Walter Borho
Walter Borho (born 17 December 1945, in Hamburg) is a German mathematician, who works on algebra and number theory. He is a professor at the University of Wuppertal.
Education
[edit]Borho received his PhD in 1973 from the University of Hamburg under the direction of Ernst Witt with a thesis titled Wesentliche ganze Erweiterungen kommutativer Ringe.[1]
Research
[edit]Borho's research focuses on representation theory, Lie algebras, ring theory and also on number theory (amicable numbers) and tilings.
Awards and honors
[edit]In 1986 he was an invited speaker at the International Congress of Mathematicians in Berkeley (Nilpotent orbits, primitive ideals and characteristic classes – a survey).
Selected publications
[edit]- Borho, Walter (1972). "On Thabit ibn Kurrah's formula for amicable numbers". Math. Comp. 26 (118): 571–578. doi:10.2307/2005185. JSTOR 2005185. MR 0313177.
- Borho, Don Zagier et al.: Lebendige Zahlen, Birkhäuser 1981 (containing Borho's Befreundete Zahlen [Amicable Numbers])
- with Peter Gabriel, Rudolf Rentschler: Primideale in Einhüllenden auflösbarer Lie-Algebren, Springer Verlag, Lecture Notes in Mathematics, vol. 357, 1973[2]
- with Klaus Bongartz, D. Mertens, A. Steins: Farbige Parkette. Mathematische Theorie und Ausführung auf dem Computer [Colored tilings: mathematical theory and computer implementation], Birkhäuser 1988
- with Jean-Luc Brylinski, Robert MacPherson: Nilpotent orbits, primitive ideals and characteristic classes. A geometric perspective in ring theory, Birkhäuser 1989
- with Karsten Blankenagel, Axel vom Stein: Blankenagel, Karsten; Borho, Walter; Vom Stein, Axel (2003). "New amicable four-cycles". Math. Comp. 72 (244): 2071–2076. doi:10.1090/s0025-5718-03-01489-3. MR 1986823.
References
[edit]- ^ Walter Borho at the Mathematics Genealogy Project
- ^ Hochschild, G. (1975). "Review: Primideale in Einhüllenden auflösbarer Lie-Algebren, by Walter Borho, Peter Gabriel, and Rudolf Rentschler". Bull. Amer. Math. Soc. 81 (1): 39–40. doi:10.1090/s0002-9904-1975-13628-7.