Thor Wittich

activity

20232026

collaborators

5 papers

math.KT2026

K_1 of matroids

Thor Wittich

Using the geometric realization spectral sequence and the Serre spectral sequence, we compute $K_{1} (Mat_{*})$ , the first K-theory group of the proto-exact category of p…

math.AG2026

Algebraic Knots and their Universal K^MW_2-Coverings

Matthias Wendt, Thor Wittich

Over suitable base fields $k$ of characteristic not $2$ , including algebraically closed ones, we construct universal abelian $K_{2}^{MW}$ -co…

math.KT2025

Higher Spherical Scissors Congruence I: Hopf Algebra

Inbar Klang, Josefien Kuijper, Cary Malkiewich +2

In the study of the generalization of Hilbert's Third Problem to spherical geometry, Sah constructed a Hopf algebra of spherical polytopes with product given by join and coproduct…

math.CT2025

From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$ -categories

Inbar Klang, Josefien Kuijper, Cary Malkiewich +2

We show that algebra objects in model categories can be transferred to algebra objects in $\infty$ -categories, without any cofibrancy or fibrancy assumptions on the algebra. We fur…

math.AT2023

Operations on Milnor-Witt K-theory

Thor Wittich

For all positive integers $n$ and all homotopy modules $M_{*}$ , we define certain operations $K_{n}^{MW} \to M_{*}$ and show that these…

K_1 of matroids

Algebraic Knots and their Universal K^MW_2-Coverings

Higher Spherical Scissors Congruence I: Hopf Algebra

From Hopf Algebras in Model Categories to Hopf Algebras in ∞-categories

Operations on Milnor-Witt K-theory

From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$ -categories