Professor Jeremy Quastel, a mathematician at the University of Toronto, is advancing our understanding of randomness in nature through his pioneering work in probability theory. His research centres on the KPZ fixed point, a newly constructed mathematical object that explains how seemingly unrelated random growth processes, such as coffee stains or bacterial colonies, share universal patterns.

Quastel’s breakthrough came from identifying and proving the existence of this fixed point. Working with collaborators, he developed an exact formula that draws on classical mathematical tools to describe precisely how complex systems evolve over time.

By showing that many models, including the foundational KPZ equation, converge to this fixed point, Quastel has unified major areas of mathematical research. His work paves the way for new discoveries in fields ranging from physics to biology and will help scientists better predict and model dynamic systems, leading to innovations in areas such as materials science and biological growth.