Kósa blev tildelt postdoc-stipendiet fra [[Japan]] Society for the Promotion of Science (JSPS, 2008-2009) og den taiwanske Chiang Ching-kuo Foundation for International Scholarly Exchange (2010-2012). I 2014-15 var han EURIAS-stipendiat ved Center for Research in the Arts, Social Sciences and Humanities (CRASSH), Cambridge University. I 2020-21 var han Roger E. Covey-medlem i østasiatiske studier ved Institute of Advanced Study (IAS, Princeton).<ref>{{Cite web|url=http://www.crassh.cam.ac.uk/people/profile/gabor-kosa|title=Gabor Kosa – CRASSH|access-date=29. september 2021|website=www.crassh.cam.ac.uk}}</ref><ref>{{Cite web|url=http://www.2018-2019.eurias-fp.eu/fellows/gabor-kosa|title=Gábor Kósa {{!}} European Institutes for Advanced Study (EURIAS) Fellowship Programme {{!}} 2018–2019|access-date=29. september 2021|website=www.2018–2019.eurias-fp.eu}}</ref><ref>{{Cite web|url=https://www.ias.edu/scholars/gabor-kosa|title=Gabor Kosa – Scholars {{!}} Institute for Advanced Study|date=6. marts 2020|language=en|access-date=29. september 2021|website=www.ias.edu}}</ref>
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