Published/accepted papers
Fano varieties with torsion in the third cohomology group (with J.C. Ottem). Accepted for publication in Journal für die reine und angewandte Mathematik.
A Proof of the Donaldson-Thomas Crepant Resolution Conjecture (with S.V. Beentjes & J. Calabrese). Inventiones Mathematicae, 229 (2022), 451-562
Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points (with A. Krug). Math. Nachr. 295 (2022), no.1, 158–174.
The Homological Projective Dual of Sym^2 P(V) (Ph.D. Thesis). Compositio Mathematica, 156 (2020), no. 3, 476-525
Automorphisms of Hilbert schemes of points on surfaces (with P. Belmans and G. Oberdieck). Trans. Amer. Math. Soc. 373 (2020), no. 9, 6139–6156.
Hori-Mological Projective Duality (with E. Segal). Duke Mathematical Journal 168 (2019), no. 11, 2127–2205. Some supporting calculations are in this addendum.
A Non-Commutative Bertini Theorem Rennemo (with E. Segal & M. Van den Bergh). Journal of Noncommutative Geometry, 13 (2019), no. 2, 609-616.
Hochschild Cohomology versus the Jacobian Ring and the Torelli Theorem for Cubic Fourfolds (with D. Huybrechts) Algebraic Geometry, 6 (2019), no. 1, 76–99.
A Counterexample to the Birational Torelli Problem for Calabi-Yau Threefolds (with J.C. Ottem). Journal of the London Mathematical Society, 97 (2018), no. 3, 427–440.
Homology of Hilbert Schemes of Points on a Locally Planar Curve. Journal of the European Mathematical Society, 20 (2018), no. 7, 1629–1654.
Universal Polynomials for Tautological Integrals on Hilbert Schemes. Geometry & Topology, 21 (2017), no. 1, 253–314.
Appendix to Marco-Buzunáriz, M. A.: A Polynomial Generalization of the Euler Characteristic for Algebraic Sets. Journal of Singularities, 4 (2012), 4, 114–130.
Preprints
IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces (with X. Lin and S. Zhang). 2024.
The Fundamental Theorem of Homological Projective Duality via Variation of GIT Stability. 2017.