Mathematics Department

WELCOME TO THE MATHEMATICS DEPARTMENT
COMSATS University Islamabad, Lahore Campus

Chair's Column

Ralf Schmidt

The Mathematics Department at COMSATS University Islamabad, Lahore Campus recognizes the growing significance of Mathematics in the light of advancements in science and the pervasive influence of digital systems in our daily lives. To meet the challenge of staying updated, the department is dedicated to providing excellent teaching services to all departments, offering a comprehensive range of courses from fundamental to advanced levels.

At COMSATS University Islamabad, Lahore Campus, the Department of Mathematics is dedicated to providing excellent teaching services to all other departments. We offer programs such as BS Mathematics, MS Mathematics, and PhD Mathematics, covering a range of fundamental and advanced courses. Our faculty members are committed to imparting a deep understanding of the subject through effective problem-solving skills. Our faculty members are actively engaged in research across pure, applied, and computational mathematics, maintaining high research standards. The department fosters a vibrant research environment and collaborates with mathematicians globally. Throughout the year, we organize seminars, schools, conferences, and workshops to facilitate academic growth.

The department has added a specialization in Information Technology and Financial Mathematics to the BS Mathematics Program to meet the specialized demands of students for IT and finance. The students who pursue this specialization will be prepared for careers in fields like Software Development, Data Science, Cybersecurity, Banking, Insurance, Investment Firms, and Financial Consulting.

The department has also enjoyed success with a joint MS program in collaboration with ICTP-Italy. So far, 40 students have completed their MS degrees, and 20 students have been awarded scholarships to pursue further studies in renowned international universities of Italy, France, Ireland and USA.

We invite students and researchers to join our department and explore the fascinating world of mathematics, where endless possibilities await.





Prof. Dr. Kashif Ali
Head, Department of Mathematics,

2022-2023 Highlights

Appointed as chairman mathematics- Prof. Dr. Sarfraz Ahmad

Ralf Schmidt

Prof. Dr. Sarfraz Ahmad has recently taken on the role of Chairman for the Mathematics Department. He not only excels in academia but also exemplifies leadership. Through teaching, research, international collaboration, and mentorship, he significantly advances the field within his institution and beyond.

He earned his Ph.D. from the Abdus Salam School of Mathematical Sciences, Pakistan, with a focus on Combinatorial Commutative Algebra. He did his post-doctoral research at Philipps-Universität Marburg, Germany.

Prof. Ahmad's academic trajectory includes roles as an Assistant Professor and Associate Professor at COMSATS Institute of Information Technology, Lahore. This journey culminated in his ascent to Associate Professor at COMSATS University Islamabad, Lahore Campus. His abiding passions are teaching and impactful research in Combinatorics, Graph Theory, and Algebraic Statistics.

Prof. Ahmad's research initiatives have secured funding from the Higher Education Commission of Pakistan. Projects investigating Ranking Ideals and Subdivided Complexes underscore his impactful contributions. He also leads as National Principal Investigator for the Graduate Research Assistantships in Developing Countries (GRAID) project, funded by IMU, Germany.

His scholarly contributions extend to numerous publications, including the book "Sequentially Cohen-Macaulay and Regularity of Monomial Ideals," and 35 journal papers.

Exciting Additions to BS Mathematics Program: Newly Approved Specializations for Enhanced Academic Pathways

COMSATS Lahore Campus is pleased to announce the introduction of two distinct specializations in the BS Mathematics program: Information Technology and Finance. This initiative aims to offer students a remarkable opportunity to combine their passion for Mathematics with the rapidly evolving fields of Information Technology and Finance. By integrating these specialized areas into the curriculum, we aim to equip students with a comprehensive skill set that aligns with the demands of the modern era. The inclusion of Information Technology will enable students to gain proficiency in the utilization of advanced technological tools and software, fostering their ability to analyze and interpret complex mathematical data. This specialization will enable students to explore the integration of mathematics and technology, allowing them to pursue diverse career paths in areas such as data analysis, computer science, and software engineering.

Moreover, the Finance specialization will provide students with an understanding of the fundamental principles of finance and its application to mathematical models. This knowledge will empower students to excel in finance-related roles, including investment analysis, risk management, and financial planning. By integrating finance into the BS Mathematics program, we aim to create well-rounded professionals who can bridge the gap between mathematics and the financial sector, contributing effectively to both disciplines.

By offering these explicit specializations, COMSATS Lahore Campus seeks to provide a conducive environment for students to pursue their academic and professional aspirations. We believe that this program will enable students to leverage their mathematical skills in the context of Information Technology and Finance, ensuring their competitiveness and adaptability in a rapidly evolving job market.
We invite students to seize this wonderful opportunity and embark on a rewarding educational journey that combines their passion for mathematics with the ever-expanding domains of Information Technology and Finance.

Congratulations to all the winners and participants!

CIMPA school on Recent Advances in Combinatorics and its Application is scheduled

The school provided an introduction to both basic and advanced concepts in combinatorics, primarily targeting Master's level students. It assumed a reasonable general mathematical background but did not require previous specialized knowledge in the covered topics. The scientific content of the courses was tightly coordinated, offering a concrete learning experience as a foundation for further study.

The material was motivated by an overview of the field and discussions of main open problems. It mainly consisted of relatively simple cases, allowing students to learn specific proof techniques. A significant amount of time was dedicated to exercise and tutorial sessions, where students received individual attention from the lecturers. The first week of the school consisted of four introductory courses covering graph colorings and labeling, F-convexity and related problems, Cayley graphs, and the degree-diameter problem. The second week focused on more advanced topics, including tropical convexity, combinatorics, and commutative algebra, metric spaces over groups, Neumaier graphs, and signed and addressing graphs. The final course discussed new bounds for strongly regular graphs, recent progress on Neumaier graphs, and open problems in signed and addressing graphs.

CIMPA School Lectures

Colourings and Labelings of Graphs

Andrea Semaničová-Feňovčíková (Technical University in Košice, Slovakia)

On F-convexity and Related Problems

Liping Yuan (Hebei Normal University,China)

Cayley Graphs and the Degree-Diameter Problem

Tomas Vetrik (University of the Free State, South Africa)

Metric Dimension Related Parameters in Graphs

Yero Ismael Gonzalez (Universidad de Cádiz, South Africa)

On Neumaier, Signed and Adressing Graphs

Jack Koolen (University of Science and Technology of China, China)

Computational Workshop: Graph Based Codes with SAGEMath

Edgar Martínez-Moro (University of Valladolid, Castilla, Spain)

Matrices, Graph Labelings, and Ramsey Numbers

Rinovia Simanjuntak (Institut Teknologi Bandung, Indonesia)

Spectrum Related Invariants of Graphs

Muhammad Imran (U. A. E)

1st Inter-Colleges Mathematical Contest

The mathematics department at COMSATS University Islamabad, Lahore Campus has announced the contesting event 1st Inter-Colleges Mathematical Contest in the campus. The contest is designed to promote mathematics and generate interest among intermediate collage’s students. It provides an excellent opportunity for them to show their mathematical skills and abilities. The contest will consist of multiple types questions that will challenge the students to apply their mathematical knowledge, including algebra, geometry, and calculus, to solve them within a specific time frame. The event holds tremendous potential for students to advance their future studies and pursue careers in mathematics and related fields.

The material was motivated by an overview of the field and discussions of main open problems. It mainly consisted of relatively simple cases, allowing students to learn specific proof techniques. A significant amount of time was dedicated to exercise and tutorial sessions, where students received individual attention from the lecturers. The first week of the school consisted of four introductory courses covering graph colorings and labeling, F-convexity and related problems, Cayley graphs, and the degree-diameter problem. The second week focused on more advanced topics, including tropical convexity, combinatorics, and commutative algebra, metric spaces over groups, Neumaier graphs, and signed and addressing graphs. The final course discussed new bounds for strongly regular graphs, recent progress on Neumaier graphs, and open problems in signed and addressing graphs.

Faculty Promotions


Dr. Kashif Nazar promoted as Associate Professor


Dr. Kashif Nazar successfully attained his M.Sc. degree from the University of the Punjab, Lahore, Pakistan, in the year 2002. Subsequently, he embarked on a trajectory of academic progression, culminating in the acquisition of his M.S. degree from Lahore University of Management Sciences (LUMS), Lahore, in 2007. This educational pursuit further augmented his proficiency within the domain.
His academic odyssey culminated with the conferral of a Ph.D. in mathematics by Malaysia's Universiti Teknologi Malaysia in 2016. Subsequently, Dr. Kashif Nazar held the designation of Assistant Professor within the Department of Mathematics at Comsats University Islamabad, Lahore Campus, from the year 2007 until May 22nd, 2022.
The focal points of Dr. Kashif Nazar's scientific inquiries orbit around the realms of applied and computational complex analysis. In totality, his scholastic achievements, pedagogical undertakings, and research proclivities converge to manifest his unwavering commitment to the field of mathematics, with a particular emphasis on the facets of applied and computational complex analysis.


Dr. Rabia Saleem promoted as Associate Professor


Dr. Rabia Saleem has assumed the role of Assistant Professor at the Lahore campus of the Comsats University Islamabad (CUI) since 2017. Her primary research domain centers on General Relativity and Cosmology, and her academic contributions encompass the dissemination of over 60 research papers across esteemed high-impact factor journals, collectively amassing an impact factor of 185.
Dr. Saleem's scholarly pursuits encompass a diverse array of themes within Cosmology and Astrophysics. These encompass subjects such as Cosmic Inflation, the Phenomenon of an Expanding Universe, Models pertaining to Dark Energy, Compact Stellar Objects, and Thermodynamics, among others.
Her pedagogical leadership is reflected in the supervision of 20 Master's level students, while her mentorship extends to the oversight of 3 doctoral candidates presently under her tutelage.
In 2019, Dr. Saleem garnered distinction through her selection as a Young Scientist representative from Pakistan to participate in the 69th Lindau Nobel Laureates Meeting—a globally renowned confluence that brought together 580 emerging scholars from across the world for interaction with 39 laureates of the Nobel Prize.
Further attesting to her academic distinction, she was chosen to partake in the 8th Heidelberg Laureate Forum in 2021, further enriching her engagement within the academic community.
Her prominence in the academic sphere is underscored by her designation as a Young Affiliate of The World Academy of Sciences (TWAS) for the quadrennial period spanning 2022 to 2026, thereby perpetuating her commitment to advancing the frontiers of scientific knowledge and scholarship.


Dr. Sadia Khalid promoted as Associate Professor


Dr. Sadia Khalid attained her Ph.D. in 2014 from the Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan. Her academic journey was further enriched by her pursuit of a post-Doctorate degree in 2016 from the University of Zagreb, Croatia. In 2017, she assumed the role of Assistant Professor within the Department of Mathematics at COMSATS University Islamabad, Lahore Campus. She was promoted to the position of Associate Professor in the year 2023.
Throughout her distinguished career, a research project under her stewardship was endorsed in 2022, earning the distinction of being approved within the esteemed framework of the National Research Program for Universities by the Higher Education Commission of Pakistan. Her scholarly endeavors have culminated in the publication of 35 research articles within internationally acclaimed journals.


Dr. Hafiz Afzal Siddiqui promoted as Associate Professor


Dr. Hafiz Afzal Siddiqui accomplished his Ph.D. in Mathematics from the esteemed National University of Sciences and Technology (NUST), Islamabad, in 2015. Under the tutelage of Dr. Muhammad Imran, his doctoral research was concentrated on Metric Graph Theory. His research interests within the realm of graph theory encompass a wide spectrum, including topics such as resolvability in graphs, graph labelings, topological invariants of chemical graphs, spectra of graphs, and chromatic spectra of graphs.
Throughout his academic voyage, Dr. Afzal has garnered an array of notable achievements and accolades. He was privileged to receive a distinctive research scholarship from the National University of Sciences and Technology, Islamabad, Pakistan, spanning the years 2014 to 2015. Additionally, during his tenure at the university from 2012 to 2015, he merited a fee waiver based on his academic excellence. In 2011, he was given a travel grant and residency by ICTP (Italy) to facilitate a one-month research visit, during which he participated in a workshop and conference focused on Graph Theory.


Dr. Mohsan Hassan promoted as Associate Professor


Dr. Mohsan Hassan earned his PhD in Applied Mathematics from the International Islamic University Islamabad, Pakistan, where he conducted research on convection flows in nanofluids. His exceptional dedication to both teaching and research has been acknowledged through his recent elevation to the position of Associate Professor at Comsats University Islamabad, Lahore Campus, Pakistan.
Before his promotion, he served as an Assistant Professor (TTS) at the same university, contributing significantly to the academic community from 2017 to 2023. He has also been engaged as an Assistant Professor at HITEC University, Cantt Taxila, and Barani Institute of Information Technology (PMAS Arid Agriculture University Rawalpindi). With a fervent commitment to education, he has delivered a diverse range of courses at both undergraduate and graduate levels.
Dr. Mohsan Hassan's expertise extends into prolific research endeavors. He has authored and co-authored over 50 research papers and has taken on the mantle of Principal Investigator and Co-Principal Investigator for several projects. His expertise particularly shines in areas encompassing nanofluids, non-Newtonian fluids, heat and mass transfer, and the solution of differential equations. His contributions have notably influenced the field of applied mathematics, enriching the understanding of complex phenomena.


Dr. Sadia Arshad promoted as Associate Professor


Dr. Sadia Arshad holds the position of Associate Professor of Mathematics at COMSATS University Islamabad, Lahore Campus. She obtained her Ph.D. degree in Mathematics in 2013, following her previous accomplishment of a BS (Hons) degree in 2008, for which she was awarded a Gold Medal by the University of the Punjab.
During the period spanning 2015 to 2017, Dr. Arshad assumed the role of a Post-Doctoral Fellow at the esteemed Chinese Academy of Sciences. Her academic pursuits are deeply rooted in a range of interests, including computational modeling, differential equations, numerical methods, and fractional calculus. The application of mathematical modeling is invaluable in comprehending the intrinsic structure and dynamics of real-world systems. Moreover, the domain of fractional calculus, rapidly advancing, holds her attention due to its multifaceted utility in control theory, biological systems, medicine, epidemiology, experimental data fitting, and various other pivotal arenas within the scientific and engineering realms.


Dr. Syed Tahir Raza Rizvi promoted as Associate Professor


Dr. Syed Tahir Raza Rizvi completed his PhD in Mathematics at COMSATS University Islamabad, Lahore Campus, Pakistan. Prior, he earned an M.Phil from the University of Engineering and Technology, Lahore. Presently a Tenured Associate Professor at COMSATS, he previously worked as an Assistant Professor there from 2016 to 2023, and as a Lecturer at COMSATS and Allama Iqbal Open University.
Dr. Rizvi's research interests span Multiple Solitons, Nonlinear Waves, Mathematical Biology, Conservation Laws, and Bifurcation. He studies diverse solitons, such as Lump waves and Rogue Waves, along with applying mathematical concepts to comprehend biological systems, explore conservation laws, and analyze bifurcations. His 200 papers contribute significantly, with an Impact Factor over 500 and an H-Index of 34, supported by 3828 Scopus citations. He has supervised three PhDs and 24 MS students.


Dr. Madiha Khalid promoted as Assistant Professor


Madiha Khalid is an accomplished Assistant Professor in CUI's Department of Mathematics, Lahore. Her PhD specialized in Graph Theory, Operations Research, and Numerical Analysis, completed at CUI from September 2012 to January 2019. She also holds an M.Phil from UET, Lahore (September 2004 to July 2008).
Madiha's exceptional dedication and teaching prowess led to her recent promotion as Assistant Professor. Her research contributions grace reputable journals like Utilitas Mathematica and Bulletin of the Australian Mathematical Society. Notably, her work covers cycle-(super) magic labeling of disconnected graphs and cycle-supermagicness of subdivided graphs.

Graduate Student News

PhD Students

  1. Farukh Ejaz

    2. Title: Domination of Topological Invariants in Molecular Graphs and Fuzzy Graphs
    Supervisor: Dr. Muhammad Hussain

  2. Quratulain Muneer

    3. Title: Implications of F (R. T) Theory in Cosmological Aspects
    Supervisor: Dr. Muhammad Zubair        

  3. Muhammad Bilal Amin

    4. Title: Physical Aspects of Cosmic Parameters and Wormhole Solutions in Modified Theories of Gravity
    Supervisor: Dr. Shamaila Rani                

  4. Shahid Chaudhary

    5. Title: Physical Analysis of Black Holes Through Well-Known Approaches
    Supervisor: Dr. Abdul Jawad

  5. Jamshed Nasir                                   

    6. Title: Fractional Integral Inequalities via Generalized Convex Function
    Supervisor: Dr. Saad Ihsan Butt

  6. Abdul Malik Sultan

    7. Title: Dynamic Properties of Some Cosmological Systems
    Supervisor: Dr. Abdul Jawad                   

  7. Farhana Yasmeen

    8. Title: Extremal and Computational Invariants of Different Families of Graphs
    Supervisor: Dr. Kashif Ali                       

  8. Shazia Manzoor    

    9. Supervisor: Dr. Muhammad Kamran Siddique    
    Title: On Entropy Measures of Graph Structures and Their Applications

  9. Muhammad Aamer Rashid

    10. Title: On Regularity and Topological Properties of Some Graphs
    Supervisor: Dr. Sarfraz Ahmad 

                 
 

MS Students

Below is the detailed information of the MS scholars in Mathematics who have successfully defended their research theses and completed their MS degrees:

Fall 2022
  1. Ahmad Khan

    2. Thesis Title: New Simpson-Newton Type Inequalities in Mercer Sense
    Supervisor: Dr. Saad Ihsan Butt

  2. Amina Bashir

    3. Thesis Title: On Statistical Analysis of Topological Indices for Beyrllium Oxide
    Supervisor: Dr. Muhammad Kamran Siddiqui

  3. Aqfa 

    4. Thesis Title: Flow Characteristics of Non-Newtonian Cross Model Fluid over a Variable Thicker Sheet
    Supervisor: Dr. Mohsan Hassan

  4. Aqsa Saleem

    5. Thesis Title: Gravitational Baryogenesis within  Gravity using Isotopic and Anisotropic Universe Models
    Supervisor: Dr. Rabia Saleem

  5. Ayesha Shahbaz

    6. Thesis Title: Topological Indices and Entropy Measure for Line Graph of Carbon Nanocone
    Supervisor: Dr. Imran Zulfiqar Cheema

  6. Basharat Ali

    7. Thesis Title: Computation of Degree based Indices and Entropies of Some Graphs
    Supervisor: Dr. Kashif Ali

  7. Dania Tahir

    8. Thesis Title: Survey of the Two-Population Neural Field Model Study with and without External Inputs
    Supervisor: Dr. Muhammad Yousaf

  8. Fareeha Rasool

    9. Thesis Title: Study of Cosmic Warm Inflation using Dark Energy Models
    Supervisor: Dr. Shamaila Rani

  9. Farhan Saleem

    10. Thesis Title: Investigation on Boundary Layer Flow of Non-Newtonian Ellis Model Fluid over Variable Thicker Sheet
    Supervisor: Dr. Mohsan Hassan

  10. Hira Andleeb

    11. Thesis Title: Multivariate Public Key Cryptosystem with Polynomial Composition
    Supervisor: Dr. Tariq Javed Zia

  11. Hira Inam

    12. Thesis Title: New Fractional Extensions of Hadamard Mercer Inequalities
    Supervisor: Dr. Saad Ihsan Butt

  12. Hussnain Raza

    13. Thesis Title: Some Thermal Properties of Self Gravitating Object
    Supervisor: Dr. Abdul Jawad

  13. Khadija Bibi

    14. Thesis Title: On Some Degree based Indices of the Hypertree and Corona Products of Graphs
    Supervisor: Dr. Sarfraz Ahmad

  14. Khadija Mazhar

    15. Thesis Title: Locating and Fault-Tolerant Locating Numbers of Certain Structure
    Supervisor: Dr. H. M. Afzal Siddiqui

  15. M. Hamza Fayyaz

    16. Thesis Title: On Topological Indices of Two-Dimensional Metal Organic Framework
    Supervisor: Dr. M. Faisal Nadeem

  16. Muhammad Abu Baker

    17. Thesis Title: Topological Invariants on Line Graphs of Silicate and Silicate Sheets
    Supervisor: Dr. Muhammad Hussain

  17. Muhammad Anas

    18. Thesis Title: On Some Eccentricity and Degree based Topological Indices of Face Centered Cubic Lattice
    Supervisor: Dr. Hani Shaker

  18. Muhammad Awais Iqbal

    19. Thesis Title: Topological Indices on Line Graph of Cellulose Network
    Supervisor: Dr. Muhammad Hussain

  19. Muhammad Nabeel

    20. Thesis Title: Some Novel Extensions of ELECTRE-I and TOPSIS Methods Under Cubic Bipolar and m-polar Fuzzy Information
    Supervisor: Dr. Adeel Farooq

  20. Muhammd Asif

    21. Thesis Title: Solutions of Some Mathematical Models by Homotopy Perturbation Method
    Supervisor: Dr. Muhamamd Rafiullah

  21. Nimra

    22. Thesis Title: Applications of Lump, Rogue Wave and their Interactions for Nonlinear Equations
    Supervisor: Dr. Syed Tahir Raza Rizvi

  22. Noor Ul Huda

    23. Thesis Title: Mostar Invariants of Different Families of Graphs
    Supervisor: Dr. Kashif Ali

  23. Rabie Ashraf

    24. Thesis Title: Graph Labelings via Abelian Groups
    Supervisor: Dr. Hani Shaker

  24. Rizwan Akbar

    25. Thesis Title: Implication of Complexity Factor on Gravitational Decoupled Stellar Models
    Supervisor: Dr. Muhammad Zubair

  25. Samia Ahmed

    26. Thesis Title: Study of Breathers and M-Shaped Solutions to Nonlinear Models
    Supervisor: Dr. Syed Tahir Raza Rizvi

  26. Sania

    27. Thesis Title: Effects of Interaction Terms on the Cosmology of Kaniadakis Holographic Dark Energy
    Supervisor: Dr. Abdul Jawad

  27. Shazia Batool

    28. Thesis Title: Chaotic Attractors and Delayed Mathematical Model of Oncology
    Supervisor: Dr. Ayesha Sohail

  28. Tatheer Zahra

    29. Thesis Title: Spanning Simplicial Complexes of Multi-Sheel Graphs
    Supervisor: Dr. Imran Ahmad

  29. Uqba Farooq

    30. Thesis Title: On Some Algebraic Properties of the Path Ideal
    Supervisor: Dr. Sarfraz Ahmad

  30. Uzair Zaman Khan

    31. Thesis Title: Physical Measures of Chemical Compounds in the Light of Topological Indices via Machine Learning Tools
    Supervisor: Dr. Sana Javed

  31. Yasir Naveed

    32. Thesis Title: Refinements of Some Hardy-Littlewood-Pólya Type Inequalities and New Gruss and Ostrowski Type Upper Bounds
    Supervisor: Dr. Sadia Khalid

Spring-2023

  1. Abu-Bakar           

    2. Thesis Title: Study of Cosmic Expansion through Several Equation of States
    Supervisor: Dr Shamaila Rani

  2. Adnan Ahmad

    3. Thesis Title: Graph Energies of Generalized Chain on Petersen Graphs      
    Supervisor: Prof. Dr Muhammad Hussain

  3. Aitazaz Ahsan     

    4. Thesis Title: Cosmographic Analysis of Holographic Non-Zero Torsion Framework       
    Supervisor: Dr. Abdul Jawad

  4. Aleeha Ijaz 

    5. Thesis Title: A Study of Cosmic Expansion via Some Dark Energy Models within Nonmetricity Theories
    Supervisor: Dr. Rabia Saleem

  5. Ali Akbar

    6. Thesis Title: New Fractal Estimates of Bullen and Related Inequalities        
    Supervisor: Dr. Saad Ihsan Butt

  6. Ali Haidar            

    7. Thesis Title: Use of Artificial Intelligence in Group Representation Theory 
    Supervisor: Prof. Dr. Kashif Ali

  7. Ali Hassan           

    8. Thesis Title: Two-Bump Solutions in the Two-Population Neural Field Model       
    Supervisor: Dr. Muhammad Yousaf Bhatti

  8. Ali Mehdi             

    9. Thesis Title: Inequalities via Lidstone's Interpolating Polynomial and Related Results   
    Supervisor: Dr. Sadia Khalid

  9. Ammara Rashid   

    10. Thesis Title: An Introduction to Projective Geometry and the Klein Quadric
    Supervisor: Prof. Dr. Sarfraz Ahmad

  10. Anam Riaz                    

    11. Thesis Title: Some Interval Valued Intuitionistic Fuzzy Graph Structures    
    Supervisor: Dr. Imran Zulfiqar Cheema

  11. Aneeqa Mehrab            

    12. Thesis Title: On the Combinatorics of Pfaffian Ideals      
    Supervisor: Prof. Dr. Sarfraz Ahmad

  12. Attiya Firdous      

    13. Thesis Title: Heat and Mass Flow of Non-Newtonian Three Element Viscous Model Fluid Over
    Variable Thicker Sheet              
    Supervisor: Dr. Mohsan Hassan

  13. Ayesha Aslam               

    14. Thesis Title: Effects of Well-Known Potentials on Cosmic Inflation in f(T) Gravity 
    Supervisor: Dr Abdul Jawad

  14. Ayodeji Simeon Farominiyi                                 

    15. Thesis Title: Geometry of Manifolds and the Gauss Bonnet Theorem
    Supervisor: Dr. Adeel Farooq

  15. Bilal Shahaid Baig         

    16. Thesis Title: Artificial Intelligence to Optimize Parameters of Network Model of Oncology           
    Supervisor: Dr. Ayesha Sohail

  16. Eiman Maqsood   

    17. Thesis Title: Generalized Study of Horizons, Photon Sphere and its Shadows in Rotating Black Holes
    Supervisor: Dr. Muhammad Zubair

  17. Faraz William                

    18. Thesis Title: Intrinsic Nature of Gaussian Curvature       
    Supervisor: Prof. Dr. Kashif Ali

  18. Farooq Mehmood         

    19. Thesis Title: Constant-Roll Inflation Inspired by a Fermionic Field    
    Supervisor: Dr. Rabia Saleem

  19. Farwa Raza                   

    20. Thesis Title: On Cubic Pythagorean Fuzzy Topological Spaces and their Properties      
    Supervisor: Dr. Hani Shaker

  20. Fazeela Haider              

    21. Thesis Title: Applications of B-spline in Fractional Partial Differential Equations  
    Supervisor: Dr. Tayyaba Ikram

  21. Ghulam Qadir               

    22. Thesis Title: Construction of Numerical Scheme using Python for Neural Field Model   
    Supervisor: Dr. Muhammad Yousaf Bhatti

  22. Hafsa Iqbal

    23. Thesis Title: On Entropy measure of Different Families of Fullerenes
    Supervisor: Dr. M. Faisal Nadeem

  23. Hafsa Jameel        

    24. Thesis Title: Study of Cracking and Complexity in the Context of Gravitational Decoupling
    using Durgapal-Fuloria Model   
    Supervisor: Dr. Muhammad Zubair

  24. Hamza Sani                  

    25. Thesis Title: Differentiation and Maximal Operators       
    Supervisor: Dr. Adeel Farooq

  25. Hasnain Abbas     

    26. Thesis Title: Breathers, Rogue Wave and Lump Solutions for Nonlinear Partial Evolution Equation
    Supervisor: Dr. Syed Tahir Raza Rizvi

  26. Hudaa Zaidi

    27. Thesis Title: Evaluation of Connection Number-Based Indices of Networks Derived from Triglyceride
    Supervisor: Dr. Hafiz Muhammad Afzal Sidique

  27. Mariam Nissar              

    28. Thesis Title: Boundary Layer Flow Behavior of Viscoelastic Maxwell Model Fluid over Thin Needle
    Supervisor: Dr. Mohsan Hassan

  28. Marwa Anwer                

    29. Thesis Title: Soliton Solutions for Various Nonlinear Models by Sub-ODE Technique     
    Supervisor: Prof. Dr. Kashif Ali

  29. Mehran Anwar     

    30. Thesis Title: New Bounds for Parametrized Fractional Bullen Type Inequalities Pertaining Differentiable Functions
    Supervisor: Dr. Saad Ihsan Butt

  30. Minahil Ijaz                   

    31. Thesis Title: Topological Indices on Line Graph of Different Chemical Structures
    Supervisor: Prof. Dr. Muhammad Hussain

  31. Mohammad Amaid Siddiqui    

    32. Thesis Title: Consensus based Multi-Person Decision Making using Average Operator in Incomplete Multiplicative Preference Relation's Environment  
    Supervisor: Dr. Atiq ur Rehman

  32. Momna Abaidullah

    33. Thesis Title: Study of Optical Pulses for Various Nonlinear Differential Equations
    Supervisor: Dr. Muhammad Faisal Nadeem

  33. Muhammad Adeel Arshad       

    34. Thesis Title: Computing Connection Number-Based Indices for Graphs Derived from Metal Organic
    Supervisor: Dr. Hafiz Muhammad Afzal Sidique

  34. Muhammad Asif           

    35. Thesis Title: t-fold Edgewise Subdivision of a Simplicial Complex     
    Supervisor: Prof. Dr. Sarfraz Ahmed

  35. Muhammad Gulshan Iqbal       

    36. Thesis Title: Bright, Dark, Optical Pulses and Moving Fronts for Various Nonlinear Model         
    Supervisor: Dr. Syed Tahir Raza Rizvi

  36. Muhammad Hamza Rasool                                 

    37. Thesis Title: Warm Inflation Inspired by Dark Energy within Non-Metricity Theories      
    Supervisor: Dr. Rabia Saleem

  37. Muhammad Muzammal Khan                             

    38. Thesis Title: Constraining the Newly Reconstructed f (Q,T)Gravity Models Under the Recent Cosmic Domain   
    Supervisor: Dr. Muhammad Zubair

  38. Muhammad Sadiq         

    39. Thesis Title: Computing Degree based Topological Indices for Copper Iodide     
    Supervisor: Dr. Muhammad Kamran Siddiqui

  39. Muhammad Shahan Murtaza                              

    40. Thesis Title: Discrete Event Systems in Applied Sciences and AI-Recurrent Neural Networks           
    Supervisor: Dr. Ayesha Sohail

  40. Muhammad Shoaib Azhar                                   

    41. Thesis Title: Some Notions of Interval Valued Fuzzy Graph Structures       
    Supervisor: Dr Atiq.Ur Rehman

  41. Muhammad Umer         

    42. Thesis Title: Exploring Patterns and Relations in Knot Theory by using Machine Learning           
    Supervisor: Dr. Abdul Jawad

  42. Naseer Ahmad              

    43. Thesis Title: Computing Degree based Topological Indices for Potassium Nitrate
    Supervisor: Dr. M. Faisal Nadeem

  43. Nida - Ul-Nasar             

    44. Thesis Title: Mathematical Study of Topological Indices  
    Supervisor: Prof. Dr. Muhammad Hussain

  44. Noor Sehar                   

    45. Thesis Title: Thermodynamics of Calcium Chloride in the Light of Graphical Descriptors           
    Supervisor: Dr. Sana Javed

  45. Rabia Siddique             

    46. Thesis Title: On Picture Fuzzy Bipolar Soft Topological Spaces
    Supervisor: Dr. Hani Shaker

  46. Ramisa Zia                    

    47. Thesis Title: Multiple Soliton Solutions for Various Nonlinear Evolution Equations by Hirota Method
    Supervisor: Dr. Syed Tahir Raza Rizvi

  47. Sadaf Iqbal                    

    48. Thesis Title: Effects of Exponential Entropy on Thermodynamic Geometries       
    Supervisor: Dr. Shamaila Rani

  48. Sajawal Ali Toor            

    49. Thesis Title: Montgomery's Identity and Related Inequalities  
    Supervisor: Dr. Sadia Khalid

  49. Sana Malik 

    50. Thesis Title: Thermodynamic Study of Higher Dimensional Black Holes through Exponential Entropy
    Supervisor: Dr Abdul Jawad

  50. Sana Zafar  

    51. Thesis Title: Solutions of Some Nonlinear Mathematical Models by Laplace Adomian Decomposition Method 
    Supervisor: Dr. M. Rafiullah

  51. Shehneel    

    52. Thesis Title: Long Short-Term Memory Approach to Maximize the Reward and Minimize the.Risk
    Supervisor: Dr. Ayesha Sohail

  52. Sidra Karim                   

    53. Thesis Title: Cosmographic and Matter Bounce Scenario in Modified Torsion Gravity    
    Supervisor: Dr. Shamaila Rani

  53. Syed Laeeq Haider        

    54. Thesis Title: Resolving Domination Number of Graphs Derived from Certain Structures
    Supervisor: Dr. H. M. Afzal Siddiqui

  54. Tasmeer Jameel            

    55. Thesis Title: Finite Element Method and its Application for Solving Diffusion and Biot Model  
    Supervisor: Dr. Sadia Arshad

  55. Warisha      

    56. Thesis Title: Analysis of Barrow Holographic Dark Energy in Five-Dimensional Modified Gravity
    Supervisor: Dr. Shamaila Rani

  56. Zainab Zaka

    57. Thesis Title: On Fermatean Fuzzy Bipolar Soft Topological Space     
    Supervisor: Dr. Hani Shaker

BS Scholars
FA-2022
  1. Muhammad Ali Naseem
  2. Muhammad Zubair
  3. Ali Hamza
  4. Muhammad Tahir
  5. Saad Hussain
  6. Hamatia Afzal
  7. Muhammad Sajid
  8. Hasnain Ali
  9. Abu Harera
  10. Javeria Saleem
  11. Fatima Batool
  12. Muhammad Adnan
  13. Shehrooz
  14. Muhammad Sajjad Asghar
  15. Ghulam Mustafa
  16. Husnain Niamat
  17. Muhammad Azeem
  18. Humaira Ijaz
  19. Tayyab Abbas
  20. Muhammad Farman
  21. Azhar Iqbal
  22. Hassan Ali
  23. Faizan Asif
  24. Rimsha Noreen
  25. Muhammad Zeeshan
  26. Sufiyan Ali
  27. Ahmad Mehmood
  28. Umar Yaqoob
  29. Abdul Rehman
  30. Muhammad Umair Umer
Spring-2023
  1. Aqsa Nazar
  2. Abdul Rasheed
  3. Majid Siddique
  4. Bakhtawar Bashir
  5. Yasmeen Razia
  6. Muhammad Ismail
  7. Usama Yaseen
  8. Sadia
  9. Syeda Hira Fatima
  10. Shamsul Jahan Shamsa
  11. Nimra Asif
  12. Laiba Fareed
  13. Rai Mukhtar Hakim
  14. Muhammad Yasin
  15. Iqra Anjum
  16. Mohsin Khan
  17. Faiza Kousar
  18. Muhammad Awais
  19. Muhammad Javaid
  20. Husnain Ali
  21. Maham Muzaffar
  22. Mudassarah Tasneem
  23. Muhammad Mehtab
  24. Syed Umair Raza
  25. Shaiza Zulkaif
  26. Mazahir Ali
  27. Arooj Jabbar
  28. Maira
  29. Hifza Riaz
  30. Nisha Ashfaq
  31. Husnain Hafeez
  32. Ahtisham Rasool
  33. Nadia Shareef
  34. Fatima Saleem
  35. Muhammad Faheem
  36. Faizan Ahmed
  37. Aqsa Mustafa
  38. Faisal Mehmood
  39. Shahid Nadeem
  40. Fatima
  41. Rimsha Saher
  42. Syed Irtza Mehdi
  43. Kinza Ashraf
  44. Mohsin Ali
  45. Muhammad Waqas
  46. Saba Hanif
  47. Aqsa Shehzaadi
  48. Shaista Riaz
  49. Muhammad Saqlain Younas