Ib Henning Madsen (born 12 April 1942, in Copenhagen) [1] is a Danish mathematician, a professor of mathematics at the University of Copenhagen. He is known for (with Michael Weiss) proving the Mumford conjecture on the cohomology of the stable mapping class group, and for developing topological cyclic homology theory. [2]
Madsen earned a candidate degree from the University of Copenhagen in 1965, and a Ph.D. from the University of Chicago in 1970 under the supervision of J. Peter May. [1] [2] [3] In 1971 he took a faculty position at Aarhus University, and he remained there until 2008, when he moved to Copenhagen. [1] [2]
His doctoral students have included Søren Galatius and Lars Hesselholt. [3]
Madsen was elected as a member of the Royal Danish Academy of Science and Letters in 1978, [4] as a foreign member of the Royal Swedish Academy of Sciences in 1998, [1] [5] and as a foreign member of the Royal Norwegian Society of Sciences and Letters in 2000. [1] [6] In 2012 he became a fellow of the American Mathematical Society. [7]
In 1992, he was awarded the Humboldt Prize. [1] In 2011, he won the Ostrowski Prize for outstanding achievement in pure mathematics. [2]
Alain Connes is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the Collège de France, Institut des Hautes Études Scientifiques, Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982.
Sir Andrew John Wiles is an English mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal by the Royal Society. He was appointed Knight Commander of the Order of the British Empire in 2000, and in 2018, was appointed the first Regius Professor of Mathematics at Oxford. Wiles is also a 1997 MacArthur Fellow.
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David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
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Bent Fuglede was a Danish mathematician.
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Søren Galatius 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 automorphisms of free groups. He is also known for his joint work with Oscar Randal-Williams on moduli spaces of manifolds, comprising several papers.
Lars Hesselholt is a Danish mathematician who works as a professor of mathematics at Nagoya University in Japan, as well as holding a temporary position as Niels Bohr Professor at the University of Copenhagen. His research interests include homotopy theory, algebraic K-theory, and arithmetic algebraic geometry.
Michael Weiss is a German mathematician and an expert in algebraic and geometric topology. He is a professor at the University of Münster.
Jan Philip Solovej is a Danish mathematician and mathematical physicist working on the mathematical theory of quantum mechanics. He is a professor at University of Copenhagen.
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