Centro de Investigación en Matemáticas

Centro de Investigación en Matemáticas
Name	Centro de Investigación en Matemáticas
Native name	Centro de Investigación en Matemáticas
Established	1980
Type	Research institute
City	Guanajuato
Country	Mexico

Centro de Investigación en Matemáticas is a Mexican research institute located in Guanajuato focused on mathematical sciences and their applications. The institute engages in advanced research, graduate education, and national and international collaboration, connecting scholars from institutions such as Universidad Nacional Autónoma de México, Massachusetts Institute of Technology, Princeton University, University of Cambridge and École Polytechnique. It hosts conferences that attract participants from organizations including International Mathematical Union, American Mathematical Society, European Mathematical Society, Banff International Research Station and Fields Institute.

History

The center was founded in 1980 with ties to Mexican institutions like Universidad de Guanajuato, Consejo Nacional de Ciencia y Tecnología, Instituto Politécnico Nacional, El Colegio de México and Centro de Investigación y de Estudios Avanzados and with advisory links to figures associated with John von Neumann, David Hilbert, Élie Cartan, Alexander Grothendieck and André Weil. Early collaborations involved researchers who had trained at Princeton University, Harvard University, University of California, Berkeley, University of Chicago and Stanford University. Through the 1990s the institute expanded programs influenced by developments from Hilbert space theory, researchers connected to Jacques Hadamard, Sofia Kovalevskaya, Nikolai Lobachevsky and exchanges with centers such as Institut des Hautes Études Scientifiques, Max Planck Society and C.N.R.S.. In the 2000s it increased graduate offerings and joint projects with groups tied to Clay Mathematics Institute, Simons Foundation, Royal Society, National Science Foundation and Deutsche Forschungsgemeinschaft.

Research and Academic Programs

The institute offers doctoral and master's degrees with coursework, seminars, and supervision comparable to programs at University of Oxford, California Institute of Technology, Columbia University, Yale University and University of Tokyo. Research areas include algebra, analysis, geometry, topology, probability, and applied mathematics reflecting traditions from Évariste Galois, Bernhard Riemann, Henri Poincaré, Emmy Noether and Kurt Gödel. Graduate training involves collaborations with laboratories affiliated with Los Alamos National Laboratory, Lawrence Berkeley National Laboratory, CERN, European Organization for Nuclear Research and NASA. The institute organizes lecture series and summer schools that attract visiting scholars from Johns Hopkins University, University of Michigan, University of Toronto, National Autonomous University of Mexico and Pontifical Catholic University of Chile.

Departments and Research Groups

Academic structure comprises groups in Pure Mathematics, Applied Mathematics, Computational Mathematics, and Mathematical Physics with researchers who have connections to schools linked to Srinivasa Ramanujan, Carl Friedrich Gauss, Leonhard Euler, Pierre-Simon Laplace and Niels Henrik Abel. Specialized groups include Algebraic Geometry, Partial Differential Equations, Dynamical Systems, Numerical Analysis, Mathematical Biology, and Statistics; these groups have joint projects with units at Institut Pasteur, Broad Institute, Wellcome Trust, European Molecular Biology Laboratory and John Innes Centre. Researchers maintain visiting appointments with faculties at Imperial College London, Technical University of Munich, École Normale Supérieure, Peking University and Tsinghua University.

Facilities and Campus

The campus in Guanajuato includes seminar rooms, computational laboratories, a mathematical library, and collaborative spaces similar to facilities found at Institute for Advanced Study, Gödel Research Center, Steklov Institute of Mathematics, SISSA and Kavli Institute for Theoretical Physics. Computing resources host clusters and software stacks comparable to those used at Argonne National Laboratory, Oak Ridge National Laboratory, European Centre for Medium-Range Weather Forecasts and National Institute of Standards and Technology. The library collections include works and archives related to mathematicians such as Augustin-Louis Cauchy, Joseph Fourier, Sophus Lie, Bernhard Bolzano and Gottfried Wilhelm Leibniz. Conference facilities have welcomed events organized with partners like SIAM, ICMS, BCAM and Mathematical Sciences Research Institute.

Collaborations and Partnerships

The institute maintains bilateral agreements with universities and research centers including Universidad de Buenos Aires, Universidad de Chile, University of Waterloo, McGill University, Purdue University and Rutgers University. International projects have been funded through programs administered by European Research Council, Horizon 2020, Fulbright Program, Alexander von Humboldt Foundation and Japan Society for the Promotion of Science. Collaborative themes have included cryptography with groups linked to RSA Security, signal processing with teams connected to Bell Labs, and climate modeling with researchers associated with Met Office and IPCC. The center has hosted visiting scholars and postdoctoral fellows who previously held positions at Courant Institute of Mathematical Sciences, Zentrum für Europäische Wirtschaftsforschung, Centre National de la Recherche Scientifique and Weizmann Institute of Science.

Awards and Notable Alumniicians

Faculty and alumni have received recognition in forms analogous to Abel Prize, Fields Medal, Wolf Prize, Shaw Prize and national awards such as honors from Consejo Nacional de Ciencia y Tecnología and prizes associated with Mexican Academy of Sciences. Notable alumni and former visitors have included researchers who later joined faculties at Princeton University, Massachusetts Institute of Technology, University of California, Berkeley, Oxford University and École Polytechnique Fédérale de Lausanne, and who contributed to projects at Google Research, Microsoft Research, IBM Research and DeepMind. The institute’s graduates participate in international committees including those at International Mathematical Union, International Congress of Mathematicians, Latin American Research Network and regional scientific councils such as Consejo de Ciencia y Tecnología de Guanajuato.

Category:Research institutes in Mexico