Publications
Fano varieties with torsion in the third cohomology group (with J. V. Rennemo). arXiv (2023).
Planes in cubic fourfolds (with A. Degtyarev and I. Itenberg) Algebraic Geometry (to appear)
An O-acyclic variety of even index (with F. Suzuki, and an appendix by O. Wittenberg) Mathematische Annalen (to appear)
Tropical degenerations and stable rationality (with J. Nicaise) Duke Mathematical Journal 171 (2022), 3023 - 3075,
A refinement of the motivic volume, and specialization of birational types (with J. Nicaise) Rationality of Varieties, Progress in Mathematics 342, 291-322 (2021).
Two coniveau filtrations (with O. Benoist) Duke Mathematical Journal 170 (2021) 2719-2753
A pencil of Enriques surfaces with non-algebraic integral Hodge classes (with F. Suzuki) Mathematische Annalen 377 (2020), 183–197.
On deformations of quintic and septic hypersurfaces (with S. Schreieder) Journal de Mathématiques Pures et Appliquées 135 (2020), 140-158.
Remarks on the positivity of the cotangent bundle of a K3 surface (with F. Gounelas) Épijournal de Géométrie Algébrique 4 (2020).
Curve classes on irreducible holomorphic symplectic varieties (with G. Mongardi) Communications in Contemporary Mathematics (2020)
Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero (with O. Benoist). Commentarii Mathematici Helvetici 95 (2020) 27-35.
A counterexample to the birational Torelli problem for Calabi-Yau 3-folds (with J. V. Rennemo). Journal of the London Mathematical Society 97 (2018), 427-440
Positivity of the diagonal (with B. Lehmann). Advances in Mathematics 335 (2018), 664-695.
Nef cycles on some hyperkahler fourfolds. Facets of Algebraic Geometry: A Volume in Honour of William Fulton's 80th Birthday' (to appear).
Effective cones of cycles on blow-ups of projective space (with I. Coskun, J. Lesieutre). Algebra & Number Theory 10-9 (2016).
Curves disjoint from a nef divisor (with J. Lesieutre). Michigan Mathematical Journal 65 (2016), 321-332.
On subvarieties with ample normal bundle. Journal of the European Mathematical Society 18 (2016), 2459-2468
Birational geometry of hypersurfaces in products of projective spaces. Mathematische Zeitschrift 280 (2015), 135-148
Partially ample line bundles on toric varieties. (with N. Broomhead and A. Prendergast-Smith). Glasgow Math. J. 58 (2016)
Quartic spectrahedra (with K. Ranestad, B. Sturmfels, C. Vinzant) Mathematical Programming 151 (2), 585-612 (2015).
Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868-2887.
Components of the Hilbert scheme of space curves on low-degree smooth surfaces (with J. O. Kleppe). International Journal of Mathematics Vol. 26, (2015)
Algebraic boundaries of Hilbert's SOS cones (with G. Blekherman, J. Hauenstein, K. Ranestad and B. Sturmfels). Compositio Mathematica 148 (2012).
The Cox ring of a K3 surface of Picard number two. Journal of Pure and Applied Algebra 217 (2013), 709-715.
On the Cox Ring of P2 Blown Up in Points on a Line. Mathematica Scandinavica 9, (2011), 21-31.
Other
Appendix to Nodal quintic surfaces and lines on cubic fourfolds by D. Huybrechts (2022).
Stable rationality of some complete intersections in the degree five Grassmannian (2023)
Tropical degenerations and stable rationality. Oberwolfach Report (2022)
Positivity of the diagonal. Oberwolfach Report (2017)
Mori dream hypersurfaces. Oberwolfach Report (2014)
Notes and Videos
Fano varieties with torsion in H^3. UCLA 2023.
"Curves on varieties" RTG Graduate workshop, Stony Brook, 2022.
Specialization techinques and stable rationality (Winter school in Charmey, 2022)
Tropical degenerations and stable rationality: Video 1 Video 2 Video 3 Video 4 Slides
Stable irrationality of the very general quartic fivefold Notes for a talk on the paper with Johannes Nicaise.
Enriques surfaces of even index: Slides Video
The Integral Hodge conjecture Lecture notes for GAeL 2021
Videos: Lecture 1, Lecture 2, Lecture 3, Lecture 4,
Positivity of higher codimension cycles. Summer School, Vlieland, September 2016.