Hale Trotter

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Hale Freeman Trotter (born May 30, 1931 in Kingston , Ontario ) is a Canadian - American mathematician .

Hale Trotter, Berkeley 1978

Trotter studied at Queen's University in Kingston with a bachelor's degree in 1952 and a master's degree in 1953 and received his doctorate in 1956 under Willy Feller at Princeton University ( Convergence of semigroups of operators ). From 1956 to 1958 he was Fine Instructor in Mathematics at Princeton and from 1958 to 1960 Assistant Professor at Queen's University. From 1962 he was Visiting Associate Professor , from 1963 Associate Professor and from 1969 Professor at Princeton University. From 1962 to 1986 he was Associate Director of the data center there.

He dealt with probability theory , but also with group theory (including computer calculations), number theory and knot theory . In 1963 he solved a hitherto open problem in knot theory by showing that there are non-invertible knots. For example, all nodes with up to seven crossings were previously known to be invertible. Trotter described an infinite family of pretzel knots that were not invertible. The Lie-Trotter product formula is associated with its name.

Fonts

  • with Richard Williamson, Richard Crowell Calculus of vector functions , Prentice-Hall 1972
  • with Williamson Multivariable Mathematics , Prentice-Hall 1995
  • with Serge Lang Frobenius distributions in GL2-extensions: distribution of Frobenius automorphisms in GL2-extensions of the rational numbers , Lecture Notes in Mathematics 504, Springer Verlag 1976

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ↑ Trotter: Non-invertible knots exist, Topology, 2 (1963), 272-280
  4. ↑ HF Trotter: On the product of semi-groups of operators , Proc. Amer. Math. Soc. (1959), Volume 10, pages 545-551
personal data
SURNAME Trotter, Hale
ALTERNATIVE NAMES Trotter, Hale Freeman (full name)
BRIEF DESCRIPTION Canadian-American mathematician
DATE OF BIRTH May 30, 1931
PLACE OF BIRTH Kingston , Ontario