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ICMAT

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ICMAT
NameInstituto de Ciencias Matemáticas
AcronymICMAT
Established2010
LocationMadrid, Spain
TypeResearch institute
DirectorEnrique Zuazua
AffiliationsConsejo Superior de Investigaciones Científicas, Universidad Autónoma de Madrid, Universidad Carlos III de Madrid

ICMAT ICMAT is a Spanish research institute for advanced study in mathematics located in Madrid. It operates within Spain's Consejo Superior de Investigaciones Científicas ecosystem and maintains links with institutions such as Universidad Autónoma de Madrid, Universidad Carlos III de Madrid, Instituto de Física Teórica, Centro de Investigación en Matemáticas. The institute draws researchers associated with figures like Enrique Zuazua, and connects to international centers such as Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, Clay Mathematics Institute, Fields Institute.

History

ICMAT grew from initiatives involving the Consejo Superior de Investigaciones Científicas and Spanish universities including Universidad Complutense de Madrid and Universidad Politécnica de Madrid. Its founding was influenced by national programs like the Plan Nacional de I+D+i and European frameworks exemplified by the European Research Council and Horizon 2020. Early milestones paralleled events such as the awarding of prizes like the Ramón y Cajal and collaborations with projects funded by the Ministerio de Ciencia e Innovación and entities like the Fundación Ramón Areces and BBVA Foundation. Historical interactions included visits and lectures by scholars from Princeton University, Harvard University, University of Cambridge, University of Oxford, ETH Zurich.

Mission and Activities

The institute's mission emphasizes fundamental research echoing agendas of the European Mathematical Society and the International Mathematical Union, pursuing topics associated with researchers who have worked at centers like the Institute for Advanced Study and the Ramanujan Institute. Activities include organizing seminars akin to those at Mathematical Sciences Research Institute, hosting conferences comparable to International Congress of Mathematicians, and engaging in outreach similar to programs by the Royal Society and American Mathematical Society. It supports projects that intersect with applied venues such as European Space Agency, European Southern Observatory, Siemens, and Airbus through mathematical modelling, control theory, and data analysis.

Research and Projects

Research spans areas related to the work of scholars linked to Sergiu Hart, Carlos Kenig, Enrico Bombieri, Terence Tao, Cédric Villani, Jean-Pierre Serre, Alain Connes, John Nash, Andrew Wiles, Grigori Perelman, and methodologies from Kurt Gödel and Henri Poincaré. Principal themes include partial differential equations reflecting traditions of Lars Hörmander and Louis Nirenberg, dynamical systems in the spirit of Stephen Smale and Yakov Sinai, number theory inspired by Goro Shimura and Yuri Manin, and geometric analysis following paths of Michael Atiyah and Raoul Bott. Projects have been funded alongside programs by the European Research Council, the National Science Foundation via international collaborations with groups at Columbia University, Stanford University, University of California, Berkeley, and MIT.

Education and Training

ICMAT offers postdoctoral positions comparable to fellowships like the Newton International Fellowship and the Marie Skłodowska-Curie Actions and hosts doctoral students enrolled at Universidad Autónoma de Madrid and Universidad Carlos III de Madrid. Training programs mirror summer schools organized by CIMPA and the Society for Industrial and Applied Mathematics and include workshops in areas explored by laureates of the Fields Medal and the Abel Prize such as Jean Bourgain and John G. Thompson. The institute participates in doctoral networks akin to Training Network of the European Union and exchanges with institutions like École Normale Supérieure and Scuola Normale Superiore.

Collaborations and Partnerships

ICMAT maintains collaborations with national bodies like the Real Academia de Ciencias Exactas, Físicas y Naturales and international partners including the Institut Henri Poincaré, Sobolev Institute of Mathematics, Weizmann Institute of Science, and Kavli Institute for Theoretical Physics. Partnerships extend to industry through agreements modeled on collaborations between IBM Research, Google DeepMind, Siemens, and Telefonica for applications in data science, cryptography linked to work of Shafi Goldwasser and Adi Shamir, and optimization methods related to research by Évariste Galois-inspired schools. Cooperative grants have been pursued with agencies such as the European Space Agency and the National Institutes of Health for interdisciplinary projects.

Facilities and Resources

The institute's facilities include auditoria suitable for conferences like those of the International Congress of Mathematicians, seminar rooms, and computational resources comparable to clusters used at CERN and Los Alamos National Laboratory for large-scale simulations. It houses specialized libraries with collections aligning with holdings at the Bibliothèque nationale de France and the Bodleian Library, and provides access to databases and journals published by Springer, Elsevier, Oxford University Press, and Cambridge University Press. Support units coordinate visitor programs similar to those run by Mathematical Sciences Research Institute and fellowship schemes like the Simons Foundation fellowships.

Awards and Recognition

Faculty and affiliates have received national and international distinctions such as the King Jaime I Award, the Prince of Asturias Award, fellowships akin to the Royal Society Fellowship, and grants from the European Research Council. Researchers associated with the institute have been finalists or recipients of prizes in the lineage of the Fields Medal, the Abel Prize, the Crafoord Prize, and national honors conferred by institutions like the Real Academia Española and regional governments. The institute's seminars and outreach have been acknowledged by organizations including the European Mathematical Society and the American Mathematical Society.

Category:Research institutes in Spain Category:Mathematical institutes