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                /applying/applying-for-phd-in-bonn-or-cologne Tuition fees per semester in EUR None Combined Master's degree / PhD programme No Joint degree / double degree programme No Description/content The Bonn-Cologne 
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                Degree PhD/Dr rer nat Course location Bonn Teaching language German English Languages The Summer School is held in English, as are most parts of the lab courses. The doctorate "plusBIGS" courses 
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                fees per semester in EUR None Combined Master's degree / PhD programme No Joint degree / double degree programme No Description/content PhD in Mathematics Our Graduate School is organised 
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                degree (PhD equivalent). Outstanding (top 10%) students holding a Bachelor's or Master's degree in economics or related fields (e.g., mathematics, statistics, business administration, accounting, and