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Jonathan Lazare Alperin is an American mathematician specializing in the area of algebra known as group theory. He is notable for his work in group theory which has been cited over 500 times according to the Mathematical Reviews. The Alperin–Brauer–Gorenstein theorem is named after him.
He attended school at Princeton University and wrote his Ph.D. dissertation in 1961 "On a Special Class of Regular p-Groups" under the direction of Graham Higman. He was awarded a Guggenheim Fellowship in 1974. He has several times been a visiting scholar at the Institute for Advanced Study. In 2012 he became a fellow of the American Mathematical Society.
Alperin is a professor at the University of Chicago where he has had 22 students and 30 descendants. He has published over 60 papers and his work has been cited over 500 times. He has an Erdős number of 3.
He is also known for his conjecture, a topic of current research in modular representation theory, and for his work on the local control of fusion, part of local group theory. In, the Alperin–Brauer–Gorenstein theorem was proven, giving the classification of finite simple groups with quasi-dihedral Sylow 2-subgroups.
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