Levent Alpöge

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Levent Hasan Ali Alpöge is an American and Turkish mathematician. He was a Junior Fellow in the Harvard Society of Fellows and later joined the artificial-intelligence company Anthropic as a member of the technical staff. He is known for his work in number theory and arithmetic statistics. In 2025, he and collaborators demonstrated that Hilbert's tenth problem has a negative answer over the ring of integers of every algebraic number field.

Updated 9 September 2026

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