- 40th: Fermilab, USA, July 31–Aug. 4, 2023 | Website
- 39th: Bonn, Germany, Aug. 8–13, 2022 | Proceedings | Website
- 38th: Boston, MIT, USA, July 26–30, 2021 | Proceedings | Website
- 37th: Wuhan, China, June 17–22, 2019 | Proceedings | Website
- 36th: East Lansing, MI, July 22–28, 2018 | Proceedings | Website
- 35th: Granada, Spain, June 19–24, 2017 | Proceedings | Website
- 34th: Southampton, UK, July 24–31, 2016 | Proceedings
- 33rd: Kobe, Japan, July 14–18, 2015 | Proceedings
- 32nd: New York City, NY, USA, June 23–28, 2014
- 31st: Mainz, Germany, July 29–August 3, 2013
- 30th: Cairns, Australia, June 24–29, 2012
- 29th: Lake Tahoe, California, USA, July 11–16, 2011 | Proceedings | Website
- 28th: Villasimius, Sardinia, Italy, June 14–19, 2010
- 27th: Beijing, China, July 26–31, 2009
- 26th: Williamsburg, Virginia, USA, July 14–19, 2008
- 25th: Regensburg, Germany, July 30 – August 4, 2007
- 24th: Tucson, Arizona, USA, July 23–28, 2006
- 23rd: Dublin, Ireland, July 25–30, 2005
- 22nd: Batavia, Illinois, USA, June 21–24, 2004
- 21st: Tsukuba, Japan, July 15–19, 2003
- 20th: Boston, Massachusetts, USA, June 24–29, 2002
- 19th: Berlin, Germany, August 19–24, 2001
- 18th: Bangalore, India, August 17–22, 2000
- 17th: Pisa, Italy, June 29–July 3, 1999
- 16th: Boulder, Colorado, USA, July 13–18, 1998
- 15th: Edinburgh, Scotland, July 22–26, 1997
- 14th: St. Louis, Missouri, USA, June 4–8, 1996
- 13th: Melbourne, Australia, July 11–15, 1995
- 12th: Bielefeld, Germany, September 27 – October 1, 1994
- 11th: Dallas, Texas, USA, October 12–16, 1993
- 10th: Amsterdam, The Netherlands, September 15–19, 1992
- 9th: Tsukuba, Japan, November 5–9, 1991
- 8th: Tallahassee, Florida, USA, October 8–12, 1990
- 7th: Capri, Italy, September 18–21, 1989
- 6th: Batavia, Illinois, USA, September 22–25, 1988
- 5th: Seillac, France, September 28 – October 2, 1987
- 4th: Upton, New York, USA, September 15–19, 1986
- 3rd: Wuppertal, FRG, November 5–7, 1985
- 2nd: Tallahassee, Florida, USA, April 10–13, 1985
- 1st: Argonne, Illinois, USA, April 5–7 1984
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