2014 Fields Medal and Nevanlinna Prize Winners Announced
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After 20 Years, Math Couple Solves Major Group Theory Problem
Britta Späth has dedicated her career to proving a single, central conjecture. She’s finally succeeded, alongside her partner, Marc Cabanes.
Catalytic Computing Taps the Full Power of a Full Hard Drive
Ten years ago, researchers proved that adding full memory can theoretically aid computation. They’re just now beginning to understand the implications.
The Largest Sofa You Can Move Around a Corner
A new proof reveals the answer to the decades-old “moving sofa” problem. It highlights how even the simplest optimization problems can have counterintuitive answers.
How Hans Bethe Stumbled Upon Perfect Quantum Theories
Quantum calculations amount to sophisticated estimates. But in 1931, Hans Bethe intuited precisely how a chain of particles would behave — an insight that had far-reaching consequences.
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Undergraduate Upends a 40-Year-Old Data Science Conjecture
A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible.
How Noether’s Theorem Revolutionized Physics
Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics.
The Poetry Fan Who Taught an LLM to Read and Write DNA
By treating DNA as a language, Brian Hie’s “ChatGPT for genomes” could pick up patterns that humans can’t see, accelerating biological design.
New Proofs Probe the Limits of Mathematical Truth
By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability.
Chatbot Software Begins to Face Fundamental Limitations
Recent results show that large language models struggle with compositional tasks, suggesting a hard limit to their abilities.