We associate a monoidal category H _B HB, defined in terms of planar diagrams, to any
graded Frobenius superalgebra B. This category acts naturally on modules over the wreath …

We revisit the definition of the Heisenberg category of central charge k∈ Z. For central
charge− 1, this category was introduced originally by Khovanov, but with some additional …

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We associate a monoidal category H λ to each dominant integral weight λ of sl ˆ p or sl∞.
These categories, defined in terms of planar diagrams, act naturally on categories of …

We associate a diagrammatic monoidal category Heis k (A; z, t), which we call the quantum
Frobenius Heisenberg category, to a symmetric Frobenius superalgebra A, a central charge …

We study the structure and representation theory of affine wreath product algebras and their
cyclotomic quotients. These algebras, which appear naturally in Heisenberg categorification …

These are lecture notes for a mini-course given at the conference Interactions of Quantum
Affine Algebras with Cluster Algebras, Current Algebras, and Categorification in June 2018 …

We give an explicit description of the trace, or Hochschild homology, of the quantum
Heisenberg category defined in Licata and Savage (Quantum Topol 4 (2): 125–185, 2013 …

We define a faithful linear monoidal functor from the partition category, and hence from
Deligne's category Rep. St/, to the additive Karoubi envelope of the Heisenberg category …

Starting from a graded Frobenius superalgebra B, we consider a graphical calculus of B-
decorated string diagrams. From this calculus we produce algebras consisting of closed …