Walter Borho

Walter Borho (born 1945) is a German mathematician, who works on algebra and number theory. He is retired as a University Professor at the University of Wuppertal. ^[1]

Early life and education

Borho was born in 1945 in Hamburg. ^[2] He 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. ^[3]

Awards and honors

In 1986 he was an invited speaker at the International Congress of Mathematicians in Berkeley, California. ^[4]

Selected publications

Books

• Borho, Walter; Gabriel, Peter; Rentschler, Rudolf (1973). Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume). Lecture Notes in Mathematics. Vol. 357. Berlin-New York: Springer-Verlag. MR   0376790. Zbl   0293.17005.
• Borho, Walter; Zagier, Don; Rohlfs, Jürgen; Kraft, Hanspeter; Jantzen, Jens Carsten (1981). Lebendige Zahlen. Fünf Exkursionen[Living Numbers. Five Excursions]. Mathematische Miniaturen. Birkhäuser. Zbl   0539.10001. Translated into Russian by Mir, 1985, Zbl   0669.10001.
• Bongartz, K.; Borho, W.; Mertens, D.; Stein, A. (1988). Farbige Parkette. Mathematische Theorie und Ausführung mit dem Computer. Vier Aufsätze zur ebenen Kristallographie[Coloured tesselations. Mathematical theory and realization with the computer. Four essays on plane crystallography]. Birkhäuser. ISBN   3-7643-2223-3. Zbl   0648.20052.
• Borho, W.; Brylinski, J.-L.; MacPherson, R. (1989). Nilpotent orbits, primitive ideals, and characteristic classes: A geometric perspective in ring theory. Progress in Mathematics. Vol. 78. Birkhäuser. doi:10.1007/978-1-4612-4558-2. ISBN   0-8176-3473-8. MR   1034480. Zbl   0697.17006.

Research articles

• Borho, Walter (1972). "On Thabit ibn Kurrah's formula for amicable numbers". Mathematics of Computation. 26: 571–578. doi:10.2307/2005185. JSTOR   2005185. MR   0313177. Zbl   0237.10012.
• Borho, Walter; Kraft, Hanspeter (1976). "Über die Gelfand-Kirillov-Dimension" [On the Gelfand–Kirillov dimension]. Mathematische Annalen. 220 (1): 1–24. doi:10.1007/BF01354525. MR   0412240. Zbl   0306.17005.
• Borho, Walter; Kraft, Hanspeter (1979). "Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen". Commentarii Mathematici Helvetici. 54 (1): 61–104. doi:10.1007/BF02566256. MR   0522032. Zbl   0395.14013.
• Borho, Walter; Brylinski, Jean-Luc (1982). "Differential operators on homogeneous spaces. I. Irreducibility of the associated variety for annihilators of induced modules". Inventiones Mathematicae. 69 (3): 437–476. doi:10.1007/BF01389364. MR   0679767. Zbl   0504.22015.
• Borho, W.; Brylinski, J.-L. (1985). "Differential operators on homogeneous spaces. III. Characteristic varieties of Harish-Chandra modules and of primitive ideals". Inventiones Mathematicae. 80 (1): 1–68. doi:10.1007/BF01388547. MR   0784528. Zbl   0577.22014.

References

1. "Emeritiert, Pensioniert, Ausgeschieden". Rektoratsbericht (PDF). University of Wuppertal. 2010. p. 46. Retrieved 12 March 2025.
2. "Borho, Walter". Katalog der Deutschen Nationalbibliothek. Retrieved 12 March 2025.
3. Walter Borho at the Mathematics Genealogy Project
4. "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved 12 March 2025.