This report summarises the work and results produced at the 146th European Study Group with Industry/co-creation event with society on the challenge textit{Breaking barriers for women in Science}. The aim of this challenge, proposed by the Cyprus-based non-profit AIPFE Cyprus-Women of Europe, was to quantify the barriers that women face in science so that eventually policy changes can take place in Cyprus and elsewhere. Two distinct but related challenges were considered. The first challenge was to quantify the wage gap between men and women in 28 European countries. In this connection, we analysed Eurostat data and developed a mathematical model quantifying how probable it is for countries to decrease their wage gap. Secondly, we analysed data provided by the University of Cyprus and determined the percentage of women and men in STEM (Science, Technology, Engineering and Mathematics) departments as they move up the academic ladder, starting from the undergraduate level. Studying the latter challenge is a first step in studying the wage gap in all Cypriot universities and in other universities abroad. This work was supported financially by the EU project SciShops.eu, the EU Mathematics for Industry Network (MI-NET) and several other organisations.
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