Dr. Muhammad Tayyab assumed the position of Assistant Professor of Mathematics at Pak Austria Fachhochschule in February 2023. Prior to this, he served at the Ghulam Ishaq Khan Institute of Engineering Sciences and Technology (GIKI), starting in January 2019 to January 2023. He completed his Ph.D. in Pure and Applied Mathematics in July 2018 from the University of Turin and the Polytechnic University of Turin, Italy (PoliTO). During his doctoral studies, he conducted research as a visiting scholar at both the Institute of Theoretical Physics, University of Leipzig, Germany, and the Department of Sciences and Methods for Engineering, University of Modena and Reggio Emilia, Italy. In 2015, PoliTO awarded him a fully funded doctoral scholarship. In recognition of his exemplary research, PoliTO honored him with the “Prime Quality Award 2016” (Distinguished Doctoral Student), along with a monetary prize of 7,000 euros for his contributions to resolving open problems in statistical mechanics. He holds a Master’s degree in Mathematics from COMSATS University Islamabad (CUI) (2014) and a Bachelor’s degree in Mathematics from International Islamic University Islamabad (2012).
Dr. Tayyab has also served as a research associate at CUI and as visiting faculty at the Institute of Space Technology, Islamabad, where he taught several courses.
His research is situated at the intersection of mathematical physics and statistical mechanics, with a particular focus on anomalous transport phenomena and the interplay between deterministic and stochastic dynamics. Notably, he developed a novel dynamical system termed “Fly-and-Die dynamics” in collaboration with Prof. Jürgen Vollmer, which serves as a prototypical model for the study of anomalous diffusion. Additionally, he successfully established a “Universality Class” wherein the observables of distinct systems—including the Slicer Map, Lévy-Lorentz Gas, Polygonal Billiards with finite and infinite horizons, Lévy Flights, and spatial diffusion in cold atoms—exhibit scaling behaviors that are invariant to their underlying microscopic structure. His auxiliary research interests extend to big data analysis, computational modeling and simulation, and numerical analysis.
He is an active member of several prestigious professional societies, including the European Physical Society and the American Physical Society. Furthermore, he regularly engages in peer-reviewing activities for renowned journals such as Neural Computing and Applications (Springer), Journal of Molecular Liquids (Elsevier), Applied Mathematics and Computation (Elsevier), Mathematics (MDPI), and Applied Mathematics and Information Sciences (Natural Sciences Publishing).