|Born||June 24, 1880|
Decorah, Iowa, U.S.
|Died||August 10, 1960 (aged 80)|
Brooklin, Maine, U.S.
|Alma mater||University of Iowa|
University of Chicago
Institute for Advanced Study
|Thesis||A System of Axioms for Geometry (1903)|
|Doctoral advisor||E. H. Moore|
|Doctoral students||J. W. Alexander|
H. Roy Brahana
Howard H. Mitchell
Robert Lee Moore
J. H. C. Whitehead
Oswald Veblen (June 24, 1880 - August 10, 1960) was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity. He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof of the theorem, many now also consider Camille Jordan's original proof rigorous.
Veblen was born in Decorah, Iowa. His parents were Andrew Anderson Veblen (1848-1932), Professor of Physics at the University of Iowa, and Kirsti (Hougen) Veblen (1851-1908). Veblen's uncle was Thorstein Veblen, noted economist and sociologist.
Oswald went to school in Iowa City. He did his undergraduate studies at the University of Iowa, where he received an A.B. in 1898, and Harvard University, where he was awarded a second B.A. in 1900. For his graduate studies, he went to study mathematics at the University of Chicago, where he obtained a Ph.D. in 1903. His dissertation, A System of Axioms for Geometry was written under the supervision of E. H. Moore. During World War I, Veblen served first as a captain, later as a major in the United States Army.
Veblen taught mathematics at Princeton University from 1905 to 1932. In 1926, he was named Henry B. Fine Professor of Mathematics. In 1932, he helped organize the Institute for Advanced Study in Princeton, resigning his professorship to become the first professor at the Institute that same year. He kept his professorship at the Institute until he was made emeritus in 1950.
During his years in Princeton, Veblen and his wife, Elizabeth M D Richardson, accumulated land along the Princeton Ridge. In 1957 they donated 82 acres (33 ha) to establish the Herrontown Woods Arboretum, one of the largest nature preserves in Princeton, New Jersey.
Veblen died in Brooklin, Maine, in 1960 at age 80. After his death the American Mathematical Society created an award in his name, called the Oswald Veblen Prize in Geometry. It is awarded every three years, and is the most prestigious award in recognition of outstanding research in geometry.
During his career, Veblen made important contributions in topology and in projective and differential geometries, including results important in modern physics. He introduced the Veblen axioms for projective geometry and proved the Veblen-Young theorem. He introduced the Veblen functions of ordinals and used an extension of them to define the small and large Veblen ordinals. In World War II he was involved in overseeing ballistics work at the Aberdeen Proving Ground that involved early modern computing machines, in particular supporting the proposal for creation of the pioneering ENIAC electronic digital computer. He also published a paper in 1912 on the four-color conjecture.
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