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The Carathéodory-Gesellschaft was founded on 16th June 1999 at the Department of Mathematics of LMU Munich as “Förderverein Mathematik in Wirtschaft, Universität und Schule an der LMU e.V.” (friends association for promoting mathematics in industry, university and schools at LMU Munich). On 13th July 1999 it was entered into the register of associations at the Munich Local Court with the number VR 16561.

On 16th December 2013 the society was renamed to its current name and entered into the register of associations.