Gabriel Angelini-Knoll

collaborators

13 papers

math.AT2026

On the integral algebraic K-theory of Morava K-theory

Gabriel Angelini-Knoll, Haldun ÃzgÃ¼r BayÄ±ndÄ±r

We compute the cardinalities of the integral algebraic K-theory groups of connective Morava K-theory $k (n)$ in all degrees that are not congruent to $0$ or $1$ modulo $2 p - 2$ . After…

math.KT2026

Syntomic cohomology of truncated Brown--Peterson spectra

Gabriel Angelini-Knoll

We compute the $MU$ -based syntomic cohomologies, mod $(p, v_{1}, \dots, v_{n})$ , of all $E_{1}$ $MU$ -algebra forms of the truncated Brown--Peterson spectrum $\ma…

math.AT2026

Spoke topological Hochschild homology

Gabriel Angelini-Knoll, Foling Zou

Fix primes $p$ and $ℓ$ , and let $C_{p}$ be the cyclic group of order $p$ . We compute the $C_{p}$ -equivariant spoke topological Hochschild homology of $F_{ℓ}$ …

math.AT2026

Algebraic K-theory of real topological K-theory

Gabriel Angelini-Knoll, Christian Ausoni, John Rognes

We determine the A(1)-homotopy of the topological cyclic homology of the connective real K-theory spectrum ko. The answer has an associated graded that is a free F_2[v_2^4]-module…

math.AT2026

Topological symmetric and braid homologies

Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2

We identify topological symmetric homology as the free $E_{\infty}$ -algebra on an $E_{1}$ -algebra and topological braid homology as the free $E_{2}$ -algebra on…

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…