Hosam Mahmoud, PhD, is the Founder and CEO of Probability Solutions LLC and a Professor of Statistics at The George Washington University. He is an internationally recognized expert in probabilistic modeling, stochastic processes, and the analysis of complex algorithmic systems, with a focus on random structures such as trees, graphs, and large-scale networks.

Over a distinguished academic career, he has authored more than 130 peer-reviewed publications and four influential books, contributing foundational advances to the mathematical analysis of algorithms and random systems. His work extends beyond theory, offering deep insights into how complex systems behave under uncertainty and how they can be optimized for performance, scalability, and efficiency.

Through Probability Solutions LLC, he provides high-level consulting to organizations operating in data-intensive and computationally demanding environments, including large technology companies, research institutions, and innovative startups. His services include advanced mathematical modeling, performance analysis of data structures, and the design of efficient, near-optimal algorithms that significantly reduce computational cost while maintaining high performance.

In addition to consulting, he works closely with technical teams, delivering specialized training and strategic guidance to help them develop scalable, high-performance solutions. His approach combines rigorous mathematical theory with practical implementation, enabling organizations to make informed, data-driven decisions and solve complex problems with clarity and precision. 

His expertise is particularly valuable in environments where efficiency, scalability, and precision are critical to success.