T. Brazelton

activity

20172021

most citedHomotopy Mackey functors of equivariant algebraic

K

-theory

1 citations · 1 across the 3 of their papers we have counts for

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math.AT2024

There is no Cazanave's Theorem for punctured affine space

Thomas Brazelton, William Hornslien

In his thesis, Cazanave proved that the set of naive $A^{1}$ -homotopy classes of endomorphisms of the projective line admits a monoid structure whose group completion is gen…

math.AT2021★ 1 cited

Homotopy Mackey functors of equivariant algebraic $K$ -theory

Thomas Brazelton

Given a finite group $G$ acting on a ring $R$ , Merling constructed an equivariant algebraic $K$ -theory $G$ -spectrum, and work of Malkiewich and Merling, as well as work of Barwick,…

math.AT2019

The trace of the local $A^{1}$ -degree

Thomas Brazelton, Robert Burklund, Stephen McKean +2

We prove that the local $A^{1}$ -degree of a polynomial function at an isolated zero with finite separable residue field is given by the trace of the local $A^{1}$ -deg…

math.AT2018

Constructing the Unstable Motivic Homotopy Category Using $(\infty, 1)$ -Categories

Thomas Brazelton

This is an expository paper providing an overview of the unstable motivic homotopy category using the theory of $(\infty, 1)$ -categories. In this paper, we examine two constructions…

There is no Cazanave's Theorem for punctured affine space

Homotopy Mackey functors of equivariant algebraic K-theory

The trace of the local A1-degree

Constructing the Unstable Motivic Homotopy Category Using (∞,1)-Categories

Homotopy Mackey functors of equivariant algebraic $K$ -theory

The trace of the local $A^{1}$ -degree

Constructing the Unstable Motivic Homotopy Category Using $(\infty, 1)$ -Categories