Dr.Zahid Raza
Associate Professor
Academic RankAssociate Professor

- Pure and Applied Mathematics

- a) Commutative Algebra and Ring Theory b) Finite Group Rings/Coding on Finite Rings c) Computational Chemical Graph Theory d) Elementary Number Theory e) Applications of Mathematics f) Algebraic Geometry

- zraza@sharjah.ac.ae
- 065050318

Ph.D. Mathematics, Government College University, Lahore, Pakistan( May, 2008),
Supervisor: Prof. Alexandru Dimca(France)
M.Sc. Mathematics, University of the Punjab, Lahore, Pakistan(2003)
B.Sc. Mathematics, University of the Punjab, Lahore, Pakistan(2001)

Employment History
• Associate Professor 01-09-2015- till Department of Mathematics, College of Sciences, University of Sharjah, Sharjah , UAE.
• Associate Professor 01.01.2014-
01-09-2015 National University of Computer and Emerging Sciences, Lahore Campus, Pakistan
• Assistant Professor 20.02.2010-
31.12.2013 National University of Computer and Emerging Sciences, Lahore Campus, Pakistan
20.02.2010-
31.12.2013 National University of Computer and Emerging Sciences, Lahore Campus, Pakistan
01.04.2009-19.02.2010 Abdus Salam School of Mathematical Sciences, G.C. University, Lahore, Pakistan
10.10.2008- 30.03.2009 Institute of Mathematics Academy of sciences of the Republic Czech
10.05.2008-09.10.2008 Abdus Salam School of Mathematical Sciences, G.C. University, Lahore, Pakistan

•Member of the organizing committee of the 6th World Conference on 21st Century Mathematics 2013, March, Pakistan.
•Member of the organizing committee of the Workshop on Algebraic and Topological Aspects of Arrangements, LUMS, Lahore, Pakistan, November, 09-10, 2012

Accepted Papers
1.Z. Raza, M. T. Rahim, S. Tariq, Sandpile Model on Subdivided Wheels W_nl, Utilitas Math.
2.A. Ali, A. A. Bhatti, Z. Raza, The augmented Zagreb index, vertex connectivity and matching number of graphs, Bulletin of the Iranian Mathematical Society
3. Z. Raza, A. A. Bhatti, A. Ali, More on Comparison Between First Geometric-Arithmetic Index and Atom-Bond Connectivity Index, Miskolc Mathematical Notes
4. A. Ali, A. A. Bhatti, Z. Raza, Topological study of tree-like polyphenylene systems, spiro hexagonal systems and polyphenylene dendrimer nanostars , Quantum Matter
5. A. Ali, Z. Raza, A. A. Bhatti, On the Augmented Zagreb Index, Kuwait Journal of Science
6. Z. Raza, On the critical group of certain subdivided wheel graphs,
Punjab University Journal of Mathematics
2015
1. Z. Raza, S. A. Waheed, GCED and reciprocal GCED matrices, Hacettepe Journal of Mathematics
and Statistics, Vol. 44 (3) , 633 – 640 (2015).
2. I. Anwar, Z. Raza, Quasi-Linear Quotients and Shellability of Pure Simplicial Complexes,
Communications in Algebra, Vol. 43, no.11, 4698-4704, DOI: 10.1080/00927872.2014.937952 (2015)
3. I. Anwar, Z. Raza and A. Kashif, Spanning simplicial complexes of uni- cyclic graphs, Algebra Colloq,
Vol., 22, no. 4, 707-710, DOI: 10.1142/S1005386715000590 (2015)
4. A. Ali, A. A. Bhatti, Z. Raza Vertex-degree-based topological indices of a smart polymer and some dendrimer nanostars, Optoelectronics Adv. Materials-Rapid Commun.,Vol. 9, no. 1-2, 256-259, (2015).
5. A. Ali, A. A. Bhatti, Z. Raza, Some vertex-degree-based topological indices of polyomino chains,
J. Comput. Theor. Nanosci., Vol., 12, no. 9, 1-7, (2015).
6. M. F. Shamir, Z. Raza, Locally Rotationally Symmetric Bianchi Type I Cosmology in f(R) Gravity,
Can. J. Phy., Vol., 93, no. 1, 37-42, (2015).
7. M. F. Shamir, Z. Raza, Cylindrically symmetric solutions in f (R,T ) gravity, Astrophys. Space Sci .,
Vol. 356,no.1, 111-118, (2015).
8. M. F. Shamir, Z. Ahmad, Z. Raza, Gravitational Dust Collapse in f(R) Gravity , Int. J. Theo. Phy.,
Vol.,54, no. 5, 1450-1460, (2015).
9. N. Saleem, B. Ali, M. Abbas, Z. Raza, Fixed points of Suzuki type generalized multi-valued mappings in fuzzy metric spaces with applications, Fixed Point Theory App. 2015:36 DOI: 10.1186/s13663-015-0284-7, (2015).
10. Z. Raza and R. Ali, On the Unitary Units of The Group Algebra F_2^kQ_16, Asian-European J. Math.
Vol. 8, no. 1 [7 Pages] DOI: 10.1142/S1793557115500138 (2015).
11. Z. Raza, A. Iqbal, Infinite log-concavity and r-factor, Math. Sci. Letter, Vol.4, no. 2, 1-7, (2015).
12. Z. Raza, W. Shahzad, Counting of Binary Matrices Avoiding some 2 × 2 Matrices, VFAST Transactions on Mathematics, Vol. 6, no.1, 1-6, (2015).
13. Z. Raza, S. A. Waheed, GCED and reciprocal LCEM matrices, Notes on Number Theory and Discrete Mathematics, Vol. 21, no. 1, 79-85, (2015).
14. Z. Raza, S. A. Waheed, On the divisibility of LCEM and GCED matrices, FAST-NU Research Journal,
Vol. 1, no. 1, 1-7, (2015).

PhD Thesis Supervision
• 2010-2014 Noether Symmetries and Exact Solutions for Physical Models on Curved Surfaces
(Ms. Sumaira Sharif, HEC Scholar) Thesis defense: 01-10-2014
• 2011-2015 Exact Solutions and Symmetries in f(R) Gravity (Mr. Farasat Shamir)
Thesis defense: 06-06-2015
• 2011-2015 Algebraic Characterization of Spanning Simplicial Complexes
(Mr. Agha Kashif Khan) Thesis defense: 28-07-2015
• 2011-2016 Best Proximity Results in Fuzzy Metric Spaces (Mr. Naeem Saleem)
MS Thesis Supervision
• 2011 Combinatorial Aspects of Semigroups (Mr. Ajmal Ali).
• 2011 On the Critical Group of C_nvP_2 (Mr. Naeem Saleem).
• 2011 Party of Catalan Numbers and Related Sequences (Mr. Ali Nawaz Bajwa).
• 2011 Structure and Divisibility Properties of GCED and LCEM Matrices(Ms.Seemal Abdul Waheed).
• 2012 Fuzzy Subgroups of some Finite Groups (Ms. Humaira Bashir).
• 2012 Graphs Associated with Dihedral type Groups (Mr. Shahzad Faizi).
• 2012 Infinite Log-Concavity and r-Factor (Mr. Anjum Iqbal).
• 2012 The Structure of the Unitary Units of some Finite Group Rings(Mr. Maqsood Ahmad).
• 2012 Critical Groups of some Families of Graphs (Mr. Mohammad Aamer).
• 2013 Subgroup Commutativity and S- Commutativity degrees of Finite Groups(Mr. M. Shahbaz).
• 2013 Conserved Quantities of the Different Line Elements via Noether ’s Approach(Mr. Tauseef).
• 2013 On the Structure of Involutions and Symmetric Spaces of Quasi-Dihedral Groups(Mr. Imran)
• 2013 Sandpile Model on Subdivided Wheels (Ms. Saleha Tariq).
• 2013 Unitary Unit Group of Finite Group Algebra (Mr. Riasat Ali).
• 2013 Subgroups Lattice and Fuzzy Subgroups of Finite Groups (Mr. Nadeem Ahmad).
• 2013 Invariant Polynomial Transformations of Integer Sequences( Mr. Qasim Noor).
• 2013 On Generalized Fibonacci Quaternions (Ms. Laila Yawar).
• 2014 Solutions of some Diophantine Equations (Ms. Hafsa Masood Malik).
• 2014 On the Norms of Special Matrices with Integer Sequences (Mr. Muhammad Asim Ali).
• 2015 Algebraic Properties of Quasi-Dihedral Group(Mr. Jamshed Afzal).
• 2015 On the Critical Group of a Family of Graphs(Ms. Sidra Iqbal).
• 2015 Achievement and avoidance games on finite none Abelian groups(Ms. Tayyba Tehrim).
• 2015 Fixed point of expansive and non-expansive mappings in Banach space (Mr. Shahid Bashir).

Services
•Member of the curriculum committee at Sharjah University (2015--).
•Member of the scientific research committee at Sharjah University (2015--)
•Deputy Controller of Examination in NUCES Lahore(2010-2014)
• Member of the Library Committee at NUCES Lahore(2010-2015)
• Member of the Interview committee for PhD Admissions at NUCES Lahore (2010-2015).
• Advisor of the Support Society in NUCES Lahore(2012-2014)
• Coordinate of the Graduate Program at NUCES Lahore (2010-2015).

I provide both the rationale and process for developing student learning goals at different levels of difficulty the very essence of differentiation to assist me in better meeting the diverse learning needs of all my students: By designing goals at different difficulty levels, I can ensure that each student is challenged without being overwhelmed. I need to know before planning instruction the level of thinking difficulty a particular learning goal represents so I can design a matching set of aligned instruction, learning tasks, and assessments that will provide credible evidence as to whether students have achieved the targeted goal and at what degree of proficiency. Such alignment will enable me to more accurately diagnose specific student learning needs and modify my instruction accordingly.