Reformulations of Hartshorne's conjecture.
The geometry of spaces of rational curves in complete intersections.
Automorphisms of irreducible holomorphic symplectic varieties.
Exceptional singularities.
Algebraic torus actions of complexity one.
Normal singularities with torus action.
Slopes of smooth curves on Fano manifolds.
Weak Landau--Ginzburg models for Fano threefolds and their properties.