The algebraic K-theory spectrum KGL, the motivic Adams summand ML and their connective covers have unique E1-structures refining their naive multiplicative structures in the motivic stable homotopy category. These results are deduced from T-homology computations in motivic obstruction theory
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated...
In this paper, we continue the program initiated by Kahn\u2013Saito\u2013Yamazaki by constructing an...
We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p fo...
The algebraic K-theory spectrum KGL, the motivic Adams summand ML and their connective covers have u...
This Ph.D. thesis deals with E1-ring structures on the Hermitian K-theory in the motivic setting, mo...
Abstract. We refine our earlier work on the existence and uniqueness of E ∞ structures on K-theoreti...
Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an eq...
This thesis is concerned with the application of certain computational methods from stable algebraic...
In this paper, we study twisted algebraic $K$-theory from a motivic viewpoint. For a smooth variety ...
We develop a theory of model ∞-categories -- that is, of model structures on ∞-categories -- which p...
The algebraic $K$-theory of Waldhausen $\infty$-categories is the functor corepresented by the unit ...
In this paper we show that a conjecture of Voevodsky about the slices of the motivic cobordism spect...
Thomason's \'{e}tale descent theorem for Bott periodic algebraic $K$-theory \cite{aktec} is generali...
Algebraic K-theory and motivic cohomology have developed together over the last thirty years. Both o...
We show that mapping spaces in the p-local motivic stable category over an Fp-scheme are strictly co...
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated...
In this paper, we continue the program initiated by Kahn\u2013Saito\u2013Yamazaki by constructing an...
We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p fo...
The algebraic K-theory spectrum KGL, the motivic Adams summand ML and their connective covers have u...
This Ph.D. thesis deals with E1-ring structures on the Hermitian K-theory in the motivic setting, mo...
Abstract. We refine our earlier work on the existence and uniqueness of E ∞ structures on K-theoreti...
Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an eq...
This thesis is concerned with the application of certain computational methods from stable algebraic...
In this paper, we study twisted algebraic $K$-theory from a motivic viewpoint. For a smooth variety ...
We develop a theory of model ∞-categories -- that is, of model structures on ∞-categories -- which p...
The algebraic $K$-theory of Waldhausen $\infty$-categories is the functor corepresented by the unit ...
In this paper we show that a conjecture of Voevodsky about the slices of the motivic cobordism spect...
Thomason's \'{e}tale descent theorem for Bott periodic algebraic $K$-theory \cite{aktec} is generali...
Algebraic K-theory and motivic cohomology have developed together over the last thirty years. Both o...
We show that mapping spaces in the p-local motivic stable category over an Fp-scheme are strictly co...
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated...
In this paper, we continue the program initiated by Kahn\u2013Saito\u2013Yamazaki by constructing an...
We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p fo...
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