Centre de Recherches Mathématiques
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| Centre de Recherches Mathématiques | |
|---|---|
| Name | Centre de Recherches Mathématiques |
| Established | 1968 |
| Type | Research institute |
| Location | Montreal, Quebec, Canada |
| Parent organization | Université de Montréal |
Centre de Recherches Mathématiques is a Canadian research institute based in Montreal affiliated with Université de Montréal that fosters advanced mathematical research across pure mathematics, applied mathematics, and mathematical physics. It coordinates interdisciplinary programs, international collaborations, and graduate training while hosting thematic semesters, workshops, and lecture series that attract scholars from institutions such as Princeton University, Massachusetts Institute of Technology, University of Cambridge, University of Oxford, and École Normale Supérieure. The centre’s activity interfaces with organizations including Fields Institute, Institut des Hautes Études Scientifiques, Perimeter Institute, MAX Planck Society, and CNRS.
History
Founded in 1968, the institute emerged during a period that saw the growth of research hubs like Institute for Advanced Study and Mathematical Sciences Research Institute, responding to needs identified by provincial actors such as Ministère de l'Éducation du Québec and national stakeholders including Canadian Mathematical Society and Natural Sciences and Engineering Research Council of Canada. Early leadership drew connections to mathematicians affiliated with Université Laval, McGill University, University of Toronto, and visiting scholars from Harvard University, Yale University, Stanford University, and Princeton University. Milestones include hosting influential figures associated with Henri Poincaré, Évariste Galois-inspired seminars, ties to developments in Alan Turing-era computation, and partnerships echoing initiatives by John von Neumann and Emmy Noether lineages. Over decades the institute expanded programs reflecting work in areas championed by David Hilbert, Srinivasa Ramanujan, André Weil, Alexander Grothendieck, Jean-Pierre Serre, Alexander Grothendieck, and collaborations with laboratories tied to National Research Council Canada.
Organization and Governance
Governance combines university oversight from Université de Montréal with advisory input from international bodies such as European Mathematical Society, American Mathematical Society, International Mathematical Union, and funding agencies like Social Sciences and Humanities Research Council and Canada Foundation for Innovation. A scientific advisory board includes scholars who have held positions at École Polytechnique Fédérale de Lausanne, University of California, Berkeley, Imperial College London, University of Chicago, and Columbia University. Administrative links extend to partners including McGill University, Concordia University, Université Laval, Université du Québec à Montréal, and provincial research consortia that echo models used by Royal Society governance and National Science Foundation-funded centers. Appointment procedures reference evaluation criteria used by institutions such as King's College London, Leiden University, University of Paris-Saclay, and ETH Zurich.
Research Programs and Institutes
The centre runs thematic programs covering subjects associated with luminaries like Carl Friedrich Gauss, Bernhard Riemann, Henri Lebesgue, Élie Cartan, and Sophus Lie, including programs in algebraic geometry, number theory, analysis, probability, topology, and mathematical physics. It hosts institutes and collaborations modeled after Clay Mathematics Institute, Banff International Research Station, Centre National de la Recherche Scientifique, and Instituto Nacional de Matemática Pura e Aplicada, and partners with laboratories involved in projects tied to Langlands Program, P vs NP Problem, Quantum Field Theory, General Relativity, and String Theory. Research chairs include networks connecting to scholars from University of Cambridge, Princeton University, Massachusetts Institute of Technology, Yale University, Columbia University, Brown University, University of Michigan, University of California, Los Angeles, University of Pennsylvania, and Duke University.
Education and Training
The centre supports graduate training that complements doctoral programs at Université de Montréal, McGill University, Concordia University, and Université Laval, providing postdoctoral fellowships, visiting researcher positions, and mentoring akin to programs at Mathematical Sciences Research Institute and Fields Institute. It organizes courses, seminars, and doctoral schools with lecturers drawn from University of Cambridge, École Normale Supérieure, Princeton University, Harvard University, Stanford University, University of Oxford, Imperial College London, ETH Zurich, University of Toronto, and McMaster University. Training initiatives connect to scholarships and awards such as those offered by Royal Society of Canada, Killam Trusts, Trudeau Foundation, and Simons Foundation.
Publications and Conferences
The centre organizes international conferences, thematic workshops, and lecture series that feature contributors associated with journals and presses like Annals of Mathematics, Journal of the American Mathematical Society, Inventiones Mathematicae, Communications in Mathematical Physics, Acta Mathematica, Proceedings of the National Academy of Sciences, and publishers including Springer Science+Business Media, Elsevier, Oxford University Press, and Cambridge University Press. Regular events have included collaborations with conferences that attract participants from International Congress of Mathematicians, European Congress of Mathematics, Symposium on Geometry, and meetings hosted by American Mathematical Society and Canadian Mathematical Society.
Outreach and Collaboration
The centre engages in outreach connecting to organizations and initiatives such as Fields Institute, Perimeter Institute, Banff International Research Station, Institut Henri Poincaré, Mathematical Association of America, Canadian Mathematical Society, Quebec Science Ministry, and cultural venues in Montreal like Place des Arts. Collaborative efforts span industry and government interfaces involving entities such as IBM, Google, Microsoft Research, Bell Labs, Hydro-Québec, and funding partners like Natural Sciences and Engineering Research Council of Canada and Canada Research Chairs programs. Public outreach includes lecture series, school visits, and partnerships with museums and festivals modeled on programs by TED, Science World, and Montreal International Jazz Festival outreach initiatives.