Chinese Mathematicians Wang Hong and Yunqing Tang Win the Mathematics “Oscar”

The 2026 Breakthrough Prize announced its New Horizons in Mathematics winners—Wang Hong, Yunqing Tang, Otis Chodosh and Vesselin Dimitrov—highlighting Wang's solution of the Kakeya conjecture, Tang and Dimitrov's breakthroughs on the unbounded denominators conjecture and a new irrationality result, and Chodosh's advances in differential geometry, with a total prize pool of $18.75 million.

Breakthrough PrizeDifferential geometryKakeya conjecture

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Chinese Mathematicians Wang Hong and Yunqing Tang Win the Mathematics “Oscar”

Data Party THU

Oct 18, 2025 · Artificial Intelligence

What Happens When a Fields Medalist Teams Up with ChatGPT‑5? An AI‑Assisted Geometry Case Study

Renowned mathematician Terence Tao experiments with ChatGPT‑5 Pro on a bounded‑curvature sphere problem, revealing how AI excels at detailed calculations, offers concise proofs, yet struggles with strategic guidance and subtle geometric assumptions, highlighting both the promise and limits of AI in advanced mathematical research.

AIChatGPTDifferential geometry

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What Happens When a Fields Medalist Teams Up with ChatGPT‑5? An AI‑Assisted Geometry Case Study

Architects Research Society

Oct 30, 2016 · Fundamentals

Why Some Areas of Mathematics Feel Harder Than Others

The perceived difficulty of mathematical fields varies because each branch has its own language, foundational concepts, and required tools, making areas like algebraic geometry seem daunting while others such as number theory or combinatorics appear simpler yet still demand deep insight and advanced techniques.

Differential geometryPDEalgebraic geometry

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Why Some Areas of Mathematics Feel Harder Than Others