Dr. A. Rehman Kashif

$Dr.-Kashif-Math$

PROFESSOR

dr.arehman@cust.edu.pk

+92-51-111-555-666

PROFILE SUMMARY

Dr. Abdul Rehman Kashif completed his Ph.D. degree in the symmetries of spacetimes in General Relativity from the Quad-i-Azam University, Islamabad, in 2004. He has worked as a Postdoctoral fellow at the University of Aberdeen, Scotland, UK. He has vast teaching experience in undergraduate and graduate teaching in Mathematics. He has also represented Pakistan in many advanced countries to present his research work in academia. He is an HEC-approved supervisor and currently supervising MS and Ph.D. students. He is an active researcher in the field of Newtonian and Einstein Gravities. Currently, he is working on the N-Body Problem and restricted 5 or 6 body problems in Newtonian Mechanics and Gravitational Waves and Blackholes in Einstein’s Gravity.

QUALIFICATION
Post Doctoral	Mathematics	University of Aberdeen, Scotland, United Kingdom.	2008
PhD	Mathematics	Quaid-i-Azam, University, Islamabad	2003
MPhil	Mathematics	Quaid-i-Azam, University, Islamabad	1995
MSc	Mathematics	Quaid-i-Azam, University, Islamabad	1992

TEACHING EXPERIENCE
Professor	Capital University of Science and Technology (CUST), Islamabad	Since – 2024
Associate Professor	Capital University of Science and Technology (CUST), Islamabad	2015 – 2024
Assistant Professor	University of Hail, Hail, Saudi Arabia	2009-2005
Assistant Professor	EME college, NUST, Islamabad	2004-2009

RESEARCH AREAS / INTERESTS
1.	N-Body Problem in Newtonian Gravity.
2.	Compact Objects in Einstein Gravity.
3.	Celestial Mechanics

RESEARCH SUPERVISION
1.	PhD	Rhomboidal Restricted Six-Body Problem
2.	M.Phil	Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses
3.	M.Phil	Symmetric Collinear Central Configurations for Two Pairs of Equal Masses
4.	M.Phil	Planar Symmetric Concave Central Configuration in Newtonian Four-Body Problem
5.	M.Phil	Six Masses in a Symmetrical Restricted Collinear Central Configuration
6.	M.Phil	Restricted Symmetric Collinear Central Configuration for Six-Body
7.	MS	On the Planar Central Configurations of Rhomboidal and Triangular Four- and Five-Body Problems
8.	MS	Restricted Trapezoid Five-Body Problem
9.	MS	Planar Central Configurations of Restricted Six-Body Problems
10.	MS	Central Configuration in a Symmetric Five-Body Problem
11.	MS	Regions of Central Configurations in a Symmetric 4+1-Body Problem
12.	MS	Symmetric collinear equilibrium configurations for two pairs of equal masses
13.	MS	Symmetric collinear central configurations for four masses

SR.	JOURNAL PUBLICATIONS	YEAR
1	A. Kashif and M. Shoaib, “Restricted Concave Kite Five-Body Problem,” Advances in Astronomy, vol. 2023, no. 1, p. 9434141, 2023.	2023
2	M. Siddique and A. Kashif, “The Restricted Six-Body Problem with Stable Equilibrium Points and a Rhomboidal Configuration,” Advances in Astronomy, vol. 2022, no. 1, p. 8100523, 2022.	2022
3	M. Siddique, A. Kashif, M. Shoaib, and S. Hussain, “Stability Analysis of the Rhomboidal Restricted Six-Body Problem,” Advances in Astronomy, vol. 2021, no. 1, p. 5575826, 2021.	2021
4	A. Kashif, T. Khan, A. Qayyum, and I. Faye, “A Comparison and Error Analysis of Error Bounds,” International Journal of Analysis and Applications, vol. 16, no. 5, pp. 751–762, 2018.	2018
5	M. Shoaib, A. R. Kashif, and I. Szűcs-Csillik, “On the Planar Central Configurations of Rhomboidal and Triangular Four-and Five-Body Problems,” Astrophysics and Space Science, vol. 362, no. 10, p. 182, 2017.	2017
6	A. Kashif, M. Shoaib, and M. Latif, “Improved Version of Perturbed Ostrowski Type Inequalities for n-Times Differentiable Mappings with Three-Step Kernel and Its Application,” J. Nonlinear Sci. Appl, vol. 9, pp. 3319–3332, 2016.	2016
7	A. Qayyum, A. R. Kashif, M. Shoaib, and A. Faye, “Derivation of New Quadrature Rules Using Ostrowski Type Integral Inequalities for n-Times Differential Mapping,” Journal of Inequalities and Special Functions, vol. 7, no. 3, pp. 48–72, 2016.	2016
8	M. Shoaib, A. R. Kashif, and A. Sivasankaran, “Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses,” Advances in Astronomy, vol. 2016, no. 1, p. 9897681, 2016.	2016
9	A. Qayyum, A. R. Kashif, M. Shoaib, and I. Faye, “Derivation and Applications of Inequalities of Ostrowski Type for n-Times Differentiable Mappings for Cumulative Distribution Function and Some Quadrature Rules,” J. Nonlinear Sci. Appl, vol. 9, no. 4, pp. 1844–1857, 2016.	2016
10	M. Shoaib, A. Sivasankaran, and A. Kashif, “Central Configurations in the Collinear 5-Body Problem,” Turkish Journal of Mathematics, vol. 38, no. 3, pp. 576–585, 2014.	2014
11	G. Hall, D. Lonie, and A. Kashif, “Some Remarks on the Symmetries of the Curvature and Weyl Tensors,” Classical and Quantum Gravity, vol. 25, no. 12, p. 125008, 2008.	2008
12	A. H. Bokhari, A. Kara, A. Kashif, and F. Zaman, “On the Symmetry Structures of the Minkowski Metric and a Weyl Re-scaled Metric,” International Journal of Theoretical Physics, vol. 46, pp. 2795–2800, 2007.	2007
13	A. Bokhari, A. Kara, A. Kashif, and F. Zaman, “Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes,” International Journal of Theoretical Physics, vol. 45, pp. 1029–1039, 2006.	2006
14	A. Bokhari, A. Kashif, and A. Qadir, “Curvature Collineations of Some Plane Symmetric Static Spacetimes,” in Mathematical Physics. World Scientific, 2005, pp. 90–91.	2005
15	A. H. Bokhari, A. R. Kashif, and A. Qadir, “A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics,” General Relativity and Gravitation, vol. 35, pp. 1059–1076, 2003.	2003
16	A. Bokhari, A. Kashif, and A. Kara, “Spherically Symmetric Static Space-Times and Their Classification by Ricci Inheritance Symmetries,” Nuovo Cimento B Serie, vol. 118, no. 8, p. 803, 2003.	2003
17	A. Bokhari and A. Kashif, “Proper Curvature Collineations in Cylindrically Symmetric Static Space-Time,” Nuovo Cimento B, vol. 118, no. 9, pp. 873–886, 2003.	2003
18	A. Bokhari, A. Kashif, and A. Shaikh, “Curvature Versus Ricci and Metric Symmetries in Spherically Symmetric, Static Spacetimes,” Nuovo Cimento della Società Italiana di Fisica [Sezione] B, vol. 115, 2000.	2000
19	A. H. Bokhari and A. Kashif, “Curvature Collineations of Some Static Spherically Symmetric Space–Times,” Journal of Mathematical Physics, vol. 37, no. 7, pp. 3498–3504, 1996.	1996

SR.	CONFERENCE PUBLICATIONS	YEAR
1	A. Kashif, M. Shoaib, and A. Sivasankaran, “Central configurations of an isosceles trapezoidal five-body problem,” in Extended Abstracts Spring 2014: Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution. Springer, 2015, pp. 71–76.	2015
2	A. R. KASHIF and K. Saifullah, “Curvature and weyl collineations of spacetimes,” in The Twelfth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (In 3 Volumes). World Scientific, 2012, pp. 1905–1907.	2012
3	Bokhari A. H., Kashif A. R, Nasir M. Y (2011). Curvature collineation equations: an alternate form Proceeding Pakistan Academy of sciences 38 (2), 179-180	2011
4	A. Kashif, K. Saifullah, and G. Shabbir, “Symmetries of the weyl tensor in bianchi v spacetimes,” in The Eleventh Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes). World Scientific, 2008, pp. 2213–2215.	2008
5	A. Kashif, F. Mahomed, and A. Qadir, “Symmetry classification and invariant characterization of two-dimensional geodesic equations,” in Mathematical Physics. World Scientific, 2007, pp. 369–374.	2007

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Dr. A. Rehman Kashif

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