PhD student at Paris 13 - saunier (?) math.univ-paris13.fr

Hello! I'm Victor Saunier, currently pursing a PhD in the Algebraic Topology team of Université Sorbonne Paris Nord, under the supervision of Yonatan Harpaz. I am a part of his 5-year ERC project on Foundations of Motivic Real K-theory and my interests span all things K-theory, with a distinct taste for higher categorical ideas. The goal of my thesis is to bring the celebrated Dundas-Goodwillie-McCarthy theorem to the context of stable ∞-categories and provide a proof for it which is purely ∞-categorical in its flavour.

- The fundamental theorem of localizing invariants (🔗 Latest version), September 2022.
*Preprint accessible on arxiv*

- The "fundamental" theorem of localizing invariants (🔗), at the annual conference of the GDR Théorie de l'homotopie. October 2022.
*Beamer also accessible at the conference's webpage*.

- Deformation theory and spherical Witt vectors. Upcoming (November 2022)
*Notes for the first talk of a workgroup on the Chromatic Nullstellensatz paper.* - Spectres et stabilisations d'∞-catégories (🔗). October 2021.
*Notes for the first talk of a workgroup on Gijs Heuts' thesis, also accessible at Geoffroy Horel's webpage. In French, but strongly inspired from Yonatan Harpaz's 2017 talk on a similar topic, available at his webpage*.

- Notions of ∞-categories. Oisin Flynn-Connolly. November 10, 2022.
- Spectra and stable ∞-categories. Victor Saunier. November 24, 2022
- Bousfield localisations and chromatic homotopy. Guglielmo Nocera. December 8, 2022
- Operads and ∞-operads. Francesca Pratali & Jakob Ulmer. Date TBD
- E-∞ ring-spectra. Jordan Levin. Date TBD

- Worksheet I on model categories.
*Link to the pdf* - Worksheet II on more model categories.
*Link to the pdf* - Worksheet III on homotopical (co)limits & (very few) stable homotopy theory.
*Link to the pdf*