A bicategorical approach to static modules.
A brief review of abelian categorifications.
A classification of degree functors, I
A Continuity Criterion for Functors.
A faithful linear-categorical action of the mapping class group of a surface with boundary
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.
A Flatness Criterion in Grothendieck Categories.
A Foruier-Mukai transform for stable bundles on K3 surfaces.
A general acyclicity lemma and its uses
A New Proof of the Eilenberg-Zilber-Cartier Theorem.
A note on certain subgroups of Hom
A note on free regular and exact completions and their infinitary generalizations.
A note on model structures on arbitrary Frobenius categories
We show that there is a model structure in the sense of Quillen on an arbitrary Frobenius category such that the homotopy category of this model structure is equivalent to the stable category as triangulated categories. This seems to be well-accepted by experts but we were unable to find a complete proof for it in the literature. When is a weakly idempotent complete (i.e., every split monomorphism is an inflation) Frobenius category, the model structure we constructed is an exact (closed)...
A note on the exact completion of a regular category, and its infinitary generalizations.
A Note on the Structure of Injective Diagrams.
A remark on the generalized smashing conjecture.
A Remark on tilting theory and DG algebras.
A representation theorem for certain Boolean lattices.
Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.
A right exactness property for internal categories
A survey on symplectic singularities and symplectic resolutions
This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions.
A Universal Coefficient Theorem for Categories with Kernels.