Tammo tom Dieck (29 May 1938,

São Paulo São Paulo (, ; Portuguese for 'Saint Paul') is the most populous city in Brazil, and is the capital of the state of São Paulo, the most populous and wealthiest Brazilian state, located in the country's Southeast Region. Listed by the GaWC a ...

) is a German mathematician, specializing in

algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...

. Tammo tom Dieck studied mathematics from 1957 at the

University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...

and at

Saarland University Saarland University (german: Universität des Saarlandes, ) is a public research university located in Saarbrücken, the capital of the German state of Saarland. It was founded in 1948 in Homburg in co-operation with France and is organized in si ...

, where he received his

promotion Promotion may refer to: Marketing * Promotion (marketing), one of the four marketing mix elements, comprising any type of marketing communication used to inform or persuade target audiences of the relative merits of a product, service, brand or i ...

(Ph.D.) in 1964 under Dieter Puppe with thesis ''Zur

K

-Theorie und ihren Kohomologie-Operationen''. In 1969 tom Dieck received his

habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

Heidelberg University } Heidelberg University, officially the Ruprecht Karl University of Heidelberg, (german: Ruprecht-Karls-Universität Heidelberg; la, Universitas Ruperto Carola Heidelbergensis) is a public research university in Heidelberg, Baden-Württemberg, ...

under

Albrecht Dold Albrecht Dold (5 August 1928 – 26 September 2011) was a German mathematician specializing in algebraic topology who proved the Dold–Thom theorem, the Dold–Kan correspondence, and introduced Dold manifolds, Dold–Puppe stabilization, a ...

. From 1970 to 1975 he was a professor at Saarland University. In 1975 he became a professor at the University of Göttingen. Tammo tom Dieck is a world-class expert in algebraic topology and author of several widely-used textbooks in topology. He has done research on

Lie group In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additio ...

G-structure In differential geometry, a ''G''-structure on an ''n''- manifold ''M'', for a given structure group ''G'', is a principal ''G''- subbundle of the tangent frame bundle F''M'' (or GL(''M'')) of ''M''. The notion of ''G''-structures includes var ...

s, and

cobordism In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French '' bord'', giving ''cobordism'') of a manifold. Two manifolds of the same dim ...

. In the 1990s and 2000s, his research dealt with

knot theory In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are ...

(and its algebras) and

quantum group In mathematics and theoretical physics, the term quantum group denotes one of a few different kinds of noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras) ...

s. In 1986 he was an Invited Speaker with talk ''Geometric representation theory of compact Lie groups'' at the ICM in

Berkeley, California Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emer ...

. In 1984 he was elected a full member of the

Akademie der Wissenschaften zu Göttingen A German Akademie is a school or college, trade school or another educational institution. The word Akademie (unlike the words Gymnasium or Universität) is not protected by law and any school or college may choose to call itself Akademie. A Somm ...

. His doctoral students include Stefan Bauer and

Wolfgang Lück Wolfgang Lück (born 19 February 1957 in Herford) is a German mathematician who is an internationally recognized expert in algebraic topology. Life and work After receiving his '' Abitur'' from the Ravensberger Gymnasium in Herford in 1975, ...

. Tammo tom Dieck is a grandson of the architect Walter Klingenberg, a brother of the chemist Heindirk tom Dieck, and the father of the pianist Wiebke tom Dieck.

Selected publications

''Algebraic Topology.''
European Mathematical Society, 2008. * ''Topologie.'' 2nd edition, de Gruyter, 1991/2000. * ''Transformation Groups and Representation Theory.'' Lecture Notes in Mathematics, Springer, 1979.
''Transformation Groups.''
de Gruyter, 1987. * ''Steenrod-Operationen in Kobordismentheorien.'' Math. Z., vol. 107, 1968, pp. 380–401. * with Theodor Bröcker: ''Representations of compact Lie Groups.'' Springer, 1985. * with Theodor Bröcker: ''Kobordismentheorie.'' Springer (Lecture Notes in Mathematics), 1970. * with Ian Hambleton: ''Surgery theory and theory of representations.'' DMV Seminar, 1988. * with K. H. Kamps, Dieter Puppe: ''Homotopietheorie.'' Springer (Lecture Notes in Mathematics), 1970.

References

External links

*
Tammo tom Dieck, home page with publication list
GAU Göttingen {{DEFAULTSORT:Tom Dieck, Tammo 20th-century German mathematicians 21st-century German mathematicians Saarland University alumni University of Göttingen alumni Academic staff of the University of Göttingen 1938 births Living people