We introduce the notion of a Hyper-Kähler manifold X induced by a Hodge structure of K3-
type. We explore this notion for the known deformation types of Hyper-Kähler manifolds …

We classify the group of birational automorphisms of Hilbert schemes of points on algebraic
K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or …

In this paper, we discuss the problem of whether the difference $[X]-[Y] $ of the classes of a
Fourier--Mukai pair $(X, Y) $ of smooth projective varieties in the Grothendieck ring of …

We study twisted derived equivalences of hyper-K\" ahler fourfolds. We describe when two
hyper-K\" ahler fourfolds of $ K3^{[2]} $-type of Picard rank $1 $ with isomorphic …

In this paper, we discuss the problem of whether the difference XY XY of the classes of a
Fourier–Mukai pair (X, Y) of smooth projective varieties in the Grothendieck ring of varieties …

We give four examples of pairs of (conjecturally irrational) cubic fourfolds with birationally
equivalent (and in some cases isomorphic) Fano varieties of lines. Two of our examples …

For infinitely many d, Hassett showed that special cubic fourfolds of discriminant d are
related to polarised K3 surfaces of degree d via their Hodge structures. For half of the d …

We provide a criterion for when Hilbert squares of complex projective K3 surfaces with
Picard number one are strongly ambiguous. This criterion is the same as [DM, Proposition …

An example of birationally inequivalent projective symplectic varieties which are D-equivalent
and L-equivalent | Mathematische Zeitschrift Skip to main content SpringerLink Account Menu …

My thesis work focuses on double EPW sextics, a family of hyperkähler manifolds which, in
the general case, are equivalent by deformation to Hilbert's scheme of two points on a K3 …