320 citations · 1.6k across the 58 of their papers we have counts for
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Representations of the oriented skein category
Jonathan Brundan
The oriented skein category is a ribbon category which underpins the definition of the HOMFLY-PT invariant of an oriented link, in the same way that the Temperley-Lieb ca…
The p-centre of Yangians and shifted Yangians
Jonathan Brundan, Lewis Topley
We study the Yangian associated to the general linear Lie algebra over a field of positive characteristic, as well as its shifted analog . Our main…
On the definition of Heisenberg category
Jonathan Brundan
We revisit the definition of the Heisenberg category of central charge k. For central charge -1, this category was introduced originally by Khovanov, but with some additional cycli…
A basis theorem for the degenerate affine oriented Brauer-Clifford supercategory
Jonathan Brundan, Jonathan Comes, Jonathan R. Kujawa
We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercategories. These are diagrammatically defined monoidal supercategories which provide…
Type C blocks of super category O
Jonathan Brundan, Nicholas Davidson
We show that the blocks of category O for the Lie superalgebra q_n associated to half-integral weights carry the structure of a tensor product categorification for the infinite ran…
Super Kac-Moody 2-categories
Jonathan Brundan, Alexander P. Ellis
We introduce generalizations of Kac-Moody 2-categories in which the quiver Hecke algebras of Khovanov, Lauda and Rouquier are replaced by the quiver Hecke superalgebras of Kang, Ka…