There are several conjectures in mathematics by David Mumford.
* Mumford's conjecture about reductive groups, now called Haboush's theorem.
* The Mumford conjecture on the cohomology of the stable mapping class group, proved by Ib Madsen and Michael Weiss (mathematician), Michael Weiss.
* The Manin-Mumford conjecture about Jacobian variety, Jacobians of curves, proved by Michel Raynaud.
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