Jonathan Lazare Alperin

Jonathan Lazare Alperin (; June 2, 1937 – June 22, 2025) was 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.

Biography Alperin attended Princeton University and wrote his Ph.D. dissertation On a Special Class of Regular p-Groups (1961) under the direction of Graham Higman. He was awarded a Guggenheim Fellowship in 1974. He has several times (1969, 1979, and 1983) been a visiting scholar at the Institute for Advanced Study. In 2012 he became a fellow of the American Mathematical Society.

Alperin was a professor at the University of Chicago. He published over 60 papers; his work has been cited over 500 times.

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.

Alperin died on June 22, 2025, at the age of 88.

Selected bibliography