.K. Singh, M. Shahbaz Ullah (2023), Stability analysis in the R3BP under the effect of heterogeneous spheroid.  New Astronomy, ISSN -1384-1076 ,Vol-104,102056,Elsevier International.
5. Bhawna Singh, Kumari Shalini, Sada Nand Prasad, Abdullah A Ansari (2023), Study the non-linear stability of non-collinear libration point in the restricted three-body configuration when the shapes of the primaries are taken as heterogeneous body and finite straight segment.  Solar system research,  ISSN:0038-0946.Vol-57,261-277 Springer International.
6. Bhawna Singh, Kumari Shalini, Sada Nand Prasad, Abdullah A Ansari (2022), Study the effect of Modified Newtonian Force on the restricted 3-body configuration in Non-Linear sence, Applications and Applied Mathematics: An International Journal(AAM) ISSN:1932-9466,Vol-17,pp-450-471.
7. Md Sanam Suraj , Rajiv Aggarwal, Md Chand Asique and  Kumari Shalini (2021), The study of Newton–Raphson basins of convergence in the three-dipole problem. Non-linear Dynamics, ISSN,0924-090X, Vol-107, 829-854, Springer International.
8. Sada Nand Prasad ,Kumari Shalini, and Abdullah A. Ansari (2021), The dynamical study of variable mass test particle in nonlinear sense of restricted 3-body problem with heterogeneous primaries, Applications and Applied Mathematics: An International Journal (AAM) ISSN:1932-9466, Vol-16, 1274-1294.
9. Abdullah A. Ansari , K. R. Meena  and Kumari Shalini,  (2021), Generalized cr3b problem with heterogeneous primary and secondary as finite straight segment, Applications and Applied Mathematics: An International Journal (AAM) ISSN:1932-9466, Vol-16, 1120-1129.
10.  Abdullah A. Ansari , Ashraf Ali  Kumari Shalini and , Mehtab Alam   (2019), Heterogeneous primaries in CR4BP, International Journal of Advanced Astronomy, ISSN-2312-7414, Vol-7(2), 49-56.
11. Abdullah A. Ansari, Kumari Shalini, and Ziyad A. Alhussain (2019), Non-linear Stability of L4 in the R3BP when the Smaller Primary is a Heterogeneous triaxial rigid body with N layers, Italian Journal of Pure and Applied Mathematics, ISSN- 11268042, Vol-41, 297-312.
12. Md Sanam Suraj , Rajiv Aggarwal,  Kumari Shalini and Md Chand Asique (2018), Out-of-Plane Equilibrium Points and Regions of Motion in Photo gravitational R3BP when the Primaries are Heterogeneous Spheroid with Three Layers, New Astronomy, Vol-63, 15-26, ISSN 1384-1076, Elsevier International.
13. Md Sanam Suraj, Md Chand Asique,Umakant Prasad, M.R. Hassan and Kumari Shalini,  (2017),Fractal basins of attraction in the restricted four-body problem when the primaries are triaxial rigid bodies, Astrophysics and Space Science, Vol. 362, 211, ISSN-0004-640X, Springer International.
14. Kumari Shalini, Md Sanam Suraj and Rajiv Aggarwal  (2017), The Non-linear Stability of L4 in the R3BP when the Smaller Primary is a Heterogeneous Spheroid, The Journal of the Astronautical Sciences, ISSN- 0021- 9142, Vol-64, 18-49, Springer International.
15. M. Javed Idrisi  and Kumari Shalini  (2016), Non-collinear liberation points in CR3BP when less massive primary is a heterogeneous oblate body with N-layers. International Journal of Advanced Astronomy, ISSN-2312-7414, Vol-4(1), 39-42.
16. Kumari Shalini,  Abdullah  and Farooq Ahmad (2015), Existence and Stability of L4 of the R3BP When the Smaller Primary is a Heterogeneous Triaxial Rigid Body with N Layers, Journal of Applied Environmental and Biological Sciences, ISSN-2090-4274, Vol-6(1), 249-257.
17. Kumari Shalini, and Mritunjay Jha(2013), Existence and Stability of Liberation Points in the Restricted three body problem when both the Primaries are Heterogeneous Triaxial Rigid Body with N Layers, Inverties Journal of Science and Technology, ISSN-0973-8940, Vol.6, No-3, Page No -1-13.
18. Kumari Shalini and Mritunjay Jha (2010), Existence and Stability of Libration Points in the Restricted three body problem when the Smaller Primary is a Heterogeneous Spheroid with three layers. Global Sci-Tech, Al-Falah's Journal of Science and Technology, ISSN-0975-9638, Vol- 2, No-4, 218-226.
19. Kumari Shalini and V N Jha (2009), Mathematical contribution of some of the Jaina philosophers, Arhat Vacana, ISSN-0971-9024, Vol-21, No-1, 63-65.

1. Paper presented (online) in the FIRST INTERNATIONAL CONFERENCE ON RECENT RESEARCHES IN MATHEMATICS (FICRRM-22) organized by the Department of Mathematics, College of Natural and Computational Science, Mizan-Tepi University, Tepi Campus, Ethiopia during 20-21 April, 2022.
2. Paper presented in International Conference on Applicable Mathematics with the theme “Network-Science” organized by the Department of Mathematics, Ramanujan College, University of  Delhi, India held during December 19-21, 2019.
3. Paper presented in National Conference on Advances in Applied Mathematics and Statistics, organized by the Department of Mathematics , Mata Sundri College for Women, University of Delhi, held during September 7-8,2017.
4. Paper presented in International Conference on Differential Geometry, Algebra and Analysis organized by the Department of Mathematics, Jamia Millia Islamia, New Delhi, India , held during November 15-17, 2016.
5. Paper presented in International Conference on Celestial Mechanics & Dynamical Astronomy, at Maulana Azad National Urdu University(MANNU) Hyderabad, India held on December,15-17,2015.
6. Paper presented in International Conference on History and Heritage of Mathematical Science, Indore (India), December 16-19,2004.

1. Participated in the International Symposium on “Recent Trends of Applied Mathematics in Science and Engineering” held on 22nd November 2024 organized by Department of Applied Sciences & Humanities ABES Engineering College, Ghaziabad, Uttar Pradesh, India.
2. Participated (online) in the “One  Day International Symposium on Recent Advances in Differential Equations and Applications (ISRADEA-2024) held on August 06,2024 in hybrid mode organized by Department of Mathematics  of Deshbandhu College, University of Delhi,India.
3. Completed Two Week NCM Instructional School for Teachers on “Principles of Continuum Mechanics” organized  by the Department of Mathematics, J. C. Bose University of Science and Technology, YMCA, Faridabad from June 3-15,2024,India.
4. Participated one day Workshop on  International Mathematics & Pi Day organized  by the Department of Mathematics South Asian University, New Delhi. held on March 28, 2024.
5. Completed “Seven Days International Faculty Development program on Recent Trends in Mathematics and Technology” (Virtual mode), from 22.12.2023 to 29.12.2023, conducted by the Department of Mathematics, SRM TRP Engineering College, Tiruchirappalli, Tamil Nadu, India.
6. Completed Two Weeks (Online) Faculty Development Programme on “Computer Algebra System”  march 22  to  April 3 organised by IQAC, Ramjas College, University of Delhi.
7. Completed a  4-Week Faculty Induction/Orientation Programme for “Faculty in Universities/Colleges/Institutes of Higher Education” from 23 April – 22 May, 2023 and obtained Grade A+.
8. Participated in One-Day National Level Workshop on 'Various Aspects of Research Funding, Academic Writing and Publication Ethics' organised by Research Cell, Shivaji College (University of Delhi), New Delhi, India on 30.01.2021.
9. Participated in the First National Conference on “Application of Mathematical Tools in Social Sciences and Sciences (Online)” organized by Zakir Husain Delhi College, University of Delhi from October 17-18, 2020.
10. Participated in the International Webinar on “A Journey from Integers to Rings” organized by Department of Mathematics and IQAC of Deshbandhu College held on October 13, 2020.
11. Participated in the INTERDISCIPLINARY WEBINAR on The Fundamental Theorem of Strategic Voting  organized by the Department of Mathematics. Shyama Prasad Mukharji College for Women, University of Delhi, held on 10th October, 2020
12. Participated in the National Webinar entitled "Impact of Diet on Health and Immunity" organised by Internal Quality Assurance Cell and Department of Mathematics, Janki Devi Memorial College, University of Delhi on October 8, 2020.
13. Participated in the national webinar on “ Life with/ without Mathematics” organized by Department of Mathematics, Acharya Narendre Dev Kissan P.G. College, Babhnan, Gonda (U.P.) on 25.09.2020.
14. Participated in the National webinar on “Introduction to Wolfram Mathematica” organized by the Department of Mathematics and IQAC of Deshbandhu College held on September 7, 2020.
15. Participated in the National webinar on “Tourism in Space: A Mathematical Overview” organized by Department of Applied Sciences, Galgotias College of Engineering and Technology, Greater Noida, on 03 September 2020.
16. Participated in the National webinar on *Fractals and Its Applications in Real Life* organized by the Department of Mathematics and IQAC of Deshbandhu College, University of Delhi on August 25, 2020.
17. Participated in the Two days National Faculty Enrichment Program on “Higher Education with Covid 19: Challenges and Prospects” organized by the Internal quality Assurance Cell(IQAC), at K.B. College, Hazaribag, Jharkhand during 16-17 Auguest ,2020.
18. Participated in webinar on R software organized by the university department of mathematics, TMBU, Bhagalpur on 6th and 7th June, 2020.
19. Participated and performed excellent in online “SPORTS KNOWLEDGE QUIZ” organized by  Department of Physical Education & Sports of Shri Shahaji Chhatrapati Mahavidyalaya, Kolhapur on 16 May 2020.
20. Participated in Emerging Trends in Mathematical Sciences for Industry and Environment: Use of technical Hindi Vocabulary organized by Commission for Scientific and Technical Terminology at Shaheed Bhagat Singh College, University of Delhi held on January 27-29, 2020.
21. Participated in Technical Terminology in Science (Mathematics and Physics) organized by Commission for Scientific and Technical Terminology at Vinoba Bhave University, Hazaribag, held on 12-13 July 2018.
22. Participated one day Faculty Empowerment Workshop entitled “ National Workshop on Latex-An ICT Tool for Scientific Publishing” organized by Guru Angad Dev Teaching Learning Centre of  MHRD, SGBT Khalsa College, University of Delhi, on 26 March,2018.
23. Participated two days National Workshop on Mathematical Modelling and Computational Techniques using Mathematica organized by Department of Mathematics, Zakir Husain Delhi College,   University of Delhi held on 30-31 March 2017.
24. Participated Faculty Development Program on Satistical Computing Software ‘R’ organized by Department of Mathematics, Keshav Mahavidyalya , University of Delhi on 24 March 2017.
25. Participated two days National Workshop on Biostatistics, organized by Department of Botany in association with Department of Mathematics, Zakir Husain Delhi College,   University of Delhi, held on March 9-10, 2017.
26. Participated in Workshop on Latex and HTML organized by the Department of Mathematics,  Acharya Narendre Dev College, University of Delhi, held on 27th August 2016.
27. Participated Two days   National Workshop On Latex & Website Designing organized by the Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, held on 11-12 August 2016.
28. Participated in Short Term Course on “Dynamical Systems: Theory & Applications” Designing organized by the Department of Applied Mathematics, Indian School of mines Dhanbad, Jharkhand held on June 26-30,2016.
29. Participated in Application of Computer Software in Mathematical Modeling organized by Commission for Scientific and Technical Terminology at Non-Linear Dynamics Lab, USBAS, GGSIPU held on May 16-17, 2014.
30. Participated in “M3-Mathematical Modeling with Mathematica Workshop” organized by Non-Linear Dynamics Research lab USBAS, Guru Gobind Singh Indraprastha University, Delhi held on March 20, 2014.
31. Participated Two days   National Workshop “On Advances In Mathematics” organized by the Department of Mathematics, Hansraj College, University of Delhi, held on March 7-8,2014.
32. Participated Five days International Conference on “The Legacy Of Srinivasa Ramanujan” organized by the Department of Mathematics, University of Delhi, held on December 17-22,2012.
33. Participated Two days   National Workshop “Application of Mathematics in Industrial Research” organized by the Department of Mathematics, Lakshmibai College, University of Delhi, held on January 19-20,2012.
34. Participated Three days Workshop cum Training Program on “ Modern Trends in Celestial Mechanics and Astronomy” organized by the Department of Mathematics, Deshbandhu College, University of Delhi, held on March 17-19,2010.

Proficiency in Computer Application, Operation through Various Mathematical tools like -  Latex and HTML, Mathematica,  Mathtype  etc.