Ib Henning Madsen (born 12 April 1942, in

Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...

)Curriculum vitae
retrieved 3 February 2013. is a Danish mathematician, a professor of mathematics at the

University of Copenhagen The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public research university in Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia after Uppsala Unive ...

. He is known for (with

Michael Weiss Michael Weiss may refer to: Sports * Michael Weiss (figure skater) (born 1976), American former figure skater * Michael Weiss (swimmer) (born 1991), American swimmer * Michael Weiss (triathlete) (born 1981), Austrian triathlete and cyclist * Mich ...

) proving the Mumford conjecture on the

cohomology In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewe ...

of the stable

mapping class group In mathematics, in the subfield of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a certain discrete group corresponding to symmetries of the space. Mo ...

, and for developing topological

cyclic homology In noncommutative geometry and related branches of mathematics, cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras which generalize the de Rham (co)homology of manifolds. These notions were independen ...

theory.

Professional career

Madsen earned a candidate degree from the University of Copenhagen in 1965, and a Ph.D. from the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...

in 1970 under the supervision of J. Peter May. In 1971 he took a faculty position at Aarhus University, and he remained there until 2008, when he moved to Copenhagen. His doctoral students have included

Søren Galatius Søren Galatius (born 1 August 1976) is a Danish mathematician who works as a professor of mathematics at the University of Copenhagen. He works in algebraic topology, where one of his most important results concerns the homology of the automor ...

and Lars Hesselholt.

Awards and honors

Madsen was elected as a member of the

Royal Danish Academy of Science and Letters {{Infobox organization , name = The Royal Danish Academy of Sciences and Letters , full_name = , native_name = Det Kongelige Danske Videnskabernes Selskab , native_name_lang = , logo = Royal ...

in 1978, as a foreign member of the Royal Swedish Academy of Sciences in 1998, and as a foreign member of the

Royal Norwegian Society of Sciences and Letters The Royal Norwegian Society of Sciences and Letters ( da, Det Kongelige Norske Videnskabers Selskab, DKNVS) is a Norwegian learned society based in Trondheim. It was founded in 1760 and is Norway's oldest scientific and scholarly institution. The ...

in 2000. In 2012 he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

.List of Fellows of the American Mathematical Society
retrieved 2 February 2013. In 1992, he was awarded the

Humboldt Prize The Humboldt Prize, the Humboldt-Forschungspreis in German, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of G ...

. In 2011, he won the

Ostrowski Prize The Ostrowski Prize is a mathematics award given every odd year for outstanding mathematical achievement judged by an international jury from the universities of Basel, Jerusalem, Waterloo and the academies of Denmark and the Netherlands. Alexan ...

for outstanding achievement in pure mathematics..

Publications

* *

References

{{DEFAULTSORT:Madsen, Ib Henning 1942 births Living people Danish mathematicians University of Copenhagen alumni University of Chicago alumni Aarhus University faculty University of Copenhagen faculty Members of the Royal Swedish Academy of Sciences Royal Norwegian Society of Sciences and Letters Fellows of the American Mathematical Society Topologists