2014 Recipient of the Fields Medal
2021 Recipient of the Breakthrough Prize
Lecture Title: (In)stability of stochastic systems
2026 ICM Invited Speaker
2025 Infosys Prize in Mathematical Sciences
Lecture Title: Schwarz reflections and the Fatou-Sullivan dictionary: dynamics and applications
2024 Head of the Department of Mathematics
2015-2019 Councilor of the Bernoulli Society
Lecture Title: The lace expansion in the past, present and future
Lecture Title: KPZ Limit Theorems
2013 Fellow of the American Mathematical Society
2010 ICM Invited Speaker
Lecture Title: Large Random Tilings of a Hexagon
President of the European Mathematical Society (2023-2026)
2022 ICM Invited Speaker
2021 Recipient of the Henri Poincare Prize
Lecture Title: On Dilute Quantum Gases