Showcasing practical examples, projects, and case studies demonstrating how AI models and tools are being applied across various fields.
A one-bit summary can combine thousands of inputs, compute parity, take a threshold, or apply some elaborate Boolean rule. The Courtade Kumar conjecture says that for preserving information about a noisy copy of the input, this cleverness buys you nothing. The best one-bit summary is simply one original bit. Mathematically, let Xbe uniform on {-ⓜ,11}^n, … Read more
OpenAI has made one of the biggest mathematical claims of the AI era: its internal research system produced a proposed solution to the Navier Stokes problem, one of the seven Millennium Prize Problems. This is not a vague “AI found a proof” press release. OpenAI published a 166-page analytical paper, Finite Time Blowup for Navier–Stokes, … Read more
The claim that an AI generated drug slows aging sounds like a science-fiction milestone. Rentosertib did not prove that people became younger. In a 12-week Phase 2a trial in idiopathic pulmonary fibrosis (IPF), researchers analyzed serum from a subset of participants using six proteomic aging clocks. Across the treated groups, those models shifted toward younger … Read more
Fermat’s Last Theorem was solved decades ago. What changed in 2026 is that the proof can now be checked end to end by a computer. Anthropic says Claude worked largely autonomously for 11 days to produce the first complete machine-checked Fermat’s Last Theorem proof in Lean. The project generated about 13 million lines of Lean, … Read more
A personalized mRNA cancer vaccine has just crossed a line cancer researchers have been trying to reach for years. On August 19, 2026, Moderna and Merck announced that intismeran autogene, a made-to-order mRNA treatment combined with Keytruda, met key efficacy endpoints in a large Phase 3 melanoma trial. It reduced the risk of cancer returning … Read more
Protein design has spent the last few years becoming dramatically better at generating plausible molecules. Anthropic’s new result asks a different question: can a general-purpose AI agent run the whole campaign, make the design decisions, operate specialist models, and hand scientists a ranked set of proteins that actually bind in the lab? The answer, at … Read more
No, Claude did not solve the Riemann Hypothesis. That is the first fact to keep fixed while reading everything that follows. What Claude appears to have done is still striking. During an attempt on one of mathematics’ most famous open problems, an unreleased Anthropic research model found a new route to a related theorem about … Read more