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International Linear Algebra Society

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International Linear Algebra Society
NameInternational Linear Algebra Society
AbbreviationILAS
Formation1989
TypeLearned society
HeadquartersProvidence, Rhode Island
Region servedInternational
LanguageEnglish
Leader titlePresident
Leader nameDaniel Kressner

International Linear Algebra Society is an international learned society dedicated to promoting research and education in linear algebra and matrix analysis. Founded in 1989, it serves as a focal point for connections among researchers, educators, and practitioners linked to topics such as matrix theory, numerical linear algebra, operator theory, and applications across science and engineering. The society organizes conferences, publishes proceedings, and administers prizes to recognize contributions to the field and to foster collaboration among mathematicians worldwide.

History

The society was established in 1989 following discussions among mathematicians active at meetings like the International Congress of Mathematicians, the Society for Industrial and Applied Mathematics conferences, and regional gatherings including the European Congress of Mathematics and the American Mathematical Society sectional meetings. Early organizers included participants associated with institutions such as Brown University, Massachusetts Institute of Technology, University of Cambridge, École Polytechnique, and University of Tokyo. The founding built on traditions from prior venues like the Symposium on Matrix Analysis and Applications, the Gordon Research Conference, and special sessions at the SIAM Conference on Applied Linear Algebra. Over subsequent decades the society engaged with initiatives connected to the International Mathematical Union, the European Mathematical Society, the Royal Society, and national academies such as the National Academy of Sciences and the Deutsche Forschungsgemeinschaft.

Mission and Activities

The society’s mission emphasizes support for mathematical research related to linear algebra, matrix theory, and their applications in areas represented by institutions such as CERN, Los Alamos National Laboratory, Tata Institute of Fundamental Research, and Max Planck Society. Activities include fostering communication among members from universities like Princeton University, University of California, Berkeley, Stanford University, and University of Oxford; promoting collaboration with research centers such as Institut des Hautes Études Scientifiques and Institute for Advanced Study; and supporting young researchers affiliated with programs at Clay Mathematics Institute, Fields Institute, and Mathematical Sciences Research Institute. The society endorses educational projects linked to curriculum efforts by organizations like the American Mathematical Society and the European Mathematical Society.

Governance and Membership

Governance is exercised through an elected executive comprising officers and an advisory council drawn from regions represented by universities such as University of Waterloo, University of Sydney, University of São Paulo, and University of Cape Town. Presidents and officers have included faculty with appointments at places like ETH Zurich, University of Michigan, Seoul National University, and Peking University. Membership categories accommodate researchers, educators, and institutional affiliates from entities including National Science Foundation, Japan Society for the Promotion of Science, Australian Research Council, and various national academies. The society maintains by-laws and election procedures inspired by practices at organizations like the American Mathematical Society and the Society for Industrial and Applied Mathematics.

Conferences and Publications

The society sponsors conferences such as the triennial International Congress on Linear Algebra and Matrix Analysis, regional workshops held at locations like Institut Henri Poincaré, Imperial College London, University of Toronto, and summer schools hosted by ETH Zurich and University of Cambridge. Proceedings and special issues have appeared in journals and series associated with publishers and journals like SIAM Journal on Matrix Analysis and Applications, Linear Algebra and its Applications, Journal of the American Mathematical Society, and thematic volumes connected to Springer, Elsevier, and Cambridge University Press. The society has also supported lecture series and monographs featuring contributions from authors linked to Harvard University, Yale University, Columbia University, and University of Chicago.

Awards and Prizes

The society administers prizes that recognize research excellence, early-career achievement, and expository contributions, similar in spirit to awards given by institutions like the Fields Medal-sponsoring bodies, the Abel Prize committee, and national science academies such as the Royal Society. Recipients have included mathematicians affiliated with departments at Princeton University, University of California, Los Angeles, University of Minnesota, and Brown University. Awards highlight contributions in areas connected to work at laboratories like Los Alamos National Laboratory and initiatives funded by agencies such as the European Research Council and the National Science Foundation.

Collaborations and Outreach

The society maintains collaborations with organizations such as the International Mathematical Union, the European Mathematical Society, and research institutes including Fields Institute and Mathematical Sciences Research Institute. Outreach efforts include supporting summer schools in partnership with universities like University of Edinburgh, McGill University, University of Hong Kong, and National University of Singapore; mentoring programs for students affiliated with International Mathematical Olympiad teams and national competitions; and cooperative ventures with computational centers such as National Center for Supercomputing Applications and industry partners including IBM Research and Microsoft Research.

Category:Mathematical societies