[version française]
A few documents
Just a repository for texts I have written during my studies.
- My master's thesis, entitled Théorie
homotopique de Morel Voevodsky et applications (Morel-Voevodsky
homotopy theory and applications) (in French).
- My intership's dissertation, on
the fundamental groupoid of a topos, and problems of limits
and colimits is categories of toposes. This work was conducted
at DPMMS, Cambridge University,
Great Britain, under the supervision
of Martin Hyland. It is
not per se a general introduction to topos theory, but an
introduction to their fundamental groupoid (problems of limits and
colimits appear during this study); I briefly recall general definitions
and results, but some well known results on toposes are used without
mention. (in English).
- A report on proving combinatoric
identities and computing sums of hypergeometric series, written with
Marc
Mezzarobba. (in French)
- A report on the motion of objects in
contact, based on the same-name article by Hopcroft and Wilfong. The
main application of the result is in motion planning, but since it is
basically beautiful mathematics, it gets to be in this section. (in
French)