41 citations · 121 across the 22 of their papers we have counts for
22 papers
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 -categories (and more generally of category-objects…
A braided monoidal -category of Soergel bimodules
Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…
Perverse schobers and 3d mirror symmetry
Benjamin Gammage, Justin Hilburn, Aaron Mazel-Gee
The proposed physical duality known as 3d mirror symmetry relates the geometries of dual pairs of holomorphic symplectic stacks. It has served in recent years as a guiding principl…
Derived Mackey functors and -equivariant cohomology
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
We establish a novel approach to computing -equivariant cohomology for a finite group , and demonstrate it in the case that . For any commutative ring spectrum $…
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 to its stable -category of noncommutative motives, patterned after the unive…
Dualizable objects in stratified categories and the 1-dimensional bordism hypothesis for recollements
Grigory Kondyrev, Aaron Mazel-Gee, Jay Shah
Given a monoidal -category equipped with a monoidal recollement, we give a simple criterion for an object in to be dualizable in terms of the dualizability of each…