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, shared with Kannan Soundararajan and David Preiss. [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 and for which he was appointed a Knight Commander of the Order of the British Empire in 2000. In 2018, Wiles was appointed the first Regius Professor of Mathematics at Oxford. Wiles is also a 1997 MacArthur Fellow.
Jacques Tits was a Belgian-born French mathematician who worked on group theory and incidence geometry. He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric.
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
Pierre René, Viscount Deligne is a Belgian mathematician. He is best known for work on the Weil conjectures, leading to a complete proof in 1973. He is the winner of the 2013 Abel Prize, 2008 Wolf Prize, 1988 Crafoord Prize, and 1978 Fields Medal.
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.
Richard Lawrence Taylor is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University.
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.
Jacob Palis Jr. is a Brazilian mathematician and professor. Palis' research interests are mainly dynamical systems and differential equations. Some themes are global stability and hyperbolicity, bifurcations, attractors and chaotic systems.
Lennart Axel Edvard Carleson is a Swedish mathematician, known as a leader in the field of harmonic analysis. One of his most noted accomplishments is his proof of Lusin's conjecture. He was awarded the Abel Prize in 2006 for "his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems."
Bent Fuglede was a Danish mathematician.
Kannan Soundararajan is an Indian-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan, where he had also pursued his undergraduate studies. His main research interest is in analytic number theory, particularly in the subfields of automorphic L-functions, and multiplicative number theory.
Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017, he was elected to the National Academy of Sciences. In 2018, he received the Wolf Prize in Mathematics and in 2020 the Shaw Prize in Mathematics.
Steven Lawrence Kleiman is an American mathematician.
Ulrike Luise Tillmann FRS is a mathematician specializing in algebraic topology, who has made important contributions to the study of the moduli space of algebraic curves. She was the president of the London Mathematical Society in the period 2021–2022.
Tobias Holck Colding is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding.
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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