Sasha Viktorova (Alexandra)
Currently, I am a postdoctoral researcher at KU Leuven, funded by the Methusalem Project in Pure Mathematics.
I completed my PhD thesis "Singular cubic threefolds and their cohomology" in 2022 at Stony Brook University, under the supervision of Radu Laza.
My research is in algebraic and complex geometry. My interests include cubic hypersurfaces, hyperkähler varieties, K3 surfaces, moduli spaces, and singularity theory.
Papers:
Irreducible symplectic varieties via relative Prym varieties, with Emma Brakkee, Chiara Camere, Annalisa Grossi, Laura Pertusi, and Giulia Saccà, preprint.
The defect of a cubic threefold, with Lisa Marquand, submitted.
On the classification of singular cubic threefolds, submitted.
Talks 2022-2023:
Cubic threefolds, singularities, and their invariants, Young Scholar Day, Belgian Mathematical Society, Brussels, December 2023
Singular cubic theefolds and their invariants, Séminaire de l'équipe d'algèbre, topologie et géométrie, Laboratoire J.A. Dieudonné, Nice, December 2023
Relative Prym varieties associated to K3 surfaces with an involution, Séminaire de Géométrie Complexe, Toulouse Mathematics Institute, November 2023
Irreducible symplectic varieties and Prym fibrations, SFB Colloquium, University of Regensburg, October 2023
The defect of a cubic threefold, Conference: Singularities, CIRM, Marseille, September 2023
The defect of a cubic threefold, School: K3 surfaces, hyperkähler manifolds, and cubic fourfolds, Hausdorff Research Institute for Mathematics, Bonn, September 2023
Lagrangian Prym fibrations associated to double covers of rational surfaces, Japanese-European Symposium on Symplectic Varieties and Moduli Spaces, University of Milan, May 2023
On singular cubic threefolds, Junior Belgian-Dutch Algebraic Geometry Seminar, Leiden University, October 2022
On the classification of singular cubic threefolds, Seminar Number Theory and Algebraic Geometry, KU Leuven, September 2022
Singular symplectic varieties, moduli spaces on K3 surfaces, and Prym varieties, Joint Mathematics Meetings, April 2022