Google DeepMind’s AlphaProof system scored at a silver-medal level when tested against the 2024 International Mathematical ...

AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right?

Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...

Scientists in China have leveraged AI to solve Isaac Newton's kissing number problem in dimensions 25-31, where work had ...

Discover how game theory strategies improve decision-making in business, finance, and economics. Enhance your analytical skills with real-world applications.

There are no known examples so far, but mathematicians are hopeful. Mathematicians have revealed a new category of “digitally delicate” prime numbers. These infinitely long primes turn back to ...

George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...

UC Berkeley math professor Nikhil Srivastava met with researchers on a mission to create a new way of assessing the mathematical capabilities of AI.

LLMs have recently helped find solutions to a number of minor longstanding problems. But a new plan called First Proof is really putting them to the test ...

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This book provides a clear and accessible introduction to modern algebraic number theory, with a special emphasis on class field theory. Drawing from courses and lectures delivered in seven countries, ...