Martin Kalck

Singularity categories of gentle algebras

We determine the singularity category of an arbitrary finite dimensional gentle algebra

Frobenius categories, Gorenstein algebras and rational surface singularities

\Lambda

Relative singularity categories I: Auslander resolutions

. It is a finite product of

Spherical subcategories in algebraic geometry

n

Spherical subcategories in representation theory

-cluster categories of type

Derived categories of graded gentle one-cycle algebras

\mathbb{A}_{1}

Ringel duality for certain strongly quasi-hereditary algebras

. Equivalently, it may be described as the stable module category of a selfinjective gentle algebra. If

A remark on Leclerc's Frobenius categories

\Lambda

The relative singularity category of a non-commutative resolution of singularities

is a Jacobian algebra arising from a triangulation

Relative singularity category of a non-commutative resolution of singularities

\ct