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23 Jul 2026

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Four Young Mathematicians Awarded the 2026 Fields Medals

Scientific American reports that the 2026 Fields Medals went to four mathematicians for work ranging from the theory of knots to the motion of fluid: The Fields Medals went to Hong Wang of New York University and France's Institute of Advanced Scientific Studies (IHES), Yu Deng of the University of Chicago, John Pardon of Stony Brook University and Jacob Tsimerman of the University of Toronto. In the awards' 90-year history, Wang is only the third woman to win one, after mathematicians Maryam Mirzakhani and Maryna Viazovska in 2014 and 2022, respectively. Wang and Deng represent the prizes' only Chinese-born recipients besides mathematician Shing-Tung Yau, who won a Fields Medal in 1982. Hong Wang co-proved the three-dimensional Kakeya conjecture, establishing a fundamental limit on how little space is needed to rotate a line through every possible direction. Mathematician Nets Katz called it the field's "holy grail" problem and said the achievement made her "a central figure" in the area. Yu Deng and his collaborators reconciled the microscopic and macroscopic mathematics of fluid motion, proving that equations describing chaotic molecular interactions and large-scale fluid behavior are fundamentally connected. N.Y.U. mathematician Scott Armstrong called it "a truly spectacular, singular result." John Pardon made an early breakthrough in knot theory by proving that certain sequences of knots can have arbitrarily large "distortion," a measure of how difficult they are to traverse. Princeton mathematician David Gabai said the problem had "attracted much interest among mathematicians during the previous 25 years." Jacob Tsimerman and two collaborators proved the Andre-Oort conjecture, giving mathematicians a stronger way to understand special points on complex geometric objects known as Shimura varieties. Collaborator Jonathan Pila described him as "a brilliant mathematician" known for his "brilliance and resourcefulness." Tsimerman has also advanced Hodge theory and hopes pure mathematics can help researchers better understand AI.

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What happened to TheNumbers.com

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23 Jul 2026 4:53pm GMT

The arguments against open source AI are bad

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23 Jul 2026 4:49pm GMT

Launch HN: Screenpipe (YC S26) – Power your agents by your 24/7 screen recording

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23 Jul 2026 4:48pm GMT

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Startup Founders Urge Trump Not to Shut Off Chinese Open Weight AI

Nearly 200 Silicon Valley companies, including Proton and Y Combinator, are urging the Trump administration not to block U.S. access to Chinese open-weight AI models or risk crippling the next generation of U.S. startups. Politico reports: On Wednesday, the newly-formed Little Tech Association sent letters to President Donald Trump, Commerce Secretary Howard Lutnick and others in the administration with its appeal, marking the first coordinated effort by Silicon Valley's wider influential startup community to weigh in on one of the Trump administration's most closely watched AI debates. At issue: whether Washington should restrict access to increasingly powerful open-weight -- meaning, AI models whose weights are publicly available -- AI models released by Chinese companies such as Moonshot AI and Alibaba. "American leadership requires two things: world-leading American open-weight models and continued access for U.S. builders to open models already available worldwide," the startup founders wrote in the letter (PDF) obtained by POLITICO, also sent to Office of Science and Technology Policy Director Michael Kratsios. Instead of broad prohibitions, they argue the government should adopt targeted safeguards. And they warn that banning Americans from downloading Chinese open-weight models wouldn't stop their proliferation -- but would weaken U.S. startups. "There'll be hundreds of companies that instantly die," said Suhail Doshi, founder of AI infrastructure startup Particle and a member of the association, which POLITICO first wrote about exclusively, in an interview. "It's great for Anthropic. We're all going to have to spend money on Anthropic." Last week, the Beijing-based AI company "Moonshot" released a massive new model that reset the AI race overnight, immediately vaulting into the top tier of global AI, beating Anthropic's Fable 5 and OpenAI's GPT-5.6 Sol in front-end coding tests. China's Xi Jinping also used his first appearance at China's World AI Conference to promote a vision of low-cost, broadly accessible AI and call for international cooperation rather than technological rivalry.

Researchers Discover First Known Transmissible Cancer In Fish

An anonymous reader quotes a report from CBC News: It's rare that cancerous tumors can spread from one individual to another. But a genetic study suggests that's what's happening with melanoma tumors among catfish in Quebec and the northeastern U.S. The discovery represents the first known transmissible cancer in fish and one of very few transmissible cancers ever found, reported the study published in the journal Nature on Wednesday. Julie Dragon, co-leader of the new study, noted that only three other transmissible cancers have ever been identified so far -- in Tasmanian devils, dogs and shellfish. "These conditions are incredibly rare in nature," she said. "So something has to be happening to allow this to happen." Anglers in Lake Memphremagog, which spans the border between Quebec and Vermont, first reported catching brown bullhead catfish with strange black spots and lumps in 2012. They turned out to be melanoma skin cancer tumors. (Humans can also get this kind of cancer.) Now, about a third of the brown bullheads living in the lake have them. It's not clear how sick the fish become. In some cases, the cancer spreads to other organs, such as the brain or liver. But many fish with lesions seem relatively healthy and some older fish even have them, suggesting they can live with the disease for a time. Because of the sudden appearance of the black lesions in Lake Memphremagog the year after a huge flood caused by post-tropical storm Irene, locals worried they were caused by carcinogens washed into the lake by floodwaters. Tests for carcinogens haven't been conclusive, although a study published in May found higher concentrations of seven metals, including zinc and the carcinogen arsenic, in the skin of fish with the tumors. Researchers suspect the tumors may spread among adult fish during spawning, when crowded fish rub against one another and may be punctured by their spines. "They... swim all over each other and we think it's possible that they poke each other and cells can get into other fish that way," Dragon said, though transmission has not yet been demonstrated.