David Mumford

David Mumford is an algebraic geometer, who sharply switched at some point in his career to study of pattern recognition. His contributions include the creation of modern geometric invariant theory (as a method of building moduli spaces), introduction of Deligne-Mumford stack and especially of the Deligne-Mumford compactification of the moduli space of curves, famous example of Mumford-Tate curve, Mumford cohomological classes on the moduli space of curves, Mumford conjecture (recently proved by Madsen and Weiss), classification of algebraic surfaces in positive characteristics and solutions to a number of difficult problems in mainstream algebraic geometry. He is also well known for clear exposition, and wrote several books on algebraic geometry (Tata lectures on theta, Geometric invariant theory, “Red book”…).

Scans of most, if not all, his papers are available at his

category: people

Last revised on October 10, 2014 at 04:52:03. See the history of this page for a list of all contributions to it.