Danny Calegari

Professor 
Department of Mathematics and the College

Danny Calegari works on geometry, topology, and dynamics in low dimensions. In 2004, in collaboration with David Gabai, he proved Marden’s tameness conjecture, thereby proving at the same time the well-known Ahlfors conjecture on measures of limit sets of Kleinian groups (these conjectures were also proved independently by Agol at about the same time); he received the 2009 Clay Research Award in recognition. Calegari has also worked on the theory of taut foliations and on the theory of stable commutator length. As a participant in other discoveries, he proved the positivity of the universal manifold pairing in dimension 3, answering a well-known question of Alexei Kitaev, and he has also shown that “most groups” (in the precise sense of the random groups model of Gromov) contain surface subgroups. 

Calegari is a fellow of the American Mathematical Society and was a recipient of a Royal Society Wolfson Research Merit Award. He gave the Namboodiri lectures at the University of Chicago and the Blumenthal lectures at the University of Tel Aviv. 

Previously, Calegari held academic positions at Harvard University, the California Institute of Technology (where he was the Richard Merkin Distinguished Professor of Mathematics), and most recently the University of Cambridge, where he served as University Professor (Chair) of Pure Mathematics. He obtained a PhD in mathematics from the University of California, Berkeley. 

Calegari joined the University of Chicago faculty in 2013.

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