Texts
The Millennium Puzzle: The Navier–Stokes Equations and the Unsettling September of 2026
September brought a flurry of developments in the use of AI in mathematics. The biggest, though far from the only one, was OpenAI’s publication of a solution to the Millennium Prize Problem concerning the Navier–Stokes equations. The announcement set off a heated debate about AI’s impact on the future of science. T-invariant looks at OpenAI’s result and the events that followed it (spoiler: mathematics has changed, and it was AI that changed it).
An Expedition to Prison: Why Philosopher Nikolay Zyuzev Was Sentenced to Seven Years
The Supreme Court of the Komi Republic has sentenced philosopher Nikolay Zyuzev to seven years in a strict-regime penal colony on treason charges. Zyuzev, who holds both Russian and Canadian citizenship, is one of the best-known scholars of the legacy of the Russian-American sociologist Pitirim Sorokin. He left Russia after the war began, but in the summer of 2025 he returned to his native village in Komi [a republic in northwestern Russia — T-invariant], where he was arrested. According to the FSB, the scholar was training leaders of national liberation movements among Russia’s small Indigenous peoples and receiving funding for his project from foreign organizations. T-invariant looks at what Zyuzev worked on, why he kept coming back to Russia, and what his friends and colleagues make of the treason charges.
Austin Sarat: “Fear Is My Friend”
Renowned American legal scholar Austin Sarat, a founder of the humanistic study of law, on the responsibility of public intellectuals in the United States, the bracing “slap in the face” Trump dealt to universities, and the path forward in defending academic freedom and democracy.
Chronicle of the Persecution of Scientists No. 36
T-invariant is publishing its latest regular report, Chronicle of the Persecution of Scientists No. 36, dated August 31, 2026. Azat Miftakhov has published a paper in the French quarterly La Revue de la filière mathématiques (June–August 2026). The paper was written at the suggestion of French mathematician Bernard Randé, a member of the journal’s editorial board and of the international association Solidarité FreeAzat. Miftakhov completed the work while held in prison in Dimitrovgrad.
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