Sebastian Gant

collaborators

3 papers

math.AG2026

The nonexistence of sections of Stiefel varieties and stably free modules

Sebastian Gant

Let $V_{r} (A^{n})$ denote the Stiefel variety $GL_{n} / GL_{n - r}$ over a field. There is a natural projection $p : V_{r + ℓ} (A^{n}) \to V_{r} (A^{n})$ . The…

math.AT2026

Motivic Homotopy Groups of Spheres and Free Summands of Stably Free Modules

Sebastian Gant, Ben Williams

Working over an algebraically closed field $k$ of characteristic $0$ , we show that the motivic stable homotopy groups of the sphere spectrum can be determined entirely from the mot…

math.AG2025

Free summands of stably free modules

Ben Williams, W. S. Gant

Let $R$ be a commutative ring. One may ask when a general $R$ -module $P$ that satisfies $P \oplus R ≅ R^{n}$ has a free summand of a given rank. M. Raynaud translated this questi…