Major Milestones in the World of Mathematics in 2025
The year 2025 was marked by significant events in mathematics — from international recognition of scholars to historic breakthroughs in fundamental theories.
Outstanding Awards and Recognition
Breakthrough Prize in Mathematics — the prestigious 2025 prize was awarded to the eminent mathematician Dennis Gaitsgory for his fundamental contributions to the Geometric Langlands Program, in particular for proving the Geometric Langlands Conjecture in characteristic zero.
New Horizons in Mathematics Prize — research in the field of conformal probability was recognized with the prize for young mathematicians, awarded to Ewain Gwynne of the University of Chicago.
Professor John Pardon also became a co-recipient of the New Horizons in Mathematics Prize for his significant results in geometry and topology.
Major Mathematical Progress
Substantial progress in solving a classical mathematical problem — in 2025, an important step was made toward resolving Hilbert’s Sixth Problem, which aims to provide a rigorous mathematical foundation for physical theories.
Mathematics and Artificial Intelligence
AI as a tool for mathematical thinking — a number of studies in 2025 demonstrated how artificial intelligence is increasingly contributing to solving complex mathematical problems and education: experimental AI systems are already approaching the gold medal standard at the International Mathematical Olympiad or achieving high scores in prestigious mathematical competitions, indicating a transformation in approaches to mathematical thinking and education.
Other Notable Results
Collective scientific achievements — large-scale collaborative projects by mathematicians worldwide, such as comprehensive collective proofs in the Langlands theory or new constructions in combinatorics and knot theory, continue to influence fundamental mathematics and its applications.
These events and achievements demonstrate that in 2025 mathematics remains one of the most dynamic and productive sciences, shaping our understanding of complex systems, algorithms, and the structure of the universe.