Mathematics and computing Archives

OpenAI claims huge maths breakthrough on a famed ‘Millennium Problem’0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- September 9, 2026
The motion of fluids is described by the Navier–Stokes equations, the focus of one of the thorniest problems in mathematics.Credit: Kertlis/Getty For the first time, a truly major open problem in mathematics has been solved by computer, according to OpenAI, which says it has cracked one of the ‘Millennium Problems’ related to the motion of
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Anthropic AI ‘formalizes’ proof of Fermat’s last theorem in just 11 days 0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- September 7, 2026
Mathematician Andrew Wiles completed the proof to Fermat’s last theorem in 1994, more than 350 years after Pierre Fermat proposed the conjecture.Credit: AP Photo/Charles Rex Arbogast/Alamy Fermat’s last theorem, one of the most celebrated mathematical results of the last half-century, has been turned into computer-verified code for the first time, using an advanced prototype of
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Heisuke Hironaka obituary: mathematician who smoothed out geometry’s complexities 0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- August 29, 2026
Credit: Smithsonian Institution Archives Heisuke Hironaka, a prominent figure in algebraic geometry, was renowned for his landmark 1964 proof of the “resolution of singularities”. His work provides a way to unravel complicated phenomena in geometric objects, such as cusps, spikes and self-intersections. This fundamental result is a standard ingredient in research across a wide swathe
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Computational ‘gym’ trains AI models to control turbulence 0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- August 22, 2026
Turbulent fluid flow is a persistent challenge in physics and engineering: it disrupts aviation and reduces the efficiency of wind turbines. In the body, disturbed blood flow can even contribute to problems in the circulatory system. Turbulence is also complex and unpredictable, so devising strategies to control it is notoriously difficult. Now, writing in Nature,
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Rudolph A. Marcus obituary: theoretical chemist who explained how electrons jump between molecules 0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- August 22, 2026
Credit: Science History Images/Alamy In just one month in the 1950s, Rudolph (Rudy) Marcus worked out the theory that for which he became famous. The Marcus theory of electron transfer predicts the rate at which an electron jumps from one molecule to another. This process is fundamental to molecular reactions, biological processes such as respiration
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Mathematics holds the secret to ‘ladder-proof’ knitting 0
- SCIENCE, Science / Health, Science Mission Directorate, scientists, Space, Space Communications & Navigation Program, Space Launch System (SLS), Space Telescope, space-x-ipo, SpaceX
- August 19, 2026
Shimamoto, D. S., Shimamoto, K., Mahmoudi, S. & Poincloux, S. Phys. Rev. X 16, 031006 (2026). Article Google Scholar Singal, K. et al. Nature Commun. 15, 2622 (2024). Article PubMed Google Scholar Spencer, D. J. Knitting Technology: A Comprehensive Handbook and Practical Guide 3rd edn (CRC Press, 2001). Google Scholar Sanchez, V. et al. Adv.
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