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Muhammad Awais Yousaf
  • Muhammad Awais Yousaf

  • Associate Professor
    PhD
  • awais.yousaf@iub.edu.pk

Profile Summary

I am Dr. Muhammad Awais Yousaf, an Associate Professor of Mathematics in the Department of Mathematics at The Islamia University of Bahawalpur (IUB), Pakistan. I received my PhD in Mathematics from Quaid-i-Azam University, Islamabad, where my research focused on algebraic and combinatorial structures, particularly finite homomorphic images of groups.

My research interests lie at the intersection of combinatorial group theory and modern cryptography. I actively work on algebraic cryptography, group-theoretic constructions of substitution boxes (S-boxes), digital signatures, image encryption, and secure communication protocols. A significant part of my work investigates how finite groups, group actions, coset diagrams, and algebraic structures can be employed to design cryptographically strong and computationally efficient security primitives.

I have published extensively in leading international journals, including IEEE Access, Scientific Reports, Symmetry, Multimedia Tools and Applications, Wireless Personal Communications, and others. My recent research also extends to post-quantum cryptography, chaotic encryption schemes, and medical image security.

In addition to academic research, I am interested in the dissemination of technical knowledge beyond formal publications, particularly where mathematical modeling, optimization, and algorithmic thinking intersect with real-world systems. As part of this broader educational outreach, I maintain an independent resource (https://growwithhydroponics.com) that focuses on structured, data-informed approaches to controlled-environment and sustainability-related technologies.

Alongside research, I am actively involved in teaching undergraduate and postgraduate courses such as Algebra, Linear Algebra, Calculus, Algebraic Cryptography, and Group Algorithm Programming. I have supervised multiple PhD and MPhil theses in mathematics, cryptography, and applied algebra.

I have also served as a Visiting Researcher at the University of Birmingham, UK, collaborating on problems in combinatorial group theory. My goal is to contribute to the development of secure, mathematically rigorous cryptographic systems and to mentor students in advanced mathematical research and applications.

Qualifications

DegreeBoard/UniversityYear of Passing
SSCBoard of Intermediate and Secondary Education, Multan2000-01-01
FABoard of Intermediate and Secondary Education, Multan2002-01-01
BScBahauddin Zakariya University, Multan2006-01-01
MSc Mathematics Quaid-e-Azam University, Islamabad2008-01-01
M.Phil MathematicsQuaid-e-Azam University, Islamabad2010-01-01
PhDQuaid-e-Azam University, Islamabad2015-01-01

Experience

Assistant ProfessorThe Islamia University of Bahawalpur

Publications

Evolution of ambiguous numbers under the actions of a Bianchi group
Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures
A Novel Method for Generation of Strong Substitution-Boxes Based on Coset Graphs and Symmetric Groups
Comparison of Pre and Post-Action of a Finite Abelian Group Over Certain Nonlinear Schemes
Certain polynomials and related topological indices for the series of benzenoid graphs
Non-Conjugate Graphs Associated With Finite Groups
Polynomials associated with the fragments of coset diagrams
On contraction of vertices of the circuits in coset diagrams for PSL(2,Z)
The number of circuits of length 4 in PSL(2,Z)
Alternating groups as a quotient of PSL( 2 , Z [i])
A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map
Diagrams for certain quotients of PSL ( 2 , Z[i])
A-paracompactness and Strongly A-screenability in Topological Groups
On Generalization of Quasi s-topological IP-loops
On Separately Irresolute and Pre semi open Multiplication Mapping of Topological Spaces defined on Loops
On sequences of molecular descriptors related to some counting polynomials of a Benzenoid graph
A Paradigmatic approach to Quasi Topological Loops: Classification and Characterization
A Novel Group Theoretic and Graphical Approach for Designing Cryptographically Strong Nonlinear Components of Block Ciphers
An Efficient Technique to Construct Certain Counting Polynomials and Related Topological Indices for 2D-Planar Graphs
A novel finite rings based algebraic scheme of evolving secure S-boxes for images encryption

Projects

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