List of International Mathematical Olympiads

The International Mathematical Olympiad (IMO) is an annual six-problem, two-day, international high school mathematics competition. It focuses primarily on pre-collegiate mathematics, and is the oldest of the International Science Olympiads.[1] The content ranges from precalculus to branches of mathematics such as projective and complex geometry, functional equations and well-grounded number theory. Fields such as functional analysis, calculus, field theory (and other branches of abstract algebra and topology) are generally not present on the olympiad.[2]

The first IMO was held in Romania in 1959. Seven countries entered – Bulgaria, Czechoslovakia, East Germany, Hungary, Poland, Romania and the Soviet Union – with the hosts finishing as the top-ranked nation.[3] The number of participating countries has since risen: 14 countries took part in 1969, 50 in 1989, and 104 in 2009.[4] Since the inaugural event, the Olympiad has been held annually, with the exception of 1980.[n 1] As of 2011, participating countries send teams of up to six students, plus one team leader, one deputy leader, and observers.

Awards for exceptional performance include medals for a fraction of the competitors that is as close to one-half of the participants as the judges can make it, and honorable mentions for participants who solve at least one problem perfectly.[5] This is a list of previous IMOs, the host country of each, and the city in which the olympiads were held. It also includes the cities in which each olympiad was hosted.

Contents

Olympiads

#[4] City/Cities Country Year Date[4] Top-ranked country[6] Refs
Braşov and Bucharest  Romania 1959 June 23 – July 31  Romania [7]
Sinaia  Romania 1960 July 18 – July 25  Czechoslovakia [7]
Veszprém  Hungary 1961 July 6 – July 16  Hungary [7]
České Budějovice  Czechoslovakia 1962 July 7 – June 15  Hungary [7]
Warsaw and Wrocław  Poland 1963 July 5 – June 13  Soviet Union [7]
Moscow  Soviet Union 1964 June 30 – July 10  Soviet Union [7]
East Berlin  East Germany 1965 June 13 – July 13  Soviet Union [7]
Sofia  Bulgaria 1966 July 3 – July 13  Soviet Union [7]
Cetinje  Yugoslavia 1967 July 7 – July 13  Soviet Union [7]
10  Moscow  Soviet Union 1968 July 5 – July 18  East Germany [7]
11  Bucharest  Romania 1969 July 5 – July 20  Hungary [7]
12  Keszthely  Hungary 1970 July 8 – July 22  Hungary [7]
13  Žilina  Czechoslovakia 1971 July 10 – July 21  Hungary [7]
14  Toruń  Poland 1972 July 5 – July 17  Soviet Union [7]
15  Moscow  Soviet Union 1973 July 5 – July 16  Soviet Union [7]
16  Erfurt and East Berlin  East Germany 1974 July 4 – July 17  Soviet Union [7]
17  Burgas and Sofia  Bulgaria 1975 July 3 – July 16  Hungary [7]
18  Lienz  Austria 1976 July 2 – July 21  Soviet Union [7]
19  Belgrade  Yugoslavia 1977 July 1 – July 13  United States [7]
20  Bucharest  Romania 1978 July 3 – July 10  Romania [7]
21  London  United Kingdom 1979 June 30 – July 9  Soviet Union [7]
22  Washington, DC  United States 1981 July 8 – July 20  United States [7][n 1]
23  Budapest  Hungary 1982 July 5 – July 14  West Germany [7]
24  Paris  France 1983 July 3 – July 12  West Germany [7]
25  Prague  Czechoslovakia 1984 June 29 – July 10  Soviet Union [7]
26  Joutsa  Finland 1985 June 29 – July 11  Romania [7]
27  Warsaw  Poland 1986 July 4 – July 15  Soviet Union
 United States
[7]
28  Havana  Cuba 1987 July 5 – July 16  Romania [7]
29  Sydney and Canberra  Australia 1988 July 9 – July 21  Soviet Union [7]
30  Brunswick  West Germany 1989 July 13 – July 24  China [7]
31  Beijing  China 1990 July 8 – July 19  China [7]
32  Sigtuna  Sweden 1991 July 12 – July 23  Soviet Union [7][n 2]
33  Moscow  Russia 1992 July 10 – July 21  China [7]
34  Istanbul  Turkey 1993 July 13 – July 24  China [7]
35  Hong Kong  Hong Kong 1994 July 8 – July 20  United States [7][n 3]
36  Toronto  Canada 1995 July 13 – July 25  China [9]
37  Bombay  India 1996 July 5 – July 17  Romania [10]
38  Mar del Plata  Argentina 1997 July 18 – July 31  China [11]
39  Taipei  Taiwan 1998 July 10 – July 21  Iran [12]
40  Bucharest  Romania 1999 July 10 – July 22  China
 Russia
[13]
41  Daejeon  South Korea 2000 July 13 – July 25  China [14]
42  Washington, DC  United States 2001 July 1 – July 14  China [15]
43  Glasgow  United Kingdom 2002 July 19 – July 30  China [16]
44  Tokyo  Japan 2003 July 7 – July 19  Bulgaria [17]
45  Athens  Greece 2004 July 6 – July 18  China [18]
46  Mérida  Mexico 2005 July 8 – July 19  China [19]
47  Ljubljana  Slovenia 2006 July 6 – July 18  China [20]
48  Hanoi  Vietnam 2007 July 19 – July 31  Russia [21]
49  Madrid  Spain 2008 July 10 – July 22  China [22]
50  Bremen  Germany 2009 July 10 – July 22  China [23]
51  Astana  Kazakhstan 2010 July 2 – July 14  China [24]
52  Amsterdam  Netherlands 2011 July 13 – July 24  China [25]

See also

Notes

  1. ^ a b The 1980 IMO was due to be held in Mongolia. It was cancelled, and split into two unofficial events in Europe.[8]
  2. ^ 1991 marked the Soviet Union's last participation. From 1992, former Soviet Union countries – including Russia – entered separately.[6]
  3. ^ At the time of the Olympiad, Hong Kong was not possessed by the People's Republic of China.

References

General
Specific
  1. ^ "Old IMOs". University of Eindhoven. http://olympiads.win.tue.nl/imo/. Retrieved 2008-02-06. 
  2. ^ (Olson 2004, p. 4)
  3. ^ "1st IMO 1959". International Mathematical Olympiad. http://www.imo-official.org/year_country_r.aspx?year=1959. Retrieved 2011-06-20. 
  4. ^ a b c "Timeline". International Mathematical Olympiad. http://www.imo-official.org/organizers.aspx. Retrieved 2011-06-20. 
  5. ^ "47th International Mathematical Olympiad Results". http://imo2006.dmfa.si/results_itd.html. Retrieved 2008-02-01. 
  6. ^ a b "Ranking of countries". International Mathematical Olympiad. http://www.imo-official.org/results.aspx. Retrieved 2011-06-20. 
  7. ^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah ai "US teams at the IMO". Mathematical Association of America. http://amc.maa.org/e-exams/e9-imo/imoteamrecord.shtml. Retrieved 2011-06-19. 
  8. ^ "UK IMO register". IMO register. http://www.imo-register.org.uk/#1980. Retrieved 2011-06-17. 
  9. ^ "IMO 1995". Canadian Mathematical Society. http://imo.math.ca/IMO95/. Retrieved 2008-03-17. 
  10. ^ "IMO 1996". Canadian Mathematical Society. http://imo.math.ca/IMO96/. Retrieved 2008-03-17. 
  11. ^ (Spanish) "IMO 1997". Argentina. http://oma.org.ar/imo97/. Retrieved 2008-03-17. 
  12. ^ "IMO 1998". Republic of China. Archived from the original on 1998-12-05. http://web.archive.org/web/19981205203518/http://imo.math.ntnu.edu.tw/. 
  13. ^ "IMO 1999". Canadian Mathematical Society. http://imo.math.ca/IMO99/. Retrieved 2008-03-17. 
  14. ^ "IMO 2000". Wolfram. http://imo.wolfram.com/. Retrieved 2008-03-17. 
  15. ^ "IMO 2001". Canadian Mathematical Society. http://imo.math.ca/IMO2001/. Retrieved 2008-03-17. 
  16. ^ Andreescu, Titu (2004). USA & International Mathematical Olympiads 2002. Mathematical Association of America. ISBN 978-0883858158 
  17. ^ "IMO 2003". Japan. http://www.imo2003.com/. Retrieved 2008-03-17. 
  18. ^ "IMO 2004". Greece. Archived from the original on 2004-06-27. http://web.archive.org/web/20040627033941/http://www.imo2004.gr/. 
  19. ^ "IMO 2005". Mexico. Archived from the original on 2005-07-11. http://web.archive.org/web/20050711000638/http://erdos.fciencias.unam.mx/. 
  20. ^ "IMO 2006". Slovenia. Archived from the original on 2009-02-28. http://web.archive.org/web/20090228152032/http://imo2006.dmfa.si/. Retrieved 2008-03-17. 
  21. ^ "IMO 2007". Vietnam. Archived from the original on 2009-02-12. http://web.archive.org/web/20090212162859/http://imo2007.edu.vn/. Retrieved 2008-03-17. 
  22. ^ "IMO 2008". Spain. http://www.imo-2008.es/. Retrieved 2008-03-17. 
  23. ^ (German) "IMO 2009". Germany. http://www.imo2009.de/. Retrieved 2008-03-17. 
  24. ^ "51st IMO 2010". IMO. http://www.imo-official.org/year_info.aspx?year=2010. Retrieved 2011-07-22. 
  25. ^ "52nd IMO 2011". IMO. http://www.imo-official.org/year_info.aspx?year=2011. Retrieved 2011-07-22. 

External links