Jacques Hurtubise (mathematician)

Last updated

Jacques Claude Hurtubise FRSC (born March 12, 1957) is a Canadian mathematician who works as a professor of mathematics and chair of the mathematics department at McGill University. His research interests include moduli spaces, integrable systems, and Riemann surfaces. [1] Among other contributions, he is known for proving the Atiyah–Jones conjecture (in collaboration with Boyer, Mann, and Milgram). [2] [3]

After undergraduate studies at the Université de Montréal, Hurtubise became a Rhodes Scholar at the University of Oxford for 1978–1981, [1] and earned a DPhil from Oxford in 1982, supervised by Nigel Hitchin, with a dissertation concerning links between algebraic geometry and differential geometry. [4] Following his DPhil, he taught at the Université du Québec à Montréal until 1988, when he moved to McGill. He has also been director of the Centre de Recherches Mathématiques. [5]

Hurtubise won the Coxeter–James Prize of the Canadian Mathematical Society in 1993, and was an AMS Centennial Fellow for 1993–1994. In 2004 he became a fellow of the Royal Society of Canada, [2] and in 2012, he became one of the inaugural fellows of the American Mathematical Society. [6] In 2018 the Canadian Mathematical Society listed him in their inaugural class of fellows. [7]

In 2022 he has been the recipient of the 2022 David Borwein Distinguished Career Award by the Canadian Mathematical Society (CMS), "for his exceptional, continued, and broad contributions to mathematics". [8]

Related Research Articles

<span class="mw-page-title-main">Alain Connes</span> French mathematician (born 1947)

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.

<span class="mw-page-title-main">Michael Atiyah</span> British-Lebanese mathematician (1929–2019)

Sir Michael Francis Atiyah was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004.

<span class="mw-page-title-main">Raoul Bott</span> Hungarian-American mathematician

Raoul Bott was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem.

<span class="mw-page-title-main">Simon Donaldson</span> English mathematician

Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.

Andrew James Granville is a British mathematician, working in the field of number theory.

<span class="mw-page-title-main">David Eisenbud</span> American mathematician (born 1947)

David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and former director of the then Mathematical Sciences Research Institute (MSRI), now known as Simons Laufer Mathematical Sciences Institute (SLMath). He served as Director of MSRI from 1997 to 2007, and then again from 2013 to 2022.

Peter Benedict Kronheimer is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former chair of the mathematics department.

David Borwein was a Lithuanian-born Canadian mathematician, known for his research in the summability theory of series and integrals. He also did work in measure theory and probability theory, number theory, and approximate subgradients and coderivatives. He latterly collaborated with his son, Jonathan Borwein, and with B.A. Mares Jr. on the properties of single-variable and many-variable sinc integrals.

Augustin Banyaga is a Rwandan-born American mathematician whose research fields include symplectic topology and contact geometry. He is currently a Professor of Mathematics at Pennsylvania State University.

Luc Vinet is a Canadian physicist and mathematician. He was former rector of the Université de Montréal between 2005 and 2010. He is the CEO of IVADO, created in 2015 since August 2021.

<span class="mw-page-title-main">Nassif Ghoussoub</span> Canadian mathematician

Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations. He is a Professor of Mathematics and a Distinguished University Scholar at the University of British Columbia.

<span class="mw-page-title-main">Gilles Pisier</span> French mathematician

Gilles I. Pisier is a professor of mathematics at the Pierre and Marie Curie University and a distinguished professor and A.G. and M.E. Owen Chair of Mathematics at the Texas A&M University. He is known for his contributions to several fields of mathematics, including functional analysis, probability theory, harmonic analysis, and operator theory. He has also made fundamental contributions to the theory of C*-algebras. Gilles is the younger brother of French actress Marie-France Pisier.

In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli spaces of instantons. The original form of the conjecture considered instantons over a 4-dimensional sphere. It was introduced by Michael Francis Atiyah and John D. S. Jones and proved by Charles P. Boyer, Jacques C. Hurtubise, and Benjamin M. Mann et al.. The more general version of the Atiyah–Jones conjecture is a question about the homology of the moduli spaces of instantons on any 4-dimensional real manifold, or on a complex surface. The Atiyah–Jones conjecture has been proved for ruled surfaces by R. J. Milgram and J. Hurtubise, and for rational surfaces by Elizabeth Gasparim. The conjecture remains unproved for other types of 4 manifolds.

<span class="mw-page-title-main">Claude LeBrun</span> American mathematician

Claude R. LeBrun is an American mathematician who holds the position of Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in complex and differential geometry.

Niky Kamran is a Belgian and Canadian mathematician whose research concerns geometric analysis, differential geometry, and mathematical physics. He is a Distinguished James McGill Professor in the Department of Mathematics and Statistics at McGill University.

<span class="mw-page-title-main">Ralph Louis Cohen</span> American mathematician

Ralph Louis Cohen is an American mathematician, specializing in algebraic topology and differential topology.

François Lalonde is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.

Richard James Milgram is an American mathematician, specializing in algebraic topology. He is the son of mathematician Arthur Milgram.

Charles Place Boyer is an American mathematician, specializing in differential geometry and moduli spaces. He is known as one of the four mathematicians who jointly proved in 1992 the Atiyah–Jones conjecture.

Dietmar Arno Salamon is a German mathematician.

References

  1. 1 2 Curriculum vitae, retrieved 2015-03-01.
  2. 1 2 Lectures Celebrating New Fellows of the Royal Society of Canada, Fields Institute, 2004, retrieved 2015-03-01.
  3. Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. (1 August 1992). "The Atiyah-Jones Conjecture" (PDF). Bulletin of the American Mathematical Society. 26 (2): 317–322. doi: 10.1090/S0273-0979-1992-00286-0 . ISSN   0273-0979 . Retrieved 22 December 2024.
  4. Jacques Hurtubise at the Mathematics Genealogy Project
  5. Jacques Hurtubise, Council of Canadian Academies, retrieved 2015-03-01.
  6. List of Fellows of the American Mathematical Society, retrieved 2015-03-01.
  7. Canadian Mathematical Society Inaugural Class of Fellows, Canadian Mathematical Society, December 7, 2018, archived from the original on January 22, 2021, retrieved January 7, 2020
  8. Dr. Jacques Hurtubise receives 2022 David Borwein Distinguished Career Award, Canadian Mathematical Society, August 3, 2022