Research Groups

In the Department of Mathematics, faculty members are organized into specialized research groups to streamline academic mentoring and foster focused research endeavors. These groups reflect major areas of study within the department, allowing both faculty and students to collaborate effectively within their respective domains. The research groups are as follows:

Fluid Mechanics

The research group in fluid mechanics fosters innovation by combining diverse expertise to tackle complex problems in fluid behavior and dynamics. By working together, our group integrates theoretical analysis and numerical simulations to explore the boundary layer flow behavior for Newtonian and non-Newtonian fluids subjected to stretching oscillatory surfaces. This collaborative environment promotes knowledge sharing, accelerates problem-solving, and enhances the development of new models and technologies. Interdisciplinary cooperation with material scientists, engineers, and applied mathematicians broadens the impact and applicability of fluid mechanics research, leading to advancements in aerospace, energy, and biomedical engineering.

Group Members:

Name	Designation	Role in Group
Dr. Sabir Ali Shehzad	Associate Professor	Group Leader
Dr. Amar Rauf	Assistant Professor	Member
Dr. Hameedullah	Assistant Professor	Member
Dr. Muhammad Omar	Assistant Professor	Member
Ms. Rida Ayyaz	Lecturer	Member

Computational Mathematics

Our research group is dedicated to advancing the frontiers of applied mathematics with a focus on theoretical and computational studies in electromagnetism, numerical analysis, meta-materials, and differential geometry.

Group Members:

Name	Designation	Role in Group
Dr. Muhammad Raza	Associate Professor	Group Leader
Dr. Najma Abdul Rehman	Associate Professor	Member
Dr. Syed Aftab Naqvi	Associate Professor	Member
Dr. Shahid Qaisar	Associate Professor	Member
Dr. Asma	Associate Professor	Member
Ms. Zoya Abdullah	Lecturer	Member
Ms. Tehmina	PhD Scholar	Member
Laraib Mushtaq	MS Student	Member
Natasha Nasreen	MS Student	Member

 

Under the leadership of Dr. Muhammad Raza, this team actively investigates topics including patch antenna design, invisibility cloaking, numerical solutions of differential equations, and the application of modern neural network-based approaches such as Physics-Informed Neural Networks (PINNs). We aim to bridge mathematical theory with real-world engineering challenges, fostering a collaborative environment for postgraduate researchers and scholars to contribute to high-impact multidisciplinary research.

Graph Theory

The Graph Theory Research Group is a collaborative academic unit dedicated to the study and advancement of graph theory and its wide-ranging applications. Our research focuses on both fundamental aspects of graph theory—such as connectivity, labeling, coloring, planarity, topological indices, and graph algorithms—as well as emerging interdisciplinary applications in computer science, data science, biology, social networks, and optimization.

Group Members:

Name	Designation	Role in Group
Dr. Muhammad Naeem	Associate Professor	Group Leader
Dr. Manzoor Ahmad Zahid	Associate Professor	Member
Dr. Misbah Arshad	Associate Professor	Member
Dr. Rida Irfan	Associate Professor	Member
Mr. Asghar Ali	PhD Scholar	Member
Mr. Munawar Hussain	PhD Scholar	Member
Ms. Sadia	PhD Scholar	Member
Mr. Mehboob Raza	PhD Scholar	Member

Our group explores:

• Structural properties of graphs
• Chromatic polynomials and graph coloring problems
• Metric dimension theory
• Labeling techniques
• Applications in chemical graphs and computational biology

Future research aims include:

• Network analysis and modeling of social problems
• Algorithm design and complexity related to graphs
• Applications of graph theory in AI, communication networks, and neural networks

We promote collaboration among faculty, graduate students, and undergraduates through regular meetings and research projects. The group also contributes to peer-reviewed publications and interdisciplinary partnerships. By combining theoretical depth with practical problem-solving, the Graph Theory Research Group strives to produce innovative research and train the next generation of mathematical and computational thinkers.