11 citations · 29 across the 20 of their papers we have counts for
18 papers · 1 filter
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…
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…
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…
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…