Peter Albert Loeb (July 3, 1937 – November 20, 2024) was a mathematician at the University of Illinois at Urbana–Champaign.
He received his MS at Princeton University in 1961, and his PhD in mathematics from Stanford University in 1964 with a thesis supervised by Halsey Royden[1][2] with a thesis titled An Axiomatic Treatment of Pairs of Elliptic Differential Equations.
[4] He co-authored a basic reference text on nonstandard analysis (Hurd–Loeb 1985).
Reviewer Perry Smith for MathSciNet wrote: The notion of Loeb measure named after him has become a standard tool in the field[6] and is considered "likely to be his most enduring legacy".
[7] Loeb died of a brain tumor at home in Urbana on November 20, 2024.