I am a PhD candidate in Pure Mathematics at the University of Manchester, United Kingdom, conducting my research under the supervision of Dr. Florian Eisele. My doctoral work, Picard Groups for Blocks, explores the intricate structure of modular representation theory, with a particular focus on the Picard and Picent groups of blocks with Dihedral and Quaternion defect groups. My research integrates computational algebra through systems such as GAP to verify theoretical structures and guide deeper analytical results.

I completed my Master of Science in Mathematics at Sukkur IBA University, Pakistan. My thesis, Representation Theory of Reflection Monoids, examined the complex and modular representations of Boolean and Coxeter arrangement monoids. I graduated at the top of my class, reflecting my early academic strength and deep interest in abstract algebra and representation theory. I earned my Bachelor of Science in Mathematics from the University of Sindh, where I stood third in my batch.

Throughout my academic career, I have gained extensive teaching and leadership experience. Since 2022, I have served as a Graduate Teaching Assistant at the University of Manchester, providing instruction, supervision, and academic support in undergraduate mathematics courses. I was also elected Lead Postgraduate Researcher (PGR) Representative for the Faculty of Science and Engineering (2024–2025), where I successfully advocated for enhanced research funding, student welfare, and academic resources.

Beyond academia, I have worked as Team Lead (Mathematics Expert) at Mercor Intelligence, where I led a team of over 30 contributors to optimize training and quality assurance protocols while applying mathematical precision to the evaluation of large language model outputs. Previously, I held lecturing positions at the National University of Modern Languages (NUML) and Sukkur IBA University, where I taught both applied and abstract mathematics.

I have presented my research at several prestigious forums, including the University of Leeds, Queen Mary University of London, and the University of Manchester, covering topics ranging from Picard Groups of Finite Algebras to Derived Categories and Tilting Modules. I have also attended advanced workshops and conferences at institutions such as the Isaac Newton Institute (University of Cambridge), the University of Birmingham, and King’s College London. In 2026, I will serve as an organiser of the upcoming Manchester Algebra Conference.

My research interests include Representation Theory, Group Theory, Abstract Algebra, and Computational Mathematics, along with growing involvement in mathematical applications to artificial intelligence and data science. I am proficient in Python, GAP, and advanced algebraic computation tools, and fluent in English, Urdu, and Sindhi. Outside mathematics, I am a sporty individual who enjoys participating in university-level cricket and badminton.