Solving Hilbert's fifth problem in 1952 established Leo Zippin as a significant figure in twentieth-century mathematics. Working alongside Deane Montgomery and Andrew M. Gleason, he provided a definitive resolution to a challenge that had long occupied the field of transformation groups. His career spanned several American academic institutions, leaving behind a legacy defined by rigorous foundational research and influential publications.
Early Education and Academic Training
Born in New York City in 1905, Zippin completed his secondary schooling at Central High School between 1919 and 1922. He subsequently attended the University of Pennsylvania, where he spent seven years from 1922 to 1929 completing his undergraduate and graduate requirements. During this time, he worked under the guidance of his doctoral adviser, John Robert Kline.
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Zippin held a variety of academic positions across the United States. His career trajectory included a tenure at Princeton University from 1931 to 1932, followed by a three-year post at the Institute for Advanced Study beginning in 1933. He later served on the faculty at Queens College during two distinct periods, initially from 1938 to 1942 and returning for a longer tenure from 1945 until his retirement in 1971. In 1942, he also contributed his expertise to the Ballistic Research Laboratory.
Mathematical Contributions
Beyond his collaborative success regarding Hilbert's fifth problem, Zippin authored the book The Uses of Infinity. He also co-authored the monograph Topological Transformation Groups with Deane Montgomery. His professional standing was formally recognized through his membership in the American Academy of Arts and Sciences. He remained active in his field in New York City until his death in 1995.
Fast facts
- Born: 1905, New York City
- Died: 1995, New York City
- Education: University of Pennsylvania (1922-1929)
- Key collaborator: Deane Montgomery
- Notable achievement: Solution to Hilbert's fifth problem (1952)
- Academic affiliation: Queens College (1945-1971)
- Professional membership: American Academy of Arts and Sciences
Questions readers ask
What is Leo Zippin best known for?
He is best known for his 1952 collaboration with Deane Montgomery and Andrew M. Gleason that solved Hilbert's fifth problem.
Where did Zippin spend most of his teaching career?
He taught at Queens College, where he held positions from 1938 to 1942 and again from 1945 to 1971.
Achievements
- Notable work: Hilbert's fifth problem
- Held posts at Queens College, Princeton University and Institute for Advanced Study
