Christian Ausoni

activity

20072023

most citedOn the algebraic K-theory of the complex K-theory spectrum

20 citations · 48 across the 8 of their papers we have counts for

collaborators

Showing 2022 · math.ATShow all

2 papers · 2 filters

math.AT2022

Adjunction of roots, algebraic $K$ -theory and chromatic redshift

Christian Ausoni, Haldun Özgür Bayındır, Tasos Moulinos

Given an $E_{1}$ -ring $A$ and a class $a \in π_{mk} (A)$ satisfying a suitable hypothesis, we define a map of $E_{1}$ -rings $A \to A (m a)$ realizing the adjunction of an $m$ th ro…

math.AT2022★ 2 cited

Algebraic K-theory of elliptic cohomology

Gabriel Angelini-Knoll, Christian Ausoni, Dominic Leon Culver +2

We calculate the mod (p, v_1, v_2) homotopy V(2)_* TC(BP<2>) of the topological cyclic homology of the truncated Brown--Peterson spectrum BP<2>, at all primes p\ge7, and show that…

Adjunction of roots, algebraic K-theory and chromatic redshift

Algebraic K-theory of elliptic cohomology

Adjunction of roots, algebraic $K$ -theory and chromatic redshift