#turing-award

#turing-award

Computer programs that check mathematical arguments have existed for decades, but translating a human-written proof into the strict programming language of a computer is extremely time-consuming, often taking months or even years.

Faltings was awarded the prize for work proving central results in the theory of algebraic equations linking whole numbers together. The prize highlights Faltings's work in 1983 on the theory of Diophantine equations, which are equations involving sums and powers of unknown numbers for which the solutions have to be rational - meaning they can be written as a fraction of two whole numbers, or integers.

There is a new wave of women who refuse to wait for the AI industry to become "fair" and "equal." They are building their own companies, on their own terms, with a more authentic and purpose-driven design mentality. It's not general-purpose AI; it's gender-purpose AI.

My website was not what potential customers would be looking for. Although what the site did was useful, no one in the age of agentic coding was going to use it. Instead, they would want some way to have their coding agent, or their build process, or some other automated thing, use my system.

It could have been a heart-to-heart between friends. "Men are all alike," one participant said. "In what way?" the other prompted. The reply: "They're always bugging us about something or other." The exchange continued in this vein for some time, seemingly capturing an empathetic listener coaxing the speaker for details. But this mid-1960s conversation came with a catch: The listener wasn't human. Its name was Eliza, and it was a computer program that is now recognized as the first chatbot,

Bell Labs, the once-famed research arm of AT&T, celebrated the centennial of its founding last year. In its heyday, starting in the 1940s, the lab created a cascade of inventions, including the transistor, information theory and an enduring computer software language. The labs' digital DNA is in our smartphones, social media and chatbot conversations. Every hour of your day has a bit of Bell Labs in it, observed Jon Gertner, author of The Idea Factory, a history of the storied research center.

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance along curved surfaces. While working on one theorem, they ran into an unexpected roadblock: Their argument depended on a strange formula from number theory, but they were unable to solve or justify it. In the end, Chen and Gendron wrote a paper presenting their idea as a conjecture, rather than a theorem.

As AI systems become more capable, more accessible, and more embedded in everyday workflows, creativity is emerging as one of the most important human skills in AI development and deployment. Not creativity as decoration or aesthetics, but creativity as problem framing, decision-making, and human judgment. In an era where many organizations are using the same models, tools, and platforms, creative thinking is what separates meaningful outcomes from generic ones.

The tweaks to Sonnet 4.6 have taken it past the pricier Opus 4.6 in two of 13 benchmark categories: agentic financial analysis (Finance Agent v1.1, 63.3 percent vs. 60.1 percent) and office tasks (GDPVal-AA Elo, 1633 vs. 1606). Opus 4.6 wins in six of the 13 categories, in tests that show rival Gemini 3 Pro and GPT-5.2 each leading in 2 of 13 categories. But benchmark tests should not be taken too seriously.

Even if you have the world's best personal assistant, they don't, they can't remember every word you've ever said in your life, they can't have read every email, they can't have read every document you've ever written, they can't be looking at all your work every day and remembering every little detail, they can't be a participant in your life to that degree. No human has like infinite, perfect memory,

Beyond the chatbots and productivity tools that have dominated public attention, AI is extending the reach of cutting-edge science and helping scientists globally tackle some of the greatest challenges facing their communities. This profound shift remains underappreciated-and it is leaving the technology's immense benefits largely untapped. Unlocking AI's potential to accelerate science is a defining goal for both of us.