10 January – Ilya Chevyrev: Rough Analysis
Many natural systems, such as financial markets, biological processes, and physical phenomena,
are inherently random and exhibit roughness and oscillations on multiple scales. Rough analysis
is a mathematical framework that provides tools for understanding and analysing such systems.
Among its applications, rough analysis has enabled the development of robust solution theo-
ries for previously intractable differential equations.
In this talk, Chevyrev will present the key concepts underlying this field and present several
surprising applications.
Ilya Chevyrev is a Reader at the University of Edinburgh and a Mercator Fellow at TU Berlin. He
completed his doctoral studies at the University of Oxford after which he was a postdoctoral
researcher at TU Berlin and a Junior Research Fellow at St John’s College, Oxford. His research
focuses on probability theory and analysis and their interactions with mathematical physics,
dynamical systems, and data science.