18 citations · 38 across the 12 of their papers we have counts for
13 papers
Mathematical Models of Computation in Superposition
Kaarel Hänni, Jake Mendel, Dmitry Vaintrob +1
Superposition -- when a neural network represents more ``features'' than it has dimensions -- seems to pose a serious challenge to mechanistically interpreting current AI systems.…
Sylow theorems for supergroups
Vera Serganova, Alexander Sherman, Dmitry Vaintrob
We introduce Sylow subgroups and -groups to the theory of complex algebraic supergroups, which mimic Sylow subgroups and -groups in the theory of finite groups. We prove that…
A bound on the Hodge filtration of the de Rham cohomology of supervarieties
Alexander Polishchuk, Dmitry Vaintrob
We study the relation between the Hodge filtration of the de Rham cohomology of a proper smooth supervariety and the usual Hodge filtration of the corresponding reduced variety…
Localization for CS manifolds and volume of homogeneous superspaces
Vera Serganova, Dmitry Vaintrob
We prove the Schwarz-Zaboronsky localization theorem for CS manifolds and use this to give a volume calculation for homogeneous superspaces for super-Lie groups that lack a real fo…
Formality of little disks and algebraic geometry
Dmitry Vaintrob
We construct a canonical chain of formality quasiisomorphisms for the operad of chains on framed little disks and the operad of chains on little disks. The construction is done in…
The Deligne-Mumford operad as a trivialization of the circle action
Alexandru Oancea, Dmitry Vaintrob
We prove that the tree-like Deligne-Mumford operad is a homotopical model for the trivialization of the circle in the higher-genus framed little discs operad. Our proof is based on…