4 papers
math.AT2019
Unstable Motivic Homotopy Theory
Kirsten Wickelgren, Ben Williams
We give an introduction to unstable motivic homotopy theory of Morel and Voevodsky, and survey some results.
math.AG2018
An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula
Candace Bethea, Jesse Leo Kass, Kirsten Wickelgren
M. Levine proved an enrichment of the classical Riemann-Hurwitz formula to an equality in the Grothendieck-Witt group of quadratic forms. In its strongest form, Levine's theorem in…
math.AT2015
Desuspensions of S^1 /\ P^1_Q-{0,1,infty}
Kirsten Wickelgren
We use the Galois action on to show that the homotopy equivalence $S^1 \wedge (\mathbb{G}_{m,\mathbb{Q}}…
math.AT2011
n-Nilpotent Obstructions to pi_1 Sections of P^1-{0,1,infty} and Massey Products
Kirsten Wickelgren
Let pi be a pro-l completion of a free group, and let G be a profinite group acting continuously on pi. First suppose the action is given by a character. Then the boundary maps del…