License: Most of my papers are available under the standard arXiv perpetual non-exclusive license, which does not grant further reuse permissions directly. I am not a lawyer, but if you think that what you are doing with one of my papers will help (in any form) to test or improve (no matter how little) a product for commercial purposes, I would ask you to please refrain from doing so without asking for permission.
Publications and preprints
Finite generation of Noether--Lefschetz divisors and the slope of the moduli space of cubic fourfolds (with S. He and P. Kiefer), preprint (2026).
ArXiv
Extremal divisors on moduli spaces of K3 surfaces (with L. Flapan and R. Zuffetti), preprint (2025). With an accompanying SageMath file and a README.pdf.
ArXiv
A simple criterion for the uniruledness of an orthogonal modular variety, to appear in the Schiermonnikoog volume on “Moduli Spaces and Modular Forms”.
ArXiv
Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds (with P. Beri, L. Flapan, and B. Williams), Mathematische Annalen 394 (2026), Article No. 27.
Journal / ArXiv
On the irrationality of moduli spaces of projective hyperkähler manifolds (with D. Agostini and K.-W. Lai), Épijournal de Géométrie Algébrique EPIGA 9 (2025), Article No. 13.
Journal / ArXiv
Kodaira dimension of moduli spaces of hyperkähler varieties (with P. Beri, E. Brakkee, and L. Flapan), Algebraic Geometry 13 (2026), 108-153.
Journal / ArXiv
The Kodaira classification of the moduli of hyperelliptic curves (with S. Mullane and an appendix by I. Schwarz), Journal of Algebraic Geometry 34 (2025), 685-753.
Journal / ArXiv
On the irrationality of moduli spaces of K3 surfaces (with D. Agostini and K.-W. Lai), Trans. Amer. Math. Soc. 376 (2023), 1407-1426.
Journal / ArXiv
Pencils on surfaces with normal crossings and the Kodaira dimension of M_{g,n} (with D. Agostini), Forum of Mathematics, Sigma 9 (2021), E31, 1-22. With an auxiliary Macaulay2 code
Journal / ArXiv
On product identities and the Chow rings of holomorphic symplectic varieties (with L. Flapan, A. Marian, and R. Silversmith), Selecta Mathematica New Ser. 28 (2022), 46.
Journal / ArXiv
Two moduli spaces of Calabi-Yau type (with S. Mullane), Int. Math. Res. Not. IMRN 2021 (2021), 15833-15849.
Journal / ArXiv
Geometry of the moduli space of n-pointed K3 surfaces of genus 11, Bull. London Math. Soc. 50 (2018), 1071-1084.
Journal / ArXiv
Uniruledness of strata of holomorphic differentials in small genus, Advances in Mathematics 333 (2018), 270-693.
Journal / ArXiv
K3 surfaces and moduli of holomorphic differentials, PhD Thesis, Humboldt-Universität zu Berlin, August 2018.
Thesis
Other
Algebraic circuits over sum and shift and existential Presburger arithmetic with divisibility (with M. Cadilhac and G. Pérez), preprint (2026).
ArXiv
IMProofBench: Benchmarking AI on research-level mathematical proof generation (I acted as one of many reviewers on this project led by J. Schmitt), preprint (2026).
ArXiv
Notes/Slides/Talks
Talk (video) on the irrationality of moduli of K3s, Derived Seminar, February 16, 2021
Boston College (video), October 22, 2020
ETH, April 17, 2020
IGAFA, February 12, 2019
HERE for the state of the art on the Kodaira classification of M_{g,n} !!