Английская Википедия:Hale Trotter
Шаблон:Short description Шаблон:Infobox scientist Hale Freeman Trotter (30 May 1931 – 17 January 2022)[1][2] was a Canadian-American mathematician, known for the Lie–Trotter product formula,[3] the Steinhaus–Johnson–Trotter algorithm, and the Lang–Trotter conjecture. He was born in Kingston, Ontario.[1] He died in Princeton, New Jersey on January 17, 2022.
Biography
The son of historian Reginald George Trotter, Hale Trotter studied at Queen's University in Kingston with bachelor's degree in 1952 and master's degree in 1953. He received in 1956 his PhD from Princeton University under William Feller with thesis Convergence of semigroups of operators.[4] Trotter was from 1956 to 1958 at Princeton University the Fine Instructor for mathematics and from 1958 to 1960 an assistant professor at Queen's University. He was from 1962 to 1963 a visiting associate professor, from 1963 to 1969 an associate professor, and from 1969 until his retirement a full professor at Princeton University. From 1962 to 1986 he was an associate director for Princeton University's data center.
Trotter's research dealt with, among other topics, probability theory, group theory computations, number theory, and knot theory. In 1963, he solved an open problem in knot theory by proving that there are non-invertible knots.[5] At the time of his proof, all knots with up to 7 crossings were known to be invertible. Trotter described an infinite number of pretzel knots that are not invertible.
Selected publications
Articles
- Шаблон:Cite journal
- Шаблон:Cite journal
- Шаблон:Cite journal
- Шаблон:Cite journal
- Шаблон:Cite journal
- Шаблон:Cite journal
- Шаблон:Cite journal
Books
References
External links
- Hale Trotter, Department of Mathematics, Princeton University
- Selected advances in knot theory, CSI Math, cuny.edu
- ↑ 1,0 1,1 biographical information from American Men and Women of Science, Thomson Gale 2004
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite journal
- ↑ Шаблон:MathGenealogy
- ↑ Шаблон:Cite journal
- Английская Википедия
- 1931 births
- 2022 deaths
- People from Kingston, Ontario
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- Princeton University faculty
- Queen's University at Kingston alumni
- 20th-century American mathematicians
- 21st-century American mathematicians
- 20th-century Canadian mathematicians
- 21st-century Canadian mathematicians
- Canadian emigrants to the United States
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