Alexander J. Hahn

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Alexander J. Hahn (born September 9, 1943 in Bielitz , Poland ) is an American mathematician who studies algebra.

Hahn studied at Loyola University Los Angeles with a bachelor's degree in 1965 and at the University of Notre Dame , where he received his master's degree in 1968 and his doctorate in 1970 with Timothy O'Meara (On the isomorphisms of the classical groups over infinite fields). As a post-doctoral student , he was a Fellow of the National Science Foundation in West Germany. He has been Assistant Professor since 1973, Associate Professor since 1978 and Professor of Mathematics at the University of Notre Dame since 1984.

In 1982/83 he was visiting professor at the University of California, Santa Barbara . In 1988 he was at the University of Innsbruck.

He deals with orthogonal groups and other classical groups on bodies and integrity rings and in number theory, with quadratic and Hermitian forms, their Witt groups, K-theory, Clifford algebras and Azumaya algebras.

He also deals with the history of science, for example the experiments of Galileo Galilei . He wrote a popular science book on mathematics in architecture.

He has been married since 1972 and has one child.

Fonts

  • Basic Calculus. From Archimedes to Newton to its role in science , Springer Verlag 1998 (also translated into Japanese)
  • Mathematical Excursions to the World's Great Buildings , Princeton University Press 2011
  • with Timothy O'Meara: The classical groups and K-theory , Grundlehren der Mathematischen Wissenschaften 291, Springer Verlag 1989
  • Quadratic forms over Z. From Diophantus to the 290 Theorem , Advances in Applied Clifford Algrebras, Volume 18, 2008, pp. 665-676
  • Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups , Universitext, Springer Verlag 1994
  • The Zassenhaus Decomposition for the Orthogonal Groups: Properties and Applications , Documenta Mathematica, 2001, pp. 165-181
  • The Clifford Algebra in the Theory of Algebras, Quadratic Forms, and Classical Groups , in Rafal Ablamowicz (Editor) Clifford Algebras - Applications to Mathematics, Physics, and Engineering , Progress in Mathematical Physics 34, Birkhäuser Verlag, 2004, Chapter 19, p. 307-325

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Hahn, Alexander J.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH September 9, 1943
PLACE OF BIRTH Bielitz