The 2024 Breakthrough Prize in Mathematics goes to **Simon Brendle** for *transformative contributions to differential geometry, including sharp geometric inequalities, many results on Ricci flow and mean curvature flow and the Lawson conjecture on minimal tori in the 3-sphere*.

The 2024 New Horizons in Mathematics Prize goes to

**Roland Bauerschmidt**for*outstanding contributions to probability theory and the development of renormalisation group techniques*.**Michael Groechenig**for*contributions to the theory of rigid local systems and applications of p-adic integration to mirror symmetry and the fundamental lemma*.**Angkana Rüland**for*contributions to applied analysis, in particular the analysis of microstructure in solid-solid phase transitions and the theory of inverse problems*.

The 2024 Maryam Mirzakhani New Frontiers Prize goes to

**Hannah Larson**for*advances in Brill-Noether theory and the geometry of the moduli space of curves*.**Laura Monk**for*advancing our understanding of random hyperbolic surfaces of large genus*.**Mayuko Yamashita**for*contributions to mathematical physics, index theory*.