Assistant Professor | Department of Mathematics
Contact (Off.): 9718891145
Email Address : kumari[dot]shalini[at]pgdav[dot]du[dot]ac[dot]in
Specialization
Real Analysis, Restricted Three Body Problem,History of Indian Mathematics.
Educational Qualifications
- B.A.Hons (Mathematics) , 1999 , Bhagalpur University,Bihar
- M.A (Mathematics) , 2002 , Bhagalpur University,Bihar
- Ph.D Bhagalpur University,Bihar , 2013 , Bhagalpur University,Bihar
- , ,
Career Profile
- 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 NSUT.
- 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) .
Subjects Taught
Real Analysis
Differential Equation,
Linear Algebra,
Topology,
Complex Analysis
,Abstract Algebra,
Numerical Analysis
Thesis
Restricted three body problem when the primaries are heterogeneous axis symmetric bodies.
Projects
"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.
Journals Articles
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
Conference/ Symposium etc. Paper Presented
- Paper presented in International Conference on Applicable Mathematics, December 19-21,2019 at Ramanujan College,New Delhi.India.
- Paper presented in International Conference on Differential Geometry, Algebra and Analysis, November,15-17,2016, at Jamia Millia Islamia, New Delhi, India.
- Paper presented in International Conference on Celestial Mechanics & Dynamical Astronomy, December,15-17,2015, at Maulana Azad National Urdu University(MANNU) Hyderabad, India.
- Paper presented in International Conference on History and Heritage of Mathematical Science, Indore (India),December 16-19,2004.
Workshop/ Conference/ Symposium ATTENDED
- Workshop on Latex and HTML,on 27th August,2016 at Acharya Narendre Dev college, (University of Delhi).
- National Workshop On Latex & Website Designing ,August 11-12,2016.Shaheed Bhagat Singh College (University of Delhi).
- Short Term Course on Dynamical Systems: Theory & Applications, June 26-30,2016, at Indian School of mines Dhanbad, Jharkhand.
- SeminarWorkshopTraining Programme on the Application of Computer Software in Mathematical Modeling,16-17 May,2014,at Guru Gobind Singh Indraprastha University.
- Non-Linear Dynamics Research lab in M3-Mathematical Modeling with Mathematica Workshop, March 20,2014.(Guru Gobind Singh Indraprastha University).
- National Conference On Advances In Mathematics, March 7-8,2014, Hansraj College, (University Of Delhi).
- International Conference on “The Legacy Of Srinivasa Ramanujan” 17-22 December 2012. (University of Delhi, India).
- National workshop On Application of Mathematics in Industrial Research , Jan 19-20 2012 at Lakshmibai College, (University of Delhi).
- Workshop cum Training Program on “ Modern Trends in Celestial Mechanics and Astronomy” March 17-19,2010.Deshbandhu College, (University of Delhi).
Others
Proficiency in Computer Application, Operation through Various Mathematical tools like - Latex and HTML, Mathematica, Mathtype etc.