11 citations · 29 across the 20 of their papers we have counts for
21 papers
On the integral algebraic K-theory of Morava K-theory
Gabriel Angelini-Knoll, Haldun Özgür Bayındır
We compute the cardinalities of the integral algebraic K-theory groups of connective Morava K-theory in all degrees that are not congruent to or modulo . After…
Topological symmetric and braid homologies
Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2
We identify topological symmetric homology as the free -algebra on an -algebra and topological braid homology as the free -algebra on…
Topological Hochschild homology of truncated Brown-Peterson spectra II
Gabriel Angelini-Knoll, Maxime Chaminadour
We compute topological Hochschild homology of -MU-algebra forms of the second truncated Brown-Peterson spectrum with Adams summand coefficients at and condition…
Syntomic cohomology of truncated Brown--Peterson spectra
Gabriel Angelini-Knoll
We compute the -based syntomic cohomologies, mod , of all -algebra forms of the truncated Brown--Peterson spectrum $\ma…
Spoke topological Hochschild homology
Gabriel Angelini-Knoll, Foling Zou
Fix primes and , and let be the cyclic group of order . We compute the -equivariant spoke topological Hochschild homology of …
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…
Syntomic cohomology of Morava K-theory
Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson
We compute the MU-based syntomic cohomologies, mod , of all -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…
Topological homology of rings with twisted -action
Gabriel Angelini-Knoll, Mona Merling, Maximilien Péroux
We construct topological -homology for rings with twisted -action. Here a ring with twisted -action is a common generalization of a ring with anti-involution and a ring w…
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…
A deformation of Borel equivariant homotopy
Gabriel Angelini-Knoll, Mark Behrens, Eva Belmont +1
We describe a deformation of the -category of Borel -spectra for a finite group . This provides a new presentation of the -complete real Artin--Tate motivic stable…
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…
Real topological Hochschild homology via the norm and Real Witt vectors
Gabriel Angelini-Knoll, Teena Gerhardt, Michael A. Hill
We prove that Real topological Hochschild homology can be characterized as the norm from the cyclic group of order to the orthogonal group . From this perspective, we the…
Topological Hochschild homology of truncated Brown-Peterson spectra I
Gabriel Angelini-Knoll, Dominic Leon Culver, Eva Höning
We compute topological Hochschild homology of sufficiently structured forms of truncated Brown--Peterson spectra with coefficients. In particular, we compute $\mathrm{THH}_*(B\lang…
Complex orientations and of complete DVRS
Gabriel Angelini-Knoll
Let be finite extension of with ring of integers . I show that periodic topological cyclic homology of , over the base $\mathbb{E}_…
Commuting unbounded homotopy limits with Morava K-theory
Gabriel Angelini-Knoll, Andrew Salch
This paper provides conditions for Morava -theory to commute with certain homotopy limits. These conditions extend previous work on this question by allowing for homotopy limits…
A homological approach to chromatic complexity of algebraic K-theory
Gabriel Angelini-Knoll, J. D. Quigley
The family of Thom spectra interpolates between the sphere spectrum and the mod two Eilenberg--MacLane spectrum. Computations of Mahowald, Ravenel, Shick, and the authors sh…
Detecting elements in iterated algebraic K-theory
Gabriel Angelini-Knoll
The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-theory groups. The Ausoni--Rognes red-shift conjectures generalize the LQC to high…
The Segal Conjecture for topological Hochschild homology of the Ravenel spectra
Gabe Angelini-Knoll, J. D. Quigley
In the 1980's, Ravenel introduced sequences of spectra and which played an important role in the proof of the Nilpotence Theorem of Devinatz--Hopkins--Smith. In the p…
On topological Hochschild homology of the -local sphere
Gabe Angelini-Knoll
We compute topological Hochschild homology mod and of the connective cover of the -local sphere spectrum for all primes . This is accomplished using a May-t…
A May-type spectral sequence for higher topological Hochschild homology
Gabe Angelini-Knoll, Andrew Salch
Given a filtration of a commutative monoid in a symmetric monoidal stable model category , we construct a spectral sequence analogous to the May spectral sequence…
Maps of simplicial spectra whose realizations are cofibrations
Gabe Angelini-Knoll, Andrew Salch
Given a map of simplicial topological spaces, mild conditions on degeneracies and the levelwise maps imply that the geometric realization of the simplicial map is a cofibration. Th…