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Dr. Tooba Siddiqui
Associate Professor
Department of Mathematics

SNS
National University of Sciences and Technology (NUST)
School of Natural Sciences, H-12, Islamabad
Tel : +92 51 9085 5581
Email : tferoze (at mark) sns.nust.edu.pk

Specialization
Mathematics

Education
PhD, Mathematics (QAU, Pakistan)

Education:

PhD (2006) Symmetry Methods for Differential Equations, Quaid-i-Azam University, Islamabad, Pakistan

MPhil (1999) Applied Mathematics, Quaid-i-Azam University Islamabad

MSc (1997) Applied Mathematics, Punjab University, Lahore, Pakistan

Teaching and Research Positions:

  • Associate Professor, June 2012 to date, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.
  • Assistant Professor, Aug. 2007 to June 2012, School of Natural Sciences(formerly known as CAMP), National University of Sciences and Technology, Islamabad, Pakistan.
  • Research Associate, Dec. 2006-Aug. 2007, School of Natural Sciences(formerly known as CAMP), National University of Sciences and Technology, Islamabad, Pakistan. (In the project entitled Conformal Symmetries in General Relativity by Higher Education Commission 
  • Visiting Researcher, Dec. 2005 –Sep. 2006, Mathematics Department, Linkoping University, Sweden.
  • Research Assistant, Feb.–Sep. 2005, School of Natural Sciences(formerly known as CAMP ), National University of Sciences and Technology, Rawalpindi, Pakistan.
  •  Lecturer, Aug. 2004-Jan. 2005, National University of Computer and Emerging Sciences, Islamabad, Pakistan.
  • Visiting Faculty, May-Aug. 2004, EME College, National University of Sciences and Technology, Rawalpindi, Pakistan.
  • Senior Research Assistant, 2000-2005, Mathematics Department, Quaid-I-Azam   University, Islamabad, Pakistan.
  • Junior Research Assistant, 1997-1999, Mathematics Department, Quaid-I-Azam   University, Islamabad, Pakistan.
  • Appointed Research Associate in the project entitled Classification of Plane Symmetric Spacetimes according to Isometries by Pakistan Science Foundation (May 1998 – April 1999).

Other Activities:

Account officer from 2007-2011 at SNS

Student Advisor 2011-2012 at SNS

RIC Coordinator 2012-date at SNS

PARTICIPATION IN LOCAL CONFERENCES :
 
1.      Frontiers in Physics, National Centre for Physics, Islamabad, Pakistan, January 1999.
2.      Applications of Group Theory, Mathematics Department, Quaid-I-Azam   University, Islamabad, Pakistan, April 2000.
3.      Workshop on Superstrings, National Centre for Physics, Quaid-I-Azam   University, Islamabad, Pakistan, April-May, 2001.
4.      Workshop on “Applications of Symmetry Methods”, Mathematics Department, Quaid-i- Azam University, Islamabad, October, 2002.
5.      Symposium on Cosmology, Astrophysics and Relativity, Rawalpindi, Pakistan, October, 2004.
6.      All Pakistan Mathematics Conference, Pakistan Academy of Sciences, June 2007.
7.      One Day Symposium, Centre for Advanced Mathematics and Physics, National University of Sciences and Technology,Pakistan, March,25,2008
8.      One Day Symposium, Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Pakistan, April, 25,2009.
9.      NUST Conference on Mathematical Sciences 2011, National University of Sciences and Technology, Pakistan, November, 2011.
 
PARTICIPATION IN INTERNATIOPNAL CONFERENCES :
 
1.      25th International Nathiagali Summer College held in Nathiagali, Pakistan, June-July, 2000.
2.      11th Regional Conference on Mathematical Physics, Tehran, Iran, May, 2004.
3.      12th Regional Conference on Mathematical Physics, Islamabad, Pakistan, March, 2006.
4.      Geometry and Relativity Meeting, Institute of Mathematics, Linkoping University, Linkoping, Sweden, June, 2006.
5.      II Italian- Pak Workshop, Pescara, Italy, July, 8-10, 2009.
6.      12th Marcel Grossmann Meeting, Paris, France, July, 12-19, 2009.
7.      13th Marcel Grossmann Meeting, Stockholm, Sweden, July, 1-7, 2012.


PROCEEDINGS:

 

  1. Tooba Feroze, "On the Existence of New Conserved Quantities for the Spaces of Different Curvatures", Proceedings of the 12th Marcel Grossmann Meeting, Paris, France, July, 12-19, 2009, Edited by Thibault Damour and Robert T. Jantzen, World Scientific, 1890.
  2. Tooba Feroze and Bismah Jamil , “The Classification of a Class of Plane Symmetric Static Spacetimes According to their Noether Symmetries”. Proceedings of the 13th Marcel Grossmann Meeting, Stockholm, Sweden, July, 1-7, 2012. (Submitted)
  3. Tooba Feroze, "Electromagnetic Solutions of Einstein’s Field equations using Symmetry Methods", Proceedings of the workshop on “Applications of Symmetry Methods” October 15-17, 2002, Quaid-i-Azam University, Islamabad, Pakistan, Edited by Asghar Qadir and Khalid Saifullah.
 
POSTER PRESENTATIONS:
 
 "The Connection Between Symmetries of Geodesic Equations and Isometries of the Underlying Spaces" by Feroze, T., Mahomed, F. M. and Qadir, A., Presented in 11th Regional Conference on Mathematical Physics, Tehran, Iran, May, 2004.

 

Research Interests:

Symmetry methods for Differential Equations, General Relativity


Research Students

Bismah Jamil (Dec. 20, 2012) “The classification of a class of plane symmetric static spacetimes according to their Noether symmetries”.
Ghazala Nazeer (Dec. 20,  2012) “Charged analogue of Vlasenko-Pronin superdense star with variable cosmological term”.
Hadia Tariq (May 16, 2014) “Solution of the Einstein field equations with polytropic equations of state”.
Tayyaba Zafar (May 07, 2015) “Approximate solutions of Burgers’ equation”.
Tayyaba Shabbir (September 04, 2015) “Double-null form for (3+1)-dimensional spacetimes”
Mohsin Umair (May 29, 2017) “Exact Solutions of Monge-Ampere and Zabolotskaya-Khokhlov Equations Using Optimal System”
Tahir-ul-Husnain (September 08, 2017) “Discrete symmety Analysis of Some Partial Differential Equations and Related Exact Solutions”

                                                                                                                        

Research ​Publications:
 
​S/No ​Reference
​1. Feroze, T., Qadir, A. and Ziad, M. (2001) “The Classification of Plane Symmetric Spacetimes by Isometries" J. Math. Phys., Vol. 42, No. 10, 4947-4954  ISSN No. 0022-2488, (Impact Factor: 1.018).
​2. Feroze, T., and Kara, A. H. (2002) “Group Theoretic Method for Approximate Invariants and Lagrangian for Some Classes of y”+e F(t) y’+ y = f(y, y’)" Int. J. Nonlinear Mech. Vol. 37, 275-280. ISSN No. 0020-7462, (Impact Factor: 1.205).
​3. Feroze, T., Mahomed, F. M. and Qadir, A., (2003) "Non-Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein’s equations" Il Nuovo Cimento B Vol.  118, No. 9, 895-902.ISSN No. 2037-4895, (Impact Factor: 0.351).
​4. Feroze, T., Mahomed, F. M. and Qadir, A., (2006) "The Connection between Isometries and Symmetries of Geodesic Equations of the Underlying Spaces", Nonlinear Dynamics Vol. 45, 65-74.ISSN No. 0924-090X, (Impact Factor: 0.902).
​5. Feroze, T., Qadir A.,and Ziad M. (2008) "Uniqueness of the McVittie Solution as Plane Symmetric Sourceless Electromagnetic Field Spacetimes", Mod. Phys. Lett. A, Vol. 23, No. 11, 825-828.ISSN No. 0217-7323, ISI (Impact Factor: 1.564).
​6. Feroze, T., (2010) “New Conserved Quantities for the Spaces of Different Curvatures”, Mod. Phys. Lett. A, Vol. 25, No. 13, 1107-1114ISSN No. 0217-7323, (Impact Factor: 0.990).​
​7. Feroze, T., and Hussain, I., (2011) “Noether Symmetries and Conserved Quantities for Spaces with a Section of Zero Curvature”, J. Geo. Phys. Vol. 61, 658-662 ISSN No. 0393-0440, (Impact Factor: 0.652).
​8. Feroze, T., and Siddiqui, A. A., (2011) “Charged Anisotropic Matter with Quadratic Equation of State”, Gen. Rel.& Grav., Vol. 43, 1025-1035.ISSN No. 0001-7701, (Impact Factor: 2.538).
​9. Feroze, T., and Siddiqui, A. A., (2011) “Comments on Revisiting the Classical Electron Model in General Relativity”,Astrophysics and Space Sciences, Vol. 335, No. 2, 337.ISSN No. 0004-640X, (Impact Factor: 1.437).
​10. ​Feroze, T., (2012) “Exact Solutions of the Einstein-Maxwell Equations with Linear Equation of State”, Canadian Journal of Physics 90(12), 1179-1183.ISSN  No. 0008-4204, (Impact Factor: 0.88)
​11. ​Ali, F., and Feroze, T., (2013) “The Classification of Plane Symmetric Static Spacetimes According to their Noether Symmetries” 52 Int. J. Theo. Phys. 3329–3342.ISSN  No. 0020-7748, (Impact Factor: 1.086)
​12. ​Feroze, T., and Ali, F. (2014) “Corrigendum to “Noether symmetries and conserved quantities for spaces with a section of zero curvature curvature”, Journal of Geometry and Physics 61 (2011) 658-662” Journal of Geometry and Physics 80, 88-89.ISSN No. 0393-0440, ISI (Impact Factor: 1.055)
​13. Feroze, T., and Siddiqui, A. A., (2014) “Solutions of the Einstein-Maxwell Equations with Quadratic Equation of State”, Journal of the Korean Physical Society, 65(6), 944-947.ISSN No. 0374-4884  (Impact Factor: 0.425)​
​14. Feroze, T., and Tariq, H., (2015) “Exact Solutions of the Einstein-Maxwell Equations with Polytropic Equations of State” Canadian Journal of Physics, 93(6), 637-640 ISSN  No. 0008-4204 (Impact Factor: 0.928)
​15. Ali, F., Feroze, T., and Ali, S. (2015) “The Classification of Spherically Symmetric Static Spacetimes via Noether Symmetries” Theoretical and Mathematical Physics, 184(1), 973–985 ISSN No. 0040-5779 (Impact Factor: 0.700)​
​16. Feroze, T., (2015) “Comments on “Complete Classification of Spherically Symmetric Static Spacetimes by Noether Symmetries Int. J. Theo. Phys., 52 (2013), 3534–3542”” International Journal of Theoretical Physics, 54 (10),3500-3502 ISSN  No. 0020-7748 (Impact Factor:1.184)
​17. Ali, F. and Feroze, T., (2015) “Approximate Noether Symmetries from Geodetic Lagrangian for Plane Symmetric Spacetimes” International Journal of Geometric Methods in Modern Physics, 12, 1550124 (9 pages) ISSN No.:0219-8878 (Impact Factor: 0.437)
​18. ​Feroze, T., and Nazeer, G. (2016) “Charged analogue of Vlasenko- Pronin Superdense Star with Variable Cosmological Term” (Pramana Journal of Physics) DOI: 10.1007/s12043-015-1085-6 ISSN No.:0304-4289 (Impact Factor: 0.72)
​19. Rashida Bibi, Tooba Feroze and Azad A. Siddiqui, (2016) “Solution of the Einstein–Maxwell equations with anisotropic negative pressure as a potential model of a dark energy star” Canadian Journal of Physics, 94(8) 758-762.ISSN  No. 0008-4204 (Impact Factor: 0.724) https://doi.org/10.1139/cjp-2016-0069
​20. Bismah Jamil and Tooba Feroze, (2017)“Conservation Laws Corresponding to the Noether Symmetries of the Geodetic Lagrangian in Spherically symmetric Spacetimes” International Journal of Modern Physics D, 26(5), 1741006 (17 pages).  ISSN No.: 0218-2718 (Impact Factor: 1.963)  doi: 10.1142/S0218271817410061
21​. Ayesha Mahmood,  Azad A. Siddiqui and Tooba Feroze, (2017)“A Class of Non-Static Exact Solutions of the Einstein-Maxwell Field Equations” International Journal of Modern Physics D, 26(5), 1741008 (12 pages). ISSN No.: 0218-2718 (Impact Factor: 1.963) doi: 10.1142/S0218271817410085
​22. Farhad Ali and Tooba Feroze, “Cylindrically Symmetric Gravitational Wave like Spacetimes” (Accepted in Theoretical and Mathematical Physics) ISSN No. 0040-5779 (Impact Factor: 0.984)
​23. Ayesha Mahmood,  Azad A. Siddiqui and Tooba Feroze, “Non-Static Exact Solutions of the Einstein-Maxwell Field Equations” Journal of the Korean Physical Society (Accepted) ISSN No. 0374-4884 (Impact Factor: 0.46)
​24. Bismah Jamil, Tooba Ferozeand Andres Vargas, (2017) “Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times”  Advances in Mathematical Physics, 2017, 4384093 (40 pages) http://dx.doi.org/10.1155/2017/4384093 ISSN No. 1687-9120 (Impact Factor: 0.643)



 

Publications in Non-ISI Listed Journals:

  1. Ali, F. and Feroze, T., (2016) “Complete Classification of Cylindrically Symmetric Static Spacetimes and the Corresponding Conservation Laws” Mathematics 2016, 4, 50; doi:10.3390/math4030050.  ISSN No.: 2227-7390
  2. Feroze, T., Qadir, A., (2009) " Another Representation for the Maximal Lie Algebra of sl (n+2;R) in Terms of Operators,", Differential Equations and Non-linear Mechanics, Volume 2009, 1-3.ISSN No. 1687-4099. (SCOPUS Indexed)
  3. Feroze, T., (2014) Comments on “Modeling Dynamical Interactions between Leptospirosis Infected Vector and Human Population” [Applied Mathematical Sciences, 6 (2012) 1287-1302], Applied Mathematical Sciences,  8(2014), 5565-5568  ISSN 1312-885X (SCOPUS Indexed)   http://dx.doi.org/10.12988/ams.2014.45344

Proceedings:
 
​S/No ​Reference
​1. Tooba Feroze, "On the Existence of New Conserved Quantities for the Spaces of Different Curvatures", Proceedings of the 12th Marcel Grossmann Meeting, Paris, France, July, 12-19, 2009, Edited by Thibault Damour and Robert T. Jantzen, World Scientific, 1890.
​2. Tooba Feroze and Bismah Jamil , “The Classification of a Class of Plane Symmetric Static Spacetimes According to their Noether Symmetries”. Proceedings of the 13th Marcel Grossmann Meeting, Stockholm, Sweden, July, 1-7, 2012. (Submitted)
​3. Tooba Feroze, "Electromagnetic Solutions of Einstein’s Field equations using Symmetry Methods", Proceedings of the workshop on “Applications of Symmetry Methods” October 15-17, 2002, Quaid-i-Azam University, Islamabad, Pakistan, Edited by Asghar Qadir and Khalid Saifullah.​

 

Current Courses
• Linear Algebra II (UG)
• Representation of Lie Groups ( PG)

Previous Courses
• Differential Equations I (UG)
• Differential Equations II (UG)
• Numerical Analysis I (UG)
• Differential Geometry I (UG)
• Geometry (PG)
• Symmetry Methods for Differential Equations (PG)
• Computational Mathematics (PG)
• General Relativity (PG)