H/F CDD DOCTORAL collaborative project “Interactions between mathematics and history of mathematics...

The contracted person will participate to the activities of the collaborative Project « Interactions between mathematics and the history of mathematics: Historical approaches and present-day perspectives » and to those of the researchers in history of mathematics of the SPHERE Laboratory.

Ph.D. research of a doctoral stu-dent whose work will focus on a part of Die Entwicklung der Theorie der algebraischen Func-tionen in älterer und neuerer Zeit. The doctoral student will have to choose a significant part of the book to write a thesis on. The following parts are excluded from the possible choices: Sec-tion I, subsections A-J; Section II, subsections A&B; Section V, subsection C; Section X, subsec-tions A-B-C, since they are already being handled by other members of the collective. The se-lected section will be in the hands of the doctoral student, who will have full responsibility for it.
The Ph.D. project will include an annotated translation of the part chosen. For this pur-pose, the student will benefit from a unique scientific environment for developing a fine reading of German texts. He or she will be supported by a whole group of colleagues studying the same work (but not on his or her own part).
The Ph.D. project will include a mathematical facet, with the explanation of the part of the work treated using modern mathematics. The Ph.D. project will also include some historical work that will serve as a basis for the whole project. For instance, we will need to elucidate the contexts in which the writing of this report was undertaken, the way in which Brill and Noether worked on it, the way in which the report can be situated in their careers, and the nature of the synthesis that the authors practiced. In particular, we will have to determine to what extent their synthesis involved or led to innovation. Finally, we will need to better understand how the work is situated in relation to other reports commissioned by the DMV.