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The Institute of Combinatorics and its Applications (ICA) is an international scientific organization formed in 1990 to increase the visibility and influence of the combinatorial community. In pursuit of this goal, the ICA sponsors conferences, publishes a bulletin and awards a number of medals, including the Euler, Hall, Kirkman, and Stanton Medals. It is based in
Duluth, Minnesota Duluth ( ) is a Port, port city in the U.S. state of Minnesota and the county seat of St. Louis County, Minnesota, St. Louis County. Located on Lake Superior in Minnesota's Arrowhead Region, the city is a hub for cargo shipping. The population ...
and its operation office is housed at
University of Minnesota Duluth The University of Minnesota Duluth (UMD) is a public university in Duluth, Minnesota, United States. It is part of the University of Minnesota System. UMD offers 17 bachelor's degrees in 87 majors, graduate programs in 24 different fields, a tw ...
. The institute was minimally active between 2010 and 2016 and resumed its full activities in March 2016.


Membership

The ICA has over 800 members in over forty countries. Membership is at three levels. ''Members'' are those who have not yet completed a
Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
''Associate Fellows'' are younger members who have received the Ph.D. or have published extensively; normally an Associate Fellow should hold the rank of
assistant professor Assistant professor is an academic rank just below the rank of an associate professor used in universities or colleges, mainly in the United States, Canada, Japan, and South Korea. Overview This position is generally taken after earning a doct ...
. ''Fellows'' are expected to be established scholars and typically have the rank of
associate professor Associate professor is an academic title with two principal meanings: in the North American system and that of the ''Commonwealth system''. In the ''North American system'', used in the United States and many other countries, it is a position ...
or higher. Some members are involved in highly theoretical research; there are members whose primary interest lies in education and instruction; and there are members who are heavily involved in the applications of
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
in statistical design,
communication Communication is commonly defined as the transmission of information. Its precise definition is disputed and there are disagreements about whether Intention, unintentional or failed transmissions are included and whether communication not onl ...
s theory,
cryptography Cryptography, or cryptology (from "hidden, secret"; and ''graphein'', "to write", or ''-logy, -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of Adversary (cryptography), ...
,
computer security Computer security (also cybersecurity, digital security, or information technology (IT) security) is a subdiscipline within the field of information security. It consists of the protection of computer software, systems and computer network, n ...
, and other practical areas. Although being a fellow of the ICA is not itself a highly selective honor, the ICA also maintains another class of members, "honorary fellows", people who have made "pre-eminent contributions to combinatorics or its applications". The number of living honorary fellows is limited to ten at any time. The deceased honorary fellows include H. S. M. Coxeter,
Paul Erdős Paul Erdős ( ; 26March 191320September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, g ...
, Haim Hanani,
Bernhard Neumann Bernhard Hermann Neumann (15 October 1909 – 21 October 2002) was a German-born British-Australian mathematician, who was a leader in the study of group theory. Early life and education After gaining a D.Phil. from Friedrich-Wilhelms Universi ...
, D. H. Lehmer,
Leonard Carlitz Leonard Carlitz (December 26, 1907 – September 17, 1999) was an American mathematician. Carlitz supervised 44 doctorates at Duke University and published over 770 papers. Chronology * 1907 Born Philadelphia, PA, USA * 1927 BA, University ...
,
Robert Frucht Robert Wertheimer Frucht (later known as Roberto Frucht) (9 August 1906 – 26 June 1997) was a German-Chilean mathematician; his research specialty was graph theory and the symmetries of graphs. Education and career In 1908, Frucht's family mo ...
,
E. M. Wright Sir Edward Maitland Wright (13 February 1906 – 2 February 2005) was an English mathematician, best known for co-authoring ''An Introduction to the Theory of Numbers'' with G. H. Hardy. He served as the Principal of the University of ...
, and
Horst Sachs Horst Sachs (27 March 1927 – 25 April 2016) was a German mathematician, an expert in graph theory, a recipient of the Euler Medal (2000). He earned the degree of Doctor of Science (Dr. rer. nat.) from the Martin-Luther-Universität Halle-Wi ...
. Living honorary fellows include
S. S. Shrikhande Sharadchandra Shankar Shrikhande (19 October 1917 – 21 April 2020) was an Indian mathematician with notable achievements in combinatorial mathematics. He was notable for his breakthrough work along with R. C. Bose and E. T. Parker in their d ...
, C. R. Rao, G. J. Simmons,
Vera Sós Vera may refer to: Names *Vera (surname), a surname (including a list of people with the name) *Vera (given name), a given name (including a list of people and fictional characters with the name) **Vera (), archbishop of the archdiocese of Tarra ...
, Henry Gould,
Carsten Thomassen Carsten Thomassen may refer to: * Carsten Thomassen (mathematician) Carsten Thomassen (born August 22, 1948 in Grindsted) is a Danish mathematician. He has been a Professor of Mathematics at the Technical University of Denmark since 1981, and ...
,
Neil Robertson Neil Alexander Robertson (born 11 February 1982) is an Australian professional snooker player, who is a former List of World Snooker Championship winners, world champion and former List of world number one snooker players, world number one. He ...
,
Cheryl Praeger Cheryl Elisabeth Praeger (born 7 September 1948, Toowoomba, Queensland) is an Australian mathematician. Praeger received BSc (1969) and MSc degrees from the University of Queensland (1974), and a doctorate from the University of Oxford in 197 ...
, and R. M. Wilson.


Publication

The ICA publishes the ''Bulletin of the ICA'' (), a journal that combines publication of survey and research papers with news of members and accounts of future and past conferences. It appears three times a year, in January, May and September and usually consists of 128 pages. Beginning in 2017, the research articles in the ''Bulletin'' have been made available on an
open access Open access (OA) is a set of principles and a range of practices through which nominally copyrightable publications are delivered to readers free of access charges or other barriers. With open access strictly defined (according to the 2001 de ...
basis.


Medals

The ICA awards the Euler Medals annually for distinguished career contributions to combinatorics by a member of the institute who is still active in research. It is named after the 18th century mathematician
Leonhard Euler Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential ...
. The ICA awards the Hall Medals, named after Marshall Hall, Jr., to recognize outstanding achievements by members who are not over age 40. The ICA awards the Kirkman Medals, named after
Thomas Kirkman Thomas Penyngton Kirkman FRS (31 March 1806 – 3 February 1895) was a British mathematician and ordained minister of the Church of England. Despite being primarily a churchman, he maintained an active interest in research-level mathematics, a ...
, to recognize outstanding achievements by members who are within four years past their Ph.D. The winners of the medals for the years between 2010 and 2015 were decided by the ICA Medals Committee between November 2016 and February 2017 after the ICA resumed its activities in 2016. In 2016, the ICA voted to institute an ICA medal to be known as the Stanton Medal, named after Ralph Stanton, in recognition of substantial and sustained contributions, other than research, to promoting the discipline of combinatorics. The Stanton Medal honours significant lifetime contributions to promoting the discipline of combinatorics through advocacy, outreach, service, teaching and/or mentoring. At most one medal per year is to be awarded, typically to a Fellow of the ICA.


List of Euler Medal winners


List of Hall Medal winners


List of Kirkman Medal winners


List of Stanton Medal winners


References


External links


Official Website
{{authority control Mathematical societies Organizations established in 1990 Organizations based in Winnipeg Mathematics awards