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Jeremy Kahn
Position: Distinguished Professor
Phone: 212-817-8540
Room Number: 4214.02
Degrees/Diplomas: Ph.D., University of California, Berkeley
Research Interests: hyperbolic geometry and complex dynamics
Jeremy Kahn, who has made a name for himself for his elegant and original solutions to several deep and long-standing problems, will join the Ph.D. Program in Mathematics as a distinguished professor, effective Fall 2013. One of Kahn’s fields is hyperbolic geometry, the whole idea of which, he said, “is that the parallel lines do not maintain a constant distance as they do in Euclidean geometry. The lines remain straight, but the space where the lines are is curved.” Kahn recently solved, with Vladimir Markovic of Caltech, the “Ehrenpreis conjecture,” which many mathematicians had worked on for decades. The first half of the solution also proved the “surface subgroup conjecture,” and led to proof of the topologist William Thurston’s “fibration conjecture.” For their work on the Ehrenpreis and the surface subgroup conjectures, Kahn and Markovic were honored with the 2012 Clay Research Award by the Clay Mathematics Institute. Kahn’s research in another field, complex dynamics, drew this statement from Curt McMullen of Harvard: “… his work with [Mikhail] Lyubich…represents one of the biggest breakthroughs in complex dynamics in the past decade.” Dennis Sullivan, the Graduate Center’s Einstein Professor, credits Kahn with having “invented powerful…tools allowing him to solve difficult problems in unexpected ways which are published in the arguably premier math journal on the planet…three consecutive papers in the Annals of Mathematics.” Other articles, authored or coauthored, have appeared in Geometric and Functional Analysis; Journal of Complexity; SIAM Journal on Discrete Mathematics; Annales scientifiques de l’École normale supérieure; and Journal of Difference Equations and Applications. A native New Yorker and a child of two CUNY graduates, Kahn graduated from Harvard with a degree in mathematics and earned his Ph.D. from University of California, Berkeley. He comes to the Graduate Center from Brown University, where he served as professor of mathematics