Asian Pacific Mathematics Olympiad

Asian Pacific Mathematics Olympiad
Name	Asian Pacific Mathematics Olympiad
Abbreviation	APMO
Formation	1989
Type	International mathematics competition
Region served	Asia Pacific
Languages	English

Asian Pacific Mathematics Olympiad The Asian Pacific Mathematics Olympiad is an annual international mathematics competition for secondary school students in the Asia-Pacific region, held to foster excellence among young mathematicians and promote exchanges among national delegations. The contest attracts participants from countries and territories across East Asia, Southeast Asia, South Asia, Oceania, and parts of the Middle East, and has become a recognized stepping stone toward competitions such as the International Mathematical Olympiad and regional contests like the Korea Junior Mathematics Olympiad and China Girls Mathematical Olympiad.

Overview

The Olympiad brings together delegations representing nations including Japan, China, India, Australia, New Zealand, South Korea, North Korea, Singapore, Malaysia, Philippines, Thailand, Vietnam, Indonesia, Pakistan, Sri Lanka, Bangladesh, Nepal, Iran, Saudi Arabia, United Arab Emirates, Turkey, Israel, Hong Kong, Macau, Taiwan, Mongolia, Kazakhstan, Kyrgyzstan, Uzbekistan, Tajikistan, Turkmenistan, Brunei, Cambodia, Laos, Myanmar, Bahrain, Qatar, Oman, Lebanon, Jordan, Palestine, Yemen, Armenia, Azerbaijan, Georgia and others. Organizers typically include national mathematical societies such as the Mathematical Society of Japan, Chinese Mathematical Society, Indian Mathematical Society, Australian Mathematical Society, Mathematical Association of the Philippines, Korean Mathematical Society, and academic institutions like University of Tokyo, Peking University, Tsinghua University, University of Melbourne, University of Sydney, National University of Singapore, Seoul National University, Indian Institute of Science, IIT Bombay, IIT Delhi, University of Delhi, University of Colombo, University of Malaya, Hokkaido University, Kyoto University, Osaka University.

History and development

The contest was founded in the late 20th century with influence from the International Mathematical Olympiad, the European Girls' Mathematical Olympiad, the International Zhautykov Olympiad, the Balkan Mathematical Olympiad, the Baltic Way, the Asian Pacific Informatics Olympiad, the IMO Shortlist, the Putnam Competition, and regional competitions such as the Singapore Mathematical Olympiad and the Korea Mathematical Olympiad. Early meetings included representatives from delegations linked to institutions like Raffles Institution, Hwa Chong Institution, La Martiniere, St. Xavier's Collegiate School, Diocesan Boys' School, and universities such as Harvard University, Stanford University, Massachusetts Institute of Technology, Princeton University, University of Cambridge, University of Oxford, Imperial College London, University of California, Berkeley. Over the decades the contest evolved through interaction with organizations like the Asian Mathematical Society, the International Mathematical Union, the American Mathematical Society, European Mathematical Society, and national ministries tied to education in Japan Ministry of Education, Culture, Sports, Science and Technology, Ministry of Education (China), Ministry of Education (India).

Organization and participants

Teams are usually selected by national bodies including Mathematical Association of America, Canadian Mathematical Society, Russian Academy of Sciences, Academy of Sciences of Uzbekistan, Academy of Sciences of Kazakhstan, National Academy of Sciences of Azerbaijan, Turkish Mathematical Society, Iranian Mathematical Society, Jordanian Mathematical Society, Pakistani Mathematical Society, Sri Lanka Mathematical Society, Thai Mathematical Society, Vietnam Mathematical Society, and schools like Philippine Science High School, Raffles Institution, Trinity Grammar School, Melbourne High School, Eton College, Westminster School, Royal College Colombo, St. Joseph's College Colombo. Notable team leaders and jury members have included professors from University of Cambridge, University of Oxford, Moscow State University, Lomonosov Moscow State University, Moscow Institute of Physics and Technology, Shandong University, Zhejiang University, Fudan University, Waseda University, Keio University, Yonsei University, Korea Advanced Institute of Science and Technology.

Competition format and syllabus

The format typically mirrors the structure of the International Mathematical Olympiad with a multi-problem paper testing algebra, number theory, geometry, combinatorics and occasionally inequalities and functional equations. Problems draw from mathematical traditions associated with schools and textbooks produced by publishers and institutions such as Springer, Cambridge University Press, Oxford University Press, Princeton University Press, Birkhäuser, CRC Press, and reflect methods from classic works by Paul Erdős, Srinivasa Ramanujan, Leonhard Euler, Carl Friedrich Gauss, David Hilbert, Sofia Kovalevskaya, Niels Henrik Abel, Évariste Galois, George Polya, John von Neumann, Andrey Kolmogorov, Kurt Gödel, Bernhard Riemann, Richard Courant, Stefan Banach, Henri Poincaré.

Problems and scoring

Papers usually consist of three long proof-based problems requiring rigorous solutions, with a maximum score per problem analogous to the IMO scoring system. Problem setters and coordinators have included mathematicians affiliated with Princeton University, Yale University, Columbia University, Cornell University, University of Chicago, California Institute of Technology, University of California, Los Angeles, National Taiwan University, Aarhus University, University of Copenhagen, ETH Zurich, École Normale Supérieure, Sorbonne University, Université Paris-Saclay, Université Grenoble Alpes. Scoring emphasizes originality and clarity, and award categories include gold, silver, bronze medals and honorable mentions similar to distinctions at the International Olympiad in Informatics and the International Physics Olympiad.

Notable results and alumni

Alumni of the Olympiad have gone on to careers and accolades associated with institutions and prizes such as the Fields Medal, Abel Prize, Wolf Prize, Chern Medal, Clay Research Award, Nevalinna Prize, Turing Award, MacArthur Fellowship, and positions at Princeton University, Harvard University, Stanford University, MIT, ETH Zurich, University of Cambridge, University of Oxford, IHES, Perimeter Institute. Prominent former participants have affiliations with research centers like Institute for Advanced Study, Max Planck Institute for Mathematics, Mathematical Sciences Research Institute, Centre National de la Recherche Scientifique, CNRS, and projects at Google Research, Microsoft Research, IBM Research, Facebook AI Research, DeepMind.

Impact and related initiatives

The Olympiad has influenced the creation and expansion of programs and initiatives including the Asian Pacific Informatics Olympiad, the Southeast Asian Mathematical Olympiad, the Oceania Mathematical Olympiad, the European Girls' Mathematical Olympiad, national training camps at institutions such as University of Tokyo, Peking University, IIT Bombay, University of Sydney, and outreach projects by societies like the Mathematical Association (UK), American Mathematical Society, Canadian Mathematical Society, and Australian Mathematical Society. Its network connects educators and researchers from organizations such as UNESCO, World Bank, Asian Development Bank, Association of Southeast Asian Nations, Commonwealth of Nations, enhancing cross-border collaboration in talent development and academic exchange.

Category:Mathematics competitions