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| Combinatorial Mathematics Society | |
|---|---|
| Name | Combinatorial Mathematics Society |
| Type | Learned society |
| Founded | 20th century |
| Headquarters | International |
| Fields | Combinatorics, Graph Theory, Design Theory |
Combinatorial Mathematics Society is a learned society dedicated to research in combinatorics, graph theory, design theory, and finite geometry that brings together researchers from universities, research institutes, and industry laboratories worldwide. The society fosters collaboration among scholars associated with institutions such as University of Cambridge, Princeton University, Massachusetts Institute of Technology, University of Oxford, and Harvard University while engaging with professional organizations like the American Mathematical Society, Institute of Mathematical Statistics, London Mathematical Society, European Mathematical Society, and SIAM. Activities often intersect with conferences and events linked to venues such as International Congress of Mathematicians, European Congress of Mathematics, Joint Mathematics Meetings, BCS, and regional meetings at institutions like University of Toronto and University of California, Berkeley.
The society traces origins to informal working groups that included mathematicians from École Normale Supérieure, University of Cambridge, Princeton University, University of Chicago, and University of Göttingen and to early 20th-century networks that produced foundational results connected to figures affiliated with Cambridge University Press publications and lectures at Royal Society symposia. Early organizers referenced networks overlapping with scholars from Harvard University, Yale University, Columbia University, University of Paris, and Moscow State University, and engaged in exchanges with researchers associated with Bell Labs and the Institute for Advanced Study. Over decades the society formalized governance structures similar to those at American Mathematical Society and London Mathematical Society and expanded membership through regional chapters in places including Tokyo, Beijing, Sydney, Toronto, and Berlin.
The mission emphasizes advancing research in areas represented by scholars from Princeton University, ETH Zurich, University of Cambridge, University of Oxford, and Stanford University; disseminating results through outlets comparable to Annals of Mathematics, Journal of Combinatorial Theory, and Proceedings of the American Mathematical Society; and supporting career development akin to programs at National Science Foundation, Royal Society, and European Research Council. Activities include organizing thematic workshops connected to initiatives at Institut des Hautes Études Scientifiques, Mathematical Sciences Research Institute, Fields Institute, and Banff International Research Station; maintaining special interest groups paralleling sections in Society for Industrial and Applied Mathematics; and curating lecture series resembling those at Clay Mathematics Institute and Newton Institute.
Membership categories reflect structures used by American Mathematical Society, London Mathematical Society, European Mathematical Society, Royal Statistical Society, and Association for Computing Machinery, with tiers for students from University of Cambridge, early-career researchers from Princeton University, senior fellows from Harvard University, and emeriti with ties to University of Bonn. Governance typically features an elected council and officers analogous to leadership models at American Academy of Arts and Sciences and Royal Society; committees for publications, meetings, and ethics mirror those at National Academy of Sciences and International Mathematical Union. Election cycles, nomination procedures, and bylaws are comparable to frameworks used by European Research Council and national academies such as Chinese Academy of Sciences.
The society sponsors flagship conferences with program committees resembling those at International Congress of Mathematicians, Joint Mathematics Meetings, and Symposium on Theory of Computing; regional meetings emulate structures found at European Congress of Mathematics and International Conference on Graph Theory. Publications include journals and proceedings modeled after Journal of Combinatorial Theory, Combinatorica, Discrete Mathematics, Transactions of the American Mathematical Society, and edited volumes similar to those from Springer and Cambridge University Press. Special issues and lecture notes draw contributors associated with Institut Henri Poincaré, Max Planck Institute for Mathematics, Mathematical Reviews, and editorial boards comparable to those of Elsevier and Oxford University Press.
Education programs partner with initiatives at National Science Foundation, Royal Society, European Mathematical Society, Mathematical Association of America, and outreach platforms like YouTube lecture series and public lecture circuits at Royal Institution. Workshops and summer schools are run in collaboration with centers including Mathematical Sciences Research Institute, Fields Institute, Banff International Research Station, CIRM, and university summer programs at University of Cambridge and University of Oxford. Outreach activities reach school networks and festivals such as World Science Festival, and support resource development consistent with efforts by Khan Academy and museum exhibits like those at Science Museum, London.
The society administers prizes and fellowships comparable in prestige to awards from Fields Institute, Clay Mathematics Institute, European Mathematical Society, American Mathematical Society, and national academies like the Royal Society. Honors may mirror named awards associated with figures from Paul Erdős, Richard P. Stanley, Ronald L. Graham, László Lovász, and Paul Turán and align with medals and lectureships similar to those presented by International Mathematical Union and American Academy of Arts and Sciences. Young researcher prizes, lifetime achievement awards, and best-paper recognitions follow formats used by Society for Industrial and Applied Mathematics and university endowments at Princeton University and Harvard University.
Collaborations extend to societies and institutes such as American Mathematical Society, European Mathematical Society, International Mathematical Union, Institute of Mathematical Statistics, Fields Institute, Mathematical Sciences Research Institute, Clay Mathematics Institute, National Science Foundation, and national academies including Chinese Academy of Sciences and Royal Society. Affiliated regional groups often align with university departments at University of Cambridge, Princeton University, University of Chicago, University of California, Berkeley, and research centers like Max Planck Institute for Mathematics and Institut des Hautes Études Scientifiques, enabling joint programs, co-sponsored conferences, and shared publication initiatives.