Hee Oh is the Abraham Robinson Professor of Mathematics at Yale University. She received her B.S. from Seoul National University in 1992, and her Ph.D. from Yale University in 1997 with Gregory Margulis as her advisor. Her thesis was Discrete subgroups generated by lattices in opposite horospherical subgroups, resolving most cases of the Selberg-Margulis conjecture.
Hee Oh’s main areas of research include discrete subgroups of Lie groups, homogeneous dynamics and its connections to number theory and geometry. Oh’s most renowned work is her study with Kontorovich on the distribution of circles of bounded curvature in Apollonian gaskets and related Diophantine problems. Oh’s other fundamental contributions include quantitative decay of matrix coefficients of unitary representations, effective equidistribution of Hecke points to counting rational solutions of Diophantine equations, geometric analogues of the prime number theorem for rational maps, analogues to Selberg’s 3/16 theorem for thin congruence subgroups and the study of orbits of thin groups arising in Diophantine problems. Her more recent collaborative work includes the classification of all possible closures of unipotent flows, and the consequent topological rigidity of geodesic planes, for a class of hyperbolic manifolds of infinite volume. This establishes the first instance of orbit closure theorem à la Ratner in the infinite volume setting.
She was awarded the 2015 Satter Prize, a 2017 Guggenheim Fellowship, and the 2018 Ho-Am prize in Science, and is an inaugural Fellow of the American Mathematical Society. In 2021, Oh was appointed the Vice President of the American Mathematical Society.