Dennis Gaitsgory wins the 2025 Breakthrough Prize in Mathematics - New Horizons and Mirzakhani Prizes Also Awarded

Dennis Gaitsgory has been awarded the Breakthrough Prize in Mathematics "for foundational works and numerous breakthrough contributions to the geometric Langlands program and its quantum version; in particular, the development of the derived algebraic geometry approach and the proof of the geometric Langlands conjecture in characteristic 0."

Gaitsgory has dedicated much of the last 30 years to the geometric Langlands conjecture, which proposes precise connections between seemingly disparate mathematical concepts. In 2013, he outlined the steps required for a proof, and after more than a decade of intensive research, in 2024 he and his colleagues published the full proof comprising over 800 pages spread over 5 papers.

Additionally, we congratulate the 2025 New Horizons in Mathematics Prize recipients:

• Ewain Gwynne (University of Chicago) for contributions to conformal probability
• John Pardon (Stony Brook University) for contributions to symplectic topology and geometry
• Sam Raskin (Yale University) for contributions to the geometric Langlands program

We also celebrate the 2025 Maryam Mirzakhani New Frontiers Prize winners, recognizing outstanding women mathematicians who recently completed their PhDs:

• Si Ying Lee (Stanford University) for contributions to the theory of Shimura varieties
• Rajula Srivastava (University of Bonn) for contributions in harmonic analysis and analytic number theory
• Ewin Tang (UC Berkeley) for developing classical analogs of quantum algorithms for machine learning

For more information, visit the Breakthrough Prize website.

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