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math.HO2026
The Siren Call of Silicon Leviathan: Reflections on blowup and Aufklärungsdämmerung
Alexander Gamburd
Over three centuries ago our Enlightenment forefathers brought forth in Europe--and later on this continent--a new approach to knowledge production and dissemination, conceived in…
math.NT2026
On indefinite integral ternary quadratic forms
Alexander Gamburd, Amit Ghosh, Peter Sarnak +1
We resolve two problems pertaining to indefinite integral ternary quadratic forms, one highlighted by Margulis and the other initiated by Serre, both from 1990. To do so we develop…