Director of the Initiative on Data Science, Professor of Mathematics


Jeffrey Brock's research focuses on low-dimensional geometry and topology, particularly on spaces with hyperbolic geometry (the most prevalent kind of non-Euclidean geometry). His joint work with R. Canary and Y. Minsky resulted in a solution to the `ending lamination conjecture' of W. Thurston, giving a kind of classification theorem for hyperbolic 3-dimensional manifolds that are topologically finite in terms of certain pieces of `mathematical DNA' called laminations.

More recently, he has worked un understanding applications of geometry and topology to the structure of massive and complex data sets, and the implications of the increasing use of algorithms in science and society.

He received his undergraduate degree in mathematics at Yale University and his Ph.D. in mathematics from U.C. Berkeley, where he studied under Curtis McMullen. After holding postdoctoral positions at Stanford University and the University of Chicago, he came to Brown as an associate professor. He was awarded the Donald D. Harrington Faculty Fellowship to visit the University of Texas, and has had continuous National Science Foundation support since receiving his Ph.D. In 2008 he was awarded a John S. Guggenheim Foundation Fellowship. He and his wife Sarah live in Barrington, RI, with their two boys Elliot and Sam and their daughter Nora.

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