William Balderrama

activity

20212026

collaborators

4 papers

math.AT2026

Kahn-Priddy theorems via the norm

William Balderrama

We revisit the Kahn-Priddy theorem from the perspective of modern equivariant homotopy theory. This allows for a short proof that may be applied in other settings with sufficiently…

math.AT2023

A motivic analogue of the K(1)-local sphere spectrum

William Balderrama, Kyle Ormsby, J. D. Quigley

We identify the motivic $K G L /2$ -local sphere as the fiber of $ψ^{3} - 1$ on $(2, η)$ -completed Hermitian $K$ -theory, over any base scheme containing $1/2$ . This is a motivic analogue of…

math.AT2021

The motivic lambda algebra and motivic Hopf invariant one problem

William Balderrama, Dominic Leon Culver, J. D. Quigley

We investigate forms of the Hopf invariant one problem in motivic homotopy theory over arbitrary base fields of characteristic not equal to $2$ . Maps of Hopf invariant one classica…

math.AT2021

Algebraic theories of power operations

William Balderrama

We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well-behaved theories…