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Explore two insightful lectures on the history of mathematics presented by ICHM May Prize winners. In the first lecture, delve into the world of ancient mathematics as Christine Proust reveals how seemingly insignificant details from fragmented cuneiform sources can lead to profound mathematical discoveries. Learn about the challenges of studying scattered clay tablet pieces and the importance of meticulous observation in reconstructing mathematical curricula from scribal schools. The second lecture, delivered by Sonja Brentjes, examines the sociocultural contexts of mathematical sciences in Islamicate societies up to 1700. Gain valuable insights into the development of mathematical education, family genealogies in mathematical sciences, regional differences, institutional sponsorship, and social dynamics through the analysis of biographies, histories, dedications, and colophons.