Aaron Mazel-Gee

collaborators

3 papers

math.AT2025

Symmetries of the cyclic nerve

David Ayala, Aaron Mazel-Gee, Nick Rozenblyum

We undertake a systematic study of the Hochschild homology, i.e. (the geometric realization of) the cyclic nerve, of $(\infty, 1)$ -categories (and more generally of category-objects…

math.KT2024

A universal characterization of noncommutative motives and secondary algebraic K-theory

Aaron Mazel-Gee, Reuben Stern

We provide a universal characterization of the construction taking a scheme $X$ to its stable $\infty$ -category $Mot (X)$ of noncommutative motives, patterned after the unive…

math.AT2024

Factorization homology of enriched $\infty$ -categories

David Ayala, John Francis, Aaron Mazel-Gee +1

For an arbitrary symmetric monoidal $\infty$ -category $V$ , we define the factorization homology of $V$ -enriched $(\infty, 1)$ -categories over (possibly stratifie…

Symmetries of the cyclic nerve

A universal characterization of noncommutative motives and secondary algebraic K-theory

Factorization homology of enriched ∞-categories

Factorization homology of enriched $\infty$ -categories