Gabriel Angelini-Knoll

activity

20242026

collaborators

4 papers

math.AT2026

Topological Hochschild homology of truncated Brown-Peterson spectra II

Gabriel Angelini-Knoll, Maxime Chaminadour

We compute topological Hochschild homology of $E_{3}$ -MU-algebra forms of the second truncated Brown-Peterson spectrum with Adams summand coefficients at $p = 2$ and condition…

math.AT2025

Real syntomic cohomology

Gabriel Angelini-Knoll, Hana Jia Kong, J. D. Quigley

We introduce a theory of syntomic cohomology for ring spectra with involution, which we call Real syntomic cohomology. We show that our construction extends the theory of syntomic…

math.KT2024

Syntomic cohomology of Morava K-theory

Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson

We compute the MU-based syntomic cohomologies, mod $(p, v_{1}, \dots, v_{n + 1})$ , of all $E_{1}$ -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…

math.AT2024

Topological $Δ G$ homology of rings with twisted $G$ -action

Gabriel Angelini-Knoll, Mona Merling, Maximilien Péroux

We construct topological $Δ G$ -homology for rings with twisted $G$ -action. Here a ring with twisted $G$ -action is a common generalization of a ring with anti-involution and a ring w…

Topological Hochschild homology of truncated Brown-Peterson spectra II

Real syntomic cohomology

Syntomic cohomology of Morava K-theory

Topological ΔG homology of rings with twisted G-action

Topological $Δ G$ homology of rings with twisted $G$ -action