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The American Institute of Mathematics (AIM) is one of eight mathematical institutes in the United States, funded by the
National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...
(NSF). It was founded in 1994 by John Fry, co-founder of
Fry's Electronics Fry's Electronics was an American big-box store chain. While operating, it was headquartered in San Jose, California in Silicon Valley. Fry's retailed software, consumer electronics, household appliances, cosmetics, tools, toys, accessories, ma ...
, and originally located in the Fry's Electronics store in
San Jose, California San Jose, officially San José (; ; ), is a major city in the U.S. state of California that is the cultural, financial, and political center of Silicon Valley and largest city in Northern California by both population and area. With a 2020 popul ...
. It was privately funded by Fry at inception, and obtained NSF funding starting in 2002.. From 2023 onwards, the institute will be located on the campus of the
California Institute of Technology The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
in
Pasadena Pasadena ( ) is a city in Los Angeles County, California, northeast of downtown Los Angeles. It is the most populous city and the primary cultural center of the San Gabriel Valley. Old Pasadena is the city's original commercial district. Its ...
, California.


History

The institute was founded with the primary goal of identifying and solving important
mathematical problem A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more ...
s. Originally very small groups of top mathematicians would be assembled to solve a major problem, such as the
Birch and Swinnerton-Dyer conjecture In mathematics, the Birch and Swinnerton-Dyer conjecture (often called the Birch–Swinnerton-Dyer conjecture) describes the set of rational solutions to equations defining an elliptic curve. It is an open problem in the field of number theory an ...
. Later, the institute began running a program of week-long workshops on current topics in mathematical research. These workshops rely strongly on interactive problem sessions. Brian Conrey became the institute's director in 1997. From 1998 to 2009 (with the exception of 1999), AIM annually awarded a five-year fellowship to an "outstanding new PhD pursuing research in an area of pure mathematics", but currently is not offering the fellowship. AIM also sponsors local mathematics competitions and a yearly meeting for women mathematicians. The institute planned to move to
Morgan Hill, California Morgan Hill is a city in Santa Clara County, California, at the southern tip of Silicon Valley, in the San Francisco Bay Area. Morgan Hill is an affluent residential community, the seat of several high-tech companies, and a dining, entertainmen ...
, about 39 miles (63 km) to the southeast of San Jose, when its new facility is completed. Plans for the new facility were started about 2000, but construction work was delayed by regulatory and engineering issues. In February 2014, the AIM received permission to start construction of the facility, which will be built as a facsimile of
The Alhambra The Alhambra (, ; ar, الْحَمْرَاء, Al-Ḥamrāʾ, , ) is a palace and fortress complex located in Granada, Andalusia, Spain. It is one of the most famous monuments of Islamic architecture and one of the best-preserved palaces of the ...
, a 14th-century Moorish palace and fortress in Spain, but as of August 2017, no construction activity had started. On March 24, 2022, the institute announced its relocation to the
California Institute of Technology The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
(Caltech).


Sponsored research

The American Institute of Mathematics has sponsored fundamental research for high-profile problems in several mathematical areas. Among them are:


Combinatorics

* The strong perfect graph theorem — proved in 2003 by
Maria Chudnovsky Maria Chudnovsky (born January 6, 1977) is an Israeli-American mathematician working on graph theory and combinatorial optimization. She is a 2012 MacArthur Fellow. Education and career Chudnovsky is a professor in the department of mathematic ...
,
Neil Robertson Neil Robertson (born 11 February 1982) is an Australian professional snooker player who is a former world champion and former world number one. The only Australian to have won a ranking event, he is also the only player from outside the United ...
, Paul Seymour, and
Robin Thomas Robin may refer to: Animals * Australasian robins, red-breasted songbirds of the family Petroicidae * Many members of the subfamily Saxicolinae (Old World chats), including: **European robin (''Erithacus rubecula'') ** Bush-robin **Forest ro ...
* Hadwiger's conjecture — research by
Neil Robertson Neil Robertson (born 11 February 1982) is an Australian professional snooker player who is a former world champion and former world number one. The only Australian to have won a ranking event, he is also the only player from outside the United ...
and Paul Seymour.


Representation theory

*
Atlas of Lie groups and representations The Atlas of Lie Groups and Representations is a mathematical project to solve the problem of the unitary dual for real reductive Lie groups. , the following mathematicians are listed as members: * Jeffrey Adams * Dan Barbasch * Birne Binegar ...
, a massive project to compute the
unitary representation In mathematics, a unitary representation of a group ''G'' is a linear representation π of ''G'' on a complex Hilbert space ''V'' such that π(''g'') is a unitary operator for every ''g'' ∈ ''G''. The general theory is well-developed in case ''G'' ...
s of
Lie group In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additio ...
s. The computations have been done for the exceptional Lie group E8.


References


External links

* {{authority control Research institutes in the San Francisco Bay Area National Science Foundation mathematical sciences institutes Organizations based in San Jose, California Organizations established in 1994 Research institutes established in 1994 1994 establishments in California 1990s in mathematics