Welcome to Government College University Lahore - Established 1864

Faculty Directory

GCU Faculty Profile

Back

Prof. Dr. Khurram Shabbir

Professor
Research Interests: Algebraic Topology, Combinatorics and Geometry.
Office Location: Abdus Salam- SMS, 68-B, New Muslim Town Lahore
Contact Number: 00923214168506

Biography

Dr. Khurram Shabbir is a Professor of Mathematics at Government College University (GCU) Lahore and currently serves as the In-charge /Director General of the Abdus Salam School of Mathematical Sciences (Abdus Salam-SMS). He specializes in algebraic topology, combinatorics, and geometry, and is actively involved in teaching and research supervision at the postgraduate level. Dr. Shabbir earned his PhD from Abdus Salam-SMS, GC University Lahore, completed postdoctoral research at the Instituto de Matemáticas, UNAM (Mexico), and holds an MSc from the University of the Punjab. With numerous research contributions and conference presentations, he plays a leading role in advancing mathematical education and research in Pakistan, particularly through his leadership at Abdus Salam-SMS and participation in national and international academic initiatives.

Education

  • Post Doc in Mathematics, Institute Of Mathematics, National Autonomous University Of Mexico (IM-UNAM) (Mexico) 2012

Teaching Areas

Calculus, Algebra, Analysis, Topology, Algebraic Topology and Geometry

Experience

From To Designation Firm/Institution
May 2025 Continue Incharge AS-SMS Abdus Salam School Of Mathematical Sciences, Government College University, Lahore Pakistan
May 2008 Continue Tenured Professor Government College University Lahore

Journal Papers

  • Ahmad, K., Shabbir, K., Ahsan, K. (2025). "A Refined Inertial-like Subgradient Method for Split Equality Problems." AppliedMath , Vol. 5 (3) , pp. 117. DOI: https://doi.org/10.3390/appliedmath503011 | Impact Factor: 0.7
  • Zafar, A. A., Shahzaib, M., Shabbir, K. (2025). "Advanced Hemodynamic Modeling of Pulsatile Blood Flow with Magnetic Nano-particles: Fractional Analysis for Optimizing Biomedical Applications." Punjab University Journal of Mathematics , Vol. 57 (3) , pp. 1-28. DOI: https://doi.org/10.52280/pujm.2025.57(01)01 | Impact Factor: 1
  • Ahmad, K., Shabbir, K., Ali, F., Bota, M,-F., Guran, L. (2025). "An Analytical Approach to Convergence, Stability, and Data Dependence of Jungck-KF Iterative Scheme with Applicatios in Dynamical Market Equilibrium." Symmetry , Vol. 17 (6) . DOI: https://doi.org/10.3390/sym17060885 | Impact Factor: 2.2
  • Virk, A. R., Shabbir, K., Barhoumi, S. (2025). "QSPR Analysis of Antiplatelet Agents and Dual Antiplatelet Therapy Using Labeled Based Topological Indices and Lagrange Interpolation Techniques." Punjab University Journal of Mathematics , Vol. 57 (4) , pp. 573-594. DOI: https://doi.org/10.52280/pujm.2025.57(04)04 | Impact Factor: 1
  • Hassan, W. U., Shabbir, K., Zeeshan A., Ellahi, R. (2025). "Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach." Chaos, Solitons & Fractals , Vol. 191 . DOI: https://doi.org/10.1016/j.chaos.2024.115927 | Impact Factor: 5.3 [Link]
  • Ahmad, K., Dolores-Cuenca, E. R., Shabbir, K. (2025). "Shuffle series." Journal of Algebraic Combinatorics , Vol. 61 (2) , pp. 1-40. DOI: https://doi.org/10.1007/s10801-025-01386-7 | Impact Factor: 0.6
  • Zafar, A. A., Sadiq, M. A., Shabbir, K., Guran, L. (2024). "A Computational Study of Vibrating System using the Constant Proportional Caputo Derivative Operator Approach." International Journal of Modern Physics C , Vol. 2024 . DOI: https://doi.org/10.1142/S0129183124502310 | Impact Factor: 1.89 [Link]
  • Iqbal, J., Shabbir, K., Guran, L., Emadifer, H. (2024). "A Novel Approach with Comparative Computational Simulation of Analytical Solutions of Fractional Order Volterra Type Integral Equations." International Journal of Differential Equations , Vol. 2024 , pp. 16. DOI: https://doi.org/10.1155/2024/8629461 | Impact Factor: 1.4
  • Zafar, A. A., Hussain, S., Shabbir, K. (2024). "Analysing MHD Heat-Mass Transfer model for Oldroyd-B Fluid Using Fractional Order Prabhakar Derivative." Journal of Prime Research in Mathematics , Vol. 20 (2) , pp. 10-29.
  • Shabbir, K., Raza, A., Guran, L. (2024). "Computation of Total Absolute Difference Edge Irregularity Strength of some Graph with n-pentagonal Pages and 3-regular Graph." Scientific Inquiry and Review , Vol. 8 (4) , pp. 80-92. DOI: https://doi.org/10.32350/sir.84.04
  • Hassan, W. U., Shabbir, K., Khan, I. M., Guran, L. (2024). "Computational Evaluation of Heat and Mass Transfer in Cylindrical Flow of Unsteady Fractional Maxwell Fluid Using Backpropagation Neural Networks and LMS." Mathematics , Vol. 2025 . DOI: https://doi.org/10.3390/math12233654 | Impact Factor: 2.3
  • Ahmad, K., Shabbir, K., Nazar, N., (2024). "Convergence Analysis of Picard Thakur Hybrid Iterative Scheme for $\alpha$-Nonexpansive Mappings in Uniformly Convex Banach Spaces." International Journal of Applied Mathematical Research , Vol. 13 (1) , pp. 34-48.
  • Afzal, W., Abbas, M., Shabbir, K. (2024). "Some new integral bounds for Godunova-Levin functions via fractional integral operators'', ``Open Journal of Mathematical Sciences." Open Journal of Mathematics , Vol. 8 , pp. 148-166. DOI: https://www.doi.org/10.30538/oms2024.0233
  • Iqbal, J., Shabbir, K., Guran, L. (2024). "Stability and convergence computational analysis of a new semi analytical-numerical method for fractional order linear inhomogeneous integro-partial-differential equations." Physica Scripta , Vol. 99 (12) . DOI: https://doi.org/10.1088/1402-4896/ad8d8f | Impact Factor: 2.6
  • Iqbal, J., Shabbir, K., Bucur, A., Zafar, A. A. (2023). "Analyzing the convergence of a semi-numerical-analytical scheme for non-linear fractional PDEs." Alexandria Engineering Journal , Vol. 78 , pp. 26-34. DOI: https://doi.org/10.1016/j.aej.2023.06.095 | Impact Factor: 6.8
  • Azam, M. K., Farooq, S. E., Ahmad, F., Iqbal, M., Shabbir, K., Rehman, M. A. (2023). "Applications of extended Hadamard K-fractional integral." Italian Journal of Pure and Applied Mathematics , Vol. 49 , pp. 29-44. [Link]
  • Abbas, M., Ahmad, K., Shabbir, K. (2023). "Approximation of Fixed Point of Multivalued Mean Nonexpansive Mappings in CAT(0) Spaces." Journal of Prime Research in Mathematics , Vol. 19 (1) , pp. 82-91.
  • Junjua, M. J. A., Shabbir, K., Naseem A., (2023). "Combinatorial Bounds of the Regularity of Elimination Ideals." Ars Combinatoria , Vol. 2023 , pp. 25-34. DOI: https://dx.doi.org/10.61091/ars156-3 | Impact Factor: 0.265
  • Guran, L., Ahmad, K., Shabbir, K., Bota, M.-F. (2023). "Computational comparative analysis of fixed point approximations of generalized $\alpha$-nonexpansive mappings in hyperbolic spaces." AIMS Mathematics , Vol. 8 (2) , pp. 2489-2507. DOI: https://doi.org/10.3934/math.2023129 | Impact Factor: 2.739
  • Waqar, A., Shabbir, K., Arshad, M., Asamoah,J. K. K., Galal, A. M. (2023). "Some Novel Estimates of Integral Inequalities for a Generalized Class of Harmonical Convex Mappings by Means of Center-Radius Order Relation." Journal of Mathematics , Vol. 2023 . DOI: https://doi.org/10.1155/2023/8865992 | Impact Factor: 1.555
  • Guran, L., Shabbir, K., Ahmad, K., Bota, M-F. (2023). "Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme." Fractal and Fractional , Vol. 7 (6) . DOI: https://doi.org/10.3390/fractalfract7060418 | Impact Factor: 3.5777
  • Afzal, W., Shabbir, K., Botmart, T. (2022). "Generalized version of Jensen and Hermite-Hadamard inequalities for interval-valued $(h_{1}, h_{2})$-Godunova-Levin functions." AIMS Mathematics , Vol. 7 (10) , pp. 19372-19387. DOI: http://doi.org/10.3934/math.20221064 | Impact Factor: 2.739
  • Afzal, W., Alb Lupas, A., Shabbir, K., (2022). "Hermite–Hadamard and Jensen-Type Inequalities for Harmonical $(h_{1}, h_{2})$-Godunova–Levin Interval-Valued Functions." Mathematics , Vol. 10 (16) . DOI: https://doi.org/10.3390/math10162970 | Impact Factor: 2.592
  • Zhang, X., Shabbir, K., Afzal, W., Xiao, H., Lin, D. (2022). "Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions." Journal of Mathematics , Vol. 2022 . DOI: https://doi.org/10.1155/2022/3830324 | Impact Factor: 1.5554
  • Afzal, W., Shabbir, K., Treanta, S., Nonlaopon, K. (2022). "Jensen and Hermite-Hadamard type inclusions for harmonical $h$-Godunova-Levin functions." AIMS Mathematics , Vol. 8 (2) , pp. 3303-3321. DOI: ttps://doi.org/10.3934/math.2023170 | Impact Factor: 2.739
  • Afzal, W., Shabbir, K., Botmart, T., Treanta, S. (2022). "Some new estimates of well known inequalities for $(h_{1}, h_{2})$-Godunova-Levin functions by means of center-radius order relation." AIMS Mathematics , Vol. 8 (2) , pp. 3101-3119. DOI: https://doi.org/10.3934/math.2023160 | Impact Factor: 2.739
  • Saeed, T., Afzal, W., Shabbir, K., Treanta, S., Sen, M. De la., (2022). "Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for $(h_{1},h_{2})$-Convex Functions Pertaining to Total Order Relation." Mathematics , Vol. 2022 (10) . DOI: https://doi.org/10.3390/math10244777 | Impact Factor: 2.592
  • Iqbal, J., Shabbir, K., Guran, L. (2022). "Stability Analysis and Computational Interpretation of an Effective Semi-Analytical Scheme for Fractional Order Non-Linear Partial Differential Equations." Fractal and Fractional , Vol. 6 (7) . DOI: https://doi.org/10.3390/fractalfract6070393 | Impact Factor: 3.577
  • Jia. J., Shabbir, K., Ahmad, K., Shah, n. A., Botmart, T. (2022). "Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications." Journal of Function Space , Vol. 1.807 . DOI: https://doi.org/10.1155/2022/4855173 | Impact Factor: 1.807
  • Yu, T. -M., Shahid, A. A., Shabbir, K., Li, Y.-M. (2021). "An iteration process for a general class of contractive-like operators, Convergence, stability and polynomiography." AIMS Mathematics , Vol. 6 (7) , pp. 6699-6714. DOI: https://doi.org/10.3934/math.2021393 | Impact Factor: 0.882 [Link]
  • Nizami, A. R., Shabbir, K., Sardar, M. S., Qasim, M., Cancan, M., Ediz, S. (2021). "Base polynomials for degree and distance based topological invariants of n-bilinear straight pentachain." Journal of Information and Optimization Sciences , Vol. 42 (7) , pp. 1479-1495. DOI: https://doi.org/10.1080/02522667.2021.1903202
  • Lv, Z., Junjua, M. J. A., Tahir, M. T., Shabbir, K., (2021). "Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs." Mathematical Problems in Engineering , Vol. 2021 . DOI: https://doi.org/10.1155/2021/3697430 | Impact Factor: 1.305
  • Raza, D.A., Alrowaili, Javaid, M., Shabbir, K. (2021). "Computing Bounds of Fractional Metric Dimension of Metal Organic Graphs." Journal of Chemistry , Vol. 2021 . DOI: https://doi.org/10.1155/2021/5539569 | Impact Factor: 1.726 [Link]
  • Lv, Y.-P, Shabbir, K., Sundus, S., Ali, F., Kafle, J. (2021). "Extragradient method for fixed points in CAT(0) spaces." Journal of Function Space , Vol. 2021 . DOI: https://doi.org/10.1155/2021/7808255 | Impact Factor: 1.807 [Link]
  • Farooq, S. E., Shabbir, K., Qaisar, S., AHmad, F., Almatroud, O. A., (2021). "New Inequalities of Simpson’s type for differentiable functions via generalized convex function." Comptes Rendus Mathematique , Vol. 359 (2) , pp. 137-147. DOI: https://doi.org/10.5802/crmath.152 | Impact Factor: 0.68 [Link]
  • Iqbal, J., Shabbir, K., Guran, L. (2021). "Semi-Analytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method." Journal of Function Space , Vol. 1.807 . DOI: https://doi.org/10.1155/2021/8345682 | Impact Factor: 1.807
  • Ghalib, N. M., Zafar, A. A., Riaz, M. B., Hammouch, Z. (2020). "Analytical approach for the steady MHD conjugate viscous fluid flow in a porous medium with nonsingular fractional derivative." Physics A , Vol. 2020 . DOI: https://doi.org/10.1016/j.physa.2019.123941 | Impact Factor: 2.50 [Link]
  • Ghalib, M., Zafar, A. A., Hammouch, Z., Riaz, M. B., Shabbir, K. (2020). "Analytical results on the unsteady rotational flow of fractional-order non-Newtonian fluids with shear stress on the boundary." Discrete and Continuous Dynamical Systems Series S , Vol. 13 (3) , pp. 683-693. DOI: https://doi.org/10.3934/dcdss.2020037 | Impact Factor: 0.976 [Link]
  • Zafar, A. A., Shabbir, K., Naseem, A., Ashraf, W. (2020). "MHD Natural Convection Boundary-layer Flow Over a Semi-Infinite Heated Plate with Arbitrary Inclination." Discrete and Continuous Dynamical Systems Series S , Vol. 13 (3) , pp. 1007-1015. | Impact Factor: 0.976 [Link]
  • Naseem, A., Shabbir, K. (2020). "The radio number for wedge sum of graphs." Ars Combinatoria , Vol. 151 , pp. 109-122. | Impact Factor: 0.265 [Link]
  • J.-B. Liu, J.-B., Javed, S., Javiad, M., Shabbir, K. (2019). "Computing first general Zagreb index of operations on Graphs." IEEE Access , Vol. 7 (1) , pp. 47494-47502. | Impact Factor: 4.098 [Link]
  • Shabbir, K., Shahzad, U. (2019). "Engineering Adjoint Hypermultiplet." Europian Physics Journal Plus , Vol. 2019 , pp. 9. | Impact Factor: 2.240 [Link]
  • Naseem, A., Shabbir, K., Rezwan, M. (2019). "Further results on radio number of wedge sum of graphs." Ars Combinatoria . | Impact Factor: 0.265
  • Shabbir, K. (2019). "M-Strings and (0,2) Sigma Model Anomaly." International Journal of Modern Physics A , Vol. 34 (10) , pp. 8. DOI: https://doi.org/10.1142/S0217751X19500581 | Impact Factor: 1.7 [Link]
  • Iftikhar, N., Baleanu, D., Husnine, S. M., Shabbir, K. (2019). "Magnetohydrodynamic mixed convection flow of Jeffery fluid with Thermophoresis." Soret and Dufour effects and convective condition, AIP Advances , Vol. 9 (3) , pp. 9. | Impact Factor: 1.653 [Link]
  • Junjua, M. J. A., Shabbir, K., Naseem, A. (2019). "Regularity of elimination ideals of certain family of graphs." Ars Combinatoria , Vol. 2019 . | Impact Factor: 0.265
  • Tang, J-H., Ali, U., Javaid, M., Shabbir, K. (2019). "Zagreb Connection Indices of Subdivision and Semi-Total Point Operations on Graphs." Journal of Chemistry , Vol. 2019 . | Impact Factor: 1.76 [Link]
  • Naseem, A., Shabbir, K., Shaker, H. (2018). "Radio Number of Edge Joint Graphs." Ars Combinatoria , Vol. 139 , pp. 337-351. | Impact Factor: 0.265 [Link]
  • Anwar, I., K. Shabbir, K. (2017). "A Note on: Quasi-Linear Quotients and Shellability of pure Simplicial Complexes." Communications in Algebra , Vol. 46 (2) , pp. 850. DOI: https://doi.org/10.1080/00927872.2017.1327599 | Impact Factor: 0.481
  • Shabbir, K. (2017). "Compactified webs and domain wall partition functions." European Physics Journal C , Vol. 77 (4) , pp. 6. DOI: https://doi.org/10.1140/epjc/s10052-017-4809-6 | Impact Factor: 5.172 [Link]
  • Iqbal, A., Qureshi, B. A., Shabbir, K. (2016). "(q,t) identities and vertex operators." Modern Physics Letters A , Vol. 31 (11) , pp. 9. DOI: https://doi.org/10.1142/S0217732316500656 | Impact Factor: 1.338 [Link]
  • Riaz, M. B., Imran, M. A. , Shabbir, K. (2016). "Analytic solutions of Oldyrod-B Fluid with fractional derivatives in a circular duct that applies a Constant Couple." Alexandria Engineering Journal , Vol. 55 , pp. 3267-3275. DOI: https://doi.org/10.1016/j.aej.2016.07.032 | Impact Factor: 3.696 [Link]
  • Iqbal, A., Shabbir, K. (2016). "Elliptic CY3folds and non- pertubative modular transformation." European Physics Journal C , Vol. 76 (3) , pp. 3267-3275. DOI: https://doi.org/10.1140/epjc/s10052-016-4006-z | Impact Factor: 5.172
  • Iqbal, A., Shabbir, K. (2016). "M-strings and transverse orbifold." European Physics Journal C , Vol. 76 (11) , pp. 6. DOI: https://doi.org/10.1140/epjc/s10052-016-4453-6 | Impact Factor: 5.172 [Link]
  • Riaz, M. B., Imran, M. A., Shabbir, K. (2016). "New Exact Solutions for the Flow of Generalized Maxwell fluid." J. Comput. Theor. Nanosci. , Vol. 13 (8) , pp. 5254-5257. DOI: https://doi.org/10.1166/jctn.2016.5410 | Impact Factor: 1.665 [Link]
  • Iqbal, A., Qureshi, B. A., Shabbir, K. , Shehper, M. A. (2015). "Brane Webs and Random Processes." International Journal of Modern Physics A , Vol. 30 (33) , pp. 12. DOI: https://doi.org/10.1142/S0217751X15502024 | Impact Factor: 1.7 [Link]
  • Shabbir, K. (2015). "Detection Of the Torsion Classes in the Brieskorn Modules Of Homogeneous Polynomials." Revista de la Unión Matemática Argentina , Vol. 56 (2) , pp. 85-94. | Impact Factor: 0.517
  • Iqbal A., Khan, A. Z., Qureshi, B. A., Shabbir, K. , Shehper, M. A. (2015). "Topological field theory amplitudes for A_{N−1} fibration." Journal of High Energy in Physics , Vol. 12 , pp. 22. DOI: https://doi.org/10.1007/JHEP12(2015)017 | Impact Factor: 6.023 [Link]
  • Aroca, F., Gomez-Morales, M., K. Shabbir. K. (2013). "Torical Modication of Newton non-degenerate Ideal." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas , Vol. 107 , pp. 221-239. DOI: https://doi.org/10.1007/s13398-012-0100-8 | Impact Factor: 1.074 [Link]
  • Iqbal, A., Kozcaz,C., Shabbir, K. (2010). "Refined Topological Vertex, Cylindric Partitions and the U(1) Adjoint Theory." Nuclear Physics B , Vol. 838 (3) , pp. 422-457. DOI: https://doi.org/10.1016/j.nuclphysb.2010.06.010 | Impact Factor: 3.735 [Link]
  • Shabbir, K. (2008). "On the Torsion of Brieskorn Modules of Homogeneous Polynomials." Rendiconti del Seminario Matematico della Università di Padova , Vol. 120 , pp. 147- 156. | Impact Factor: 0.48

Books (Complete)

  • Shabbir, K. (2009). Milnor Algebras and Brieskorn Modules of Homogeneous Polynomials: Study of Torsion classes in the Brieskorn Modules , 1 ed. "Lambert Academy Publishers" , ISBN: 0978383831286 [Link]

Book Chapters

  • Shabbir, K., Ahmad, K., Guran, L. (2024). xistence and Computational Approximation of Fixed Points of Generalized Multivalued Mappings in Banach Spac , Chapter #13. In Recent Developments in Fixed-Point Theory (pp.301-325). Mudasir Younis, Lili Chen, Deepak Singh Springer Singapore. ISBN: 9789819995462

Projects

Title Role Funded by Amount Year Status
Extragradient Methods for Solving the Fixed Point Problems Principal Investigator ORIC GCU Lahore 300000.00 2025 Completed
Open String Amplitudes and Elliptic Genera Principal Investigator NRPU 20-7359 2500000.00 2021 Completed

Awards/Achievements

  • Grant (2023), Western University of Arad, Romania. ``Vasile Goldis” Western University of Arad, Romania, research visit with travel and accommodation grant from research project, 2023.
  • KBK ALJABAR UIN WALOSONGO SEMARANG (2023), KBK ALJABAR UIN WALOSONGO SEMARANG-Indonesia. KBK ALJABAR UIN WALOSONGO SEMARANG-Indonesia 2023 (Online)
  • NRPU Project (2019), NRPU HEC Pakistan. Award grant of 2.14 million (PKR) as sole principal Investigator, against National Research Program for Universities (NRPU-HEC) project 2019-2021, Feb 13th, 2019.
  • Conference/School of ICTP (2015), Conference/School of ICTP. Grant for Conference/School Advanced School and Workshop on Geometry of Discrete Actions, ICTP, Trieste, Italy, August 24th- September 4th, 2015.
  • Postdoctoral Fellowship (2015), Universidade de Sao Paulo, Brazil. Postdoctoral Fellowship 2, Offered in ICMC, Universidade de Sao Paulo, Brazil, August 12th, 2015.
  • CIMPA School (2014), CIMPA School. Grant for CIMPA School in Algebraic Geometry and Number Theory, Istanbul, Turkey, 2014.
  • CIMPA School (2014), CIMPA School. Grant for CIMPA School in School and Workshop on Singularities in Geometry, Topology, Foliations and Dynamics, CIMPA School Instituto de Matemáticas de la Universidad Nacional Autónoma de México (Unidad Cuernavaca), Mexico, November 24th-December 19th, 2014.
  • CIMPA School (2014), CIMPA. Travel grant of 1500 USD for CIMPA School, Istanbul, Turkey by CLAY Institute of Mathematics USA, 2014.
  • CIMPA School (2013), CIMPA School. Travel grant of CIMPA School in Geometry and Topology of Singular Varieties. Theory and Applications, Hanoi, Vietnam, December 2nd-14th, 2013.
  • Grant of UNAM (2012), Mexico, Academic visit to University of Saskatchewan,. Research Grant of UNAM, Mexico, Academic visit to University of Saskatchewan, Canada, 2000 USD, 2012
  • Grant of UNAM, Mexico (2012), Science Faculty, Mount Royal University, Calgary, Canada. Research Grant of UNAM, Mexico, Science Faculty, Mount Royal University, Calgary, Canada, 2012.
  • Conference/School of CIMAT (2011), Conference/School of CIMAT. Grant for Conference/School of CIMAT, Mexico, 2011
  • Postdoctoral Fellowship (2011), Universidad Nacional Autónoma de México, Mexico. Postdoctoral Fellowship 1, Universidad Nacional Autónoma de México, Mexico, March 2011–2012. Advisor: Prof. Dr. Jose Seade (Universidad Nacional Autónoma de México, Mexico).
  • Postdoctoral Scholarship (2011), CONACYT. Postdoctoral Scholarship by CONACYT (23000 USD), Mexico, 2011-2012.
  • Postdoctoral scholarship (2011), TWAS. Postdoctoral scholarship by TWAS (3000 USD), 2011-2012
  • Summer School \& Conference ICTP (2010), Conference/School of ICTP Summer School \& Conference. Grant for Conference/School of ICTP Summer School \& Conference on Hodge Theory and Related Topics, Trieste, Italy, June 14th- July 2nd, 2010.
  • Conference/School of ICTP (2009), Conference/School of ICTP. Grant for Conference/School of ICTP Advanced School and Conference on Knot Theory and its Applications, Trieste, Italy, May 11th - 29th, 2009
  • Invited Lecture (2009), University of Vienna, Vienna, Austria. Grant for invited lecture Some Algebraic and Geometric Invariants, University of Vienna, Vienna, Austria, 2009.
  • Invited Lecture (2009), Johannes Kepler Universität, Linz, Austria. Grant for invited lecture Guass-Manin Connections \& Torsion Class of Brieskorn Modules, Johannes Kepler Universität, Linz, Austria, 2009.
  • Arrangements, Local systems and Singularity Theory (2007), CIMPA School. Grant of CIMPA School on Arrangements, Local systems and Singularity Theory, Istanbul, Turkey, 2007.
  • Configuration Spaces and Applications (2007), CIMPA School. Grant of CIMPA School on Configuration Spaces and Applications, Lahore, Pakistan, February 12th-18th, 2007.
  • Grant of CIMPA School on New Trends in Singularity Theory (2006), CIMPA School. Grant of CIMPA School on New Trends in Singularity Theory, Madrid, Spain, 2006.
  • Doctoral Scholarship (2004), HEC and Punjab Government. Doctoral Scholarship of HEC and Punjab Government, 2004-2008

Thesis/Research Supervisions

  • Khushdil Ahmad (2025), Ph.D.. Thesis: "Posets in the Intersection of Combinatorics and Category Theory" (In Progress)
  • Momina Babar (2025), BS. Thesis: "Graph theoretical Analysis of Sudoku Structure, properties and Application" (Completed)
  • Waqar Ul Hassan (2025), Ph.D.. Thesis: "Heat and Mass transfer Models for Non-Newtonian Fluids in Cylindrical Domains with Fractional Derivatives" (Completed)
  • Zunaira Sayed (2025), BS. Thesis: "Enhancing Cryptographic Keys Using Tropical Algebra" (Completed)
  • Beenish Zafar (2024), MS/MPhil. Thesis: "Exploring the Combinatorial Properties of Posets and Integer Partitions" (Completed)
  • Inaam-Ur-Rehman (2024), MS/MPhil. Thesis: "Exploring Fractional Differential Equations through Orthogonal Neural networks" (Completed)
  • Javed Iqbal (2024), Ph.D.. Thesis: "Convergence and Stability Analysis for Some Fractional Order Nonlinear Models" (Completed)
  • Khadija Ahsan (2024), MS/MPhil. Thesis: "Extra Gradient Techniques for Solving Some Problems in Fixed Point Theory" (Completed)
  • Mubashar Hussain (2024), MS/MPhil. Thesis: "Solving Linear Delay Differential Equations Using Operational Matrices with Extreme Learning Machine Algorithm" (Completed)
  • Tooba Zahoor (2024), BS. Thesis: "Syzygy Conditions over a polynomial ring" (Completed)
  • Yashfa Javed (2024), BS. Thesis: "Computation of Gröbner basis for Ideals over finite rings" (Completed)
  • Ahmad Raza (2023), MS/MPhil. Thesis: "Computing Total Absolute Difference Edge Irregularity Strength of Some Families of Graphs" (Completed)
  • Ayesha Saleem (2023), BS. Thesis: "On Some Combinatorial Properties of Matroids" (Completed)
  • Ayesha Saleem (2023), BS. Thesis: "On Some Combinatorial Properties of Matroids" (Completed)
  • Faraz Ali (2023), MS/MPhil. Thesis: "On the Stability and Convergence for the Jungck-Type Iterative Schemes" (Completed)
  • Hina Saeed (2023), MS/MPhil. Thesis: "Radical Ideal Based Zero Divisor Graph of a Commutative Ring" (Completed)
  • M. Junaid Akram (2023), MS/MPhil. Thesis: "Algebraic Integers of Pure Quintic Extensions" (Completed)
  • Muhammad Afzaal (2023), MS/MPhil. Thesis: "On $S\alpha rw$ - Compactness, $S\alpha rw$ -Connectedness and Separation Axioms in Topological Spaces" (Completed)
  • Ramzan Afzal (2023), MS/MPhil. Thesis: "On Rogers-Ramanujan Identities and Their Properties" (Completed)
  • Rizwan Ali (2023), MS/MPhil. Thesis: "Milnor Fibrations and Regularity Conditions for Real Analytic Mappings" (Completed)
  • Zaheer Hussain (2023), MS/MPhil. Thesis: "Computation for Lucky Number of Some Families of Planar Graphs" (Completed)
  • Muhammad Tayyab Shafiq (2022), MS/MPhil. Thesis: "On NH-Number of Neighborhood Complexes" (Completed)
  • Nazia Nazar (2022), MS/MPhil. Thesis: "Approximating Fixed Points of Generalized $\alpha$-Nonexpansive Mappings in Uniformly Convex Banach Spaces" (Completed)
  • Aftab Zafar (2021), MS/MPhil. Thesis: "Hermite-Hadamard and Jensen-type inequalities for interval valued generalized non-convex functions" (Completed)
  • Ahsan Iqbal (2021), MS/MPhil. Thesis: "Novel concepts of doubt bipolar fizzy fantastic ideals in BN-algebra" (Completed)
  • Aleeha Ijaz (2021), BS. Thesis: "Some properties of Bessel functions" (Completed)
  • Amad Adrees (2021), MS/MPhil. Thesis: "Jensen, Hermit-Hadamard and Ostrowski type inequalities for generalized class of stochastic convex functions" (Completed)
  • Amir Rasheed (2021), MS/MPhil. Thesis: "Characteristics of arithmetic functions and their graphs" (Completed)
  • Hamzah Naseer (2021), BS. Thesis: "A review of Fejér–Hadamard inequality for harmonically convex functions" (Completed)
  • Junaid Akram (2021), BS. Thesis: "A review of Hermite-Hadamard and Jensen-type inequalities for non-convex functions" (Completed)
  • Muhammad Tajammal Tahir (2021), MS/MPhil. Thesis: "Algebraic characterization of elimination ideals associated to graphs" (Completed)
  • Saira Bano (2021), BS. Thesis: "Some properties of $\eta$-convex stochastic processes" (Completed)
  • Waqar Afzal (2021), MS/MPhil. Thesis: "Hermite-Hadamard and Jensen-type inequalities for generalized interval valued $(h)1,h_2)$ Godunova-Levin functions" (Completed)
  • Fareeha Yaqub (2020), BS. Thesis: "Some inequalities for s-convex functions" (Completed)
  • Muhammad Jahangir Jalal (2020), MS/MPhil. Thesis: "On m-polar (a,b)-fuzzy positive implicative ideals in BCK-algebras" (Completed)
  • Rabbia Ashfaq (2020), BS. Thesis: "Cryptography and network security" (Completed)
  • Shan e Farooq (2020), MS/MPhil. Thesis: "Simpson’s and Katugampola Fractional Integral Inequalities and their Applications" (Completed)
  • Wardah (2020), MS/MPhil. Thesis: "Regularity Bounds of Elimination Ideals" (Completed)
  • Zuha Idrees (2020), BS. Thesis: "Hermite-Hadamard type inequalities for $h$-convex stochastic processes" (Completed)
  • Bisma Ijaz (2019), BS. Thesis: "Graph Theory in Sudoku" (Completed)
  • Hafiza Fasiha Faiz (2019), BS. Thesis: "Some topics in tropical algebra" (Completed)
  • Muhammad Qasim (2019), MS/MPhil. Thesis: "Schultz Invariants of Linear Pentachains" (Completed)
  • Sania Nasir (2019), MS/MPhil. Thesis: "Hydro-magnetic free convection flow of second grade fluid over an inclined infinite plate" (Completed)
  • Serosh Jameel (2019), BS. Thesis: "A review of topological groups" (Completed)
  • Warda Shoukat (2019), MS/MPhil. Thesis: "Comparison of Analytical Solution of a Maxwell Fluid with Slip Effects in view of the Caputo and Atangana Baleno Derivatives" (Completed)
  • Ghulam Mustafa (2018), BS. Thesis: "On commutative rings graded by groups" (Completed)
  • Hamza Saeed (2018), BS. Thesis: "On reconstruction of extremal trees" (Completed)
  • Muhammad Adeel Ashraf (2018), BS. Thesis: "Factorability in qudratic number fields" (Completed)
  • Arooj Fatima (2017), BS. Thesis: "On Rainbow Coloring and Rainbow Connection Number of Some Trees" (Completed)
  • Eram Shahzadi (2017), BS. Thesis: "Coloring and Chromatic Polynomial of Cycle Type Graphs" (Completed)
  • Hafiz Abdul Rehman (2017), BS. Thesis: "Computing the Metric Dimension of Wheel-like Graphs" (Completed)
  • Hassan Mabroor (2017), MS/MPhil. Thesis: "On Characterization of f- ideals" (Completed)
  • Muhammad Rehman (2017), MS/MPhil. Thesis: "On Grobner Bases of Balanced Polyominoes, ideals" (Completed)
  • Nusrat Mehdi (2017), BS. Thesis: "Some Facts about Power Graph" (Completed)
  • Hira Rashid (2016), BS. Thesis: "On Topological Uniform Structures" (Completed)
  • Mehwish Mubeen (2016), BS. Thesis: "Introduction to Finite Element Analysis" (Completed)
  • Noor Fatima (2016), BS. Thesis: "Continued Fractions and Euclidean Algorithm" (Completed)
  • Sana Latif (2016), BS. Thesis: "Introduction to Interval Analysis" (Completed)
  • Zunaira Tahir (2016), BS. Thesis: "Orthogonal Polynomials and their Applications" (Completed)
  • Eman Haider (2015), MS/MPhil. Thesis: "On the chromaticity of Ladders" (Completed)
  • Fizza Miraj (2015), BS. Thesis: "Multiplicative Functions and Mobius Inversion Formula" (Completed)
  • Kainat Akbar (2015), BS. Thesis: "Non-linear Diophantine Equations" (Completed)
  • Fatima Gul (2014), BS. Thesis: "Eulerian and Hamiltonian Graphs" (Completed)
  • Maryam Yousaf (2014), BS. Thesis: "On some Fixed Point Theorem" (Completed)
  • Sabiha Tariq (2014), BS. Thesis: "Mathematical Models for Inventory Management" (Completed)
  • Shumaila Naseer (2014), MS/MPhil. Thesis: "Face Anti-magic Labeling of Graphs" (Completed)
  • Madeeha Javed (2013), MS/MPhil. Thesis: "Topological Invariants of Fiber of Mixed polynomial" (Completed)
  • Madiha Irfan (2013), BS. Thesis: "Fundamental Theorem of Tropical Algebra" (Completed)
  • Madiha Irfan (2013), BS. Thesis: "Fundamental Theorem of Tropical Algebra" (Completed)
  • Maham Zahra (2013), BS. Thesis: "Ramsey Number of Graph" (Completed)
  • Malik Qudratullah (2013), BS. Thesis: "Tropical Meromorphic Functions" (Completed)
  • Sadaf Naveed (2009), MS/MPhil. Thesis: "Some Estimates of Hardy Type inequalities" (Completed)