Amaury Hayat

Fellows

Professor

• ENPC (IP Paris)

Research topics

Applied Mathematics

•

Statistical Learning

•

Quantum Machine Learning

•

Probability

Biography

Amaury Hayat is a Professor at École nationale des Ponts et Chaussées and a permanent researcher at CERMICS. Since 2026, he holds the Hi! PARIS DESCARTES Chair in AI for Mathematics (2026–2029). He is also a KIAS Scholar at the Korea Institute for Advanced Study.

His work sits at the intersection of applied mathematics and artificial intelligence, with a focus on developing theoretical and computational approaches to complex systems. He previously held a research position at Rutgers University, working with Benedetto Piccoli, and completed his PhD at Sorbonne Université (Laboratoire Jacques-Louis Lions) under the supervision of Jean-Michel Coron, with co-supervision from Sébastien Boyaval. Throughout his career, he has been invited to several leading international institutions, including ETH Zürich, EPFL, Peking University, and Harvard’s Center of Mathematical Sciences and Applications, reflecting the international recognition of his research.

His Hi! PARIS fellowship project, DESCARTES, focuses on bringing modern statistical theory and machine learning methods into the quantum setting.

The project aims to develop new theoretical foundations for quantum statistical inference and quantum learning, with applications in quantum engineering. It explores how information can be extracted from quantum systems while minimizing disturbance, using concepts such as gentle measurement and quantum differential privacy. The project also studies how quantum, classical, and hybrid statistical models can be compared through asymptotic equivalence, helping to clarify when quantum information can be approximated by classical systems and when genuinely quantum methods are needed.

Learn more about his project here.