Walter Borho (born 17 December 1945, in

Hamburg (male), (female) en, Hamburger(s), Hamburgian(s) , timezone1 = Central (CET) , utc_offset1 = +1 , timezone1_DST = Central (CEST) , utc_offset1_DST = +2 , postal ...

) is a German

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, who works on

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...

and

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

. Borho received his PhD in 1973 from the

University of Hamburg The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vor ...

under the direction of

Ernst Witt Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Biography Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the ...

with

thesis A thesis ( : theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: ...

''Wesentliche ganze Erweiterungen kommutativer Ringe''. He is a professor at the

University of Wuppertal The University of Wuppertal (''Universität Wuppertal'') is a German scientific institution, located in Wuppertal, in the state of North Rhine-Westphalia, Germany. The university's official name in German is ''Bergische Universität Wuppertal'' ...

. Borho does research on

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

Lie algebras In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow ...

ring theory In algebra, ring theory is the study of rings— algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers. Ring theory studies the structure of rings, their re ...

and also on

(

amicable numbers Amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number. That is, σ(''a'')=''b'' and σ(''b'')=''a'', where σ(''n'') is equal to the sum of positive di ...

) and tilings. In 1986 he was an

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

Berkeley Berkeley most often refers to: *Berkeley, California, a city in the United States **University of California, Berkeley, a public university in Berkeley, California * George Berkeley (1685–1753), Anglo-Irish philosopher Berkeley may also refer ...

(''Nilpotent orbits, primitive ideals and characteristic classes – a survey'').

Publications

* *Borho,

Don Zagier Don Bernard Zagier (born 29 June 1951) is an American-German mathematician whose main area of work is number theory. He is currently one of the directors of the Max Planck Institute for Mathematics in Bonn, Germany. He was a professor at the ''Co ...

''et al.'': ''Lebendige Zahlen'', Birkhäuser 1981 (containing Borho's ''Befreundete Zahlen'' micable Numbers *with Peter Gabriel, Rudolf Rentschler: ''Primideale in Einhüllenden auflösbarer Lie-Algebren'', Springer Verlag, Lecture Notes in Mathematics, vol. 357, 1973 *with Klaus Bongartz, D. Mertens, A. Steins: ''Farbige Parkette. Mathematische Theorie und Ausführung auf dem Computer'' olored tilings: mathematical theory and computer implementation Birkhäuser 1988 *with

Jean-Luc Brylinski Jean-Luc Brylinski (born in 1951) is a French- American mathematician. Educated at the Lycée Pasteur and the École Normale Supérieure in Paris, after an appointment as researcher with the C. N. R. S., he became a Professor of Mathematics at ...

, Robert MacPherson: ''Nilpotent orbits, primitive ideals and characteristic classes. A geometric perspective in ring theory'', Birkhäuser 1989 *with Karsten Blankenagel, Axel vom Stein:

References

External links

* 20th-century German mathematicians 21st-century German mathematicians 1945 births Living people University of Hamburg alumni University of Wuppertal faculty {{Germany-mathematician-stub