Preprints

1. (with Gebhard Martin, Yuya Matsumoto) Linearly reductive quotient singularities,
   51 pages, February 2, 2021.
2. (with Xi Chen, Frank Gounelas) Curves on K3 surfaces,
   38 pages, July 1, 2019.
3. (with Xi Chen, Frank Gounelas) Rational curves on lattice-polarised K3 surfaces,
   37 pages, July 1, 2019.

Publications

1. (with Bruno Chiarellotto, Christopher Lazda) Good Reduction of K3 Surfaces in Equicharacteristic p,
   to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
2. (with Kazuhiro Ito, Tetsushi Ito) Deformations of Rational Curves in Positive Characteristic,
   J. Reine Angew. Math. 769 (2020), 55-86.
3. (with Oliver Gregory) p-adic Tate conjectures and abeloid varieties,
   Doc. Math. 24 (2019), 1879-1934.
4. (with Bruno Chiarellotto, Christopher Lazda) A Néron-Ogg-Shafarevich criterion for K3 surfaces,
   Proc. Lond. Math. Soc. 119 (2019), 469-514.
5. (with Yuya Matsumoto) Good Reduction of K3 Surfaces,
   Compos. Math. 154 (2018), 1–35.
6. The Picard Rank of an Enriques Surface,
   Math. Res. Lett. 24 (2017), no. 6, 1729-1737.
7. Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces,
   Geometry over Nonclosed Fields, 157-196, Springer (2017).
8. Arithmetic Moduli and Lifting of Enriques Surfaces,
   J. Reine Angew. Math. 706 (2015), 35-65.
9. Supersingular K3 surfaces are unirational,
   Invent. Math. 200 (2015), 979-1014.
10. (with Matthew Satriano) On the Birational Nature of Lifting,
    Adv. Math. 254 (2014), 118-137.
11. The Canonical Map and Horikawa Surfaces in Positive Characteristic,
    Int. Math. Res. Not. IMRN 2013, no. 2, 422-462.
12. (with Hiroyuki Ito) Elliptic K3 surfaces with pⁿ-torsion sections,
    J. Algebraic Geom. 22 (2013), 105-139.
13. (with Jun Li) Rational Curves on K3 Surfaces,
    Invent. Math. 188 (2012), no. 3, 713-727.
14. The p-torsion subgroup scheme of an elliptic curve,
    J. Number Theory 131 (2011), no. 11, 2064-2077.
15. (with Stefan Schröer) The Néron model over the Igusa curves,
    J. Number Theory 130 (2010), no. 10, 2157-2197.
16. (with Stavros Papadakis) Birational modifications of surfaces via unprojections,
    J. Algebra 323 (2010), no. 9, 2510-2519.
17. Fundamental Groups of Galois Closures of Generic Projections,
    Trans. Amer. Math. Soc. 362 (2010), no. 4, 2167-2188.
18. A note on non-reduced Picard schemes,
    J. Pure Appl. Algebra 213 (2009), no. 5, 737-741.
19. Non-classical Godeaux Surfaces,
    Math. Ann. 343 (2009), no. 3, 623-637.
20. (with Matthias Schütt) Unirational Surfaces on the Noether Line,
    Pacific J. Math. 239 (2009), no. 2, 343-356.
21. Algebraic Surfaces of General Type with Small c₁² in Positive Characteristic,
    Nagoya Math. J. 191 (2008), 111-134.
22. Uniruled surfaces of general type,
    Math. Z. 259 (2008), no. 4, 775-797.
23. Natural central extensions of groups,
    Groups Geom. Dyn. 2 (2008), no. 2, 245-261.
24. On Fundamental Groups of Galois Closures of Generic Projections,
    Bonner Mathematische Schriften Nr. 367 (2004).
25. Singular abelian covers of algebraic surfaces,
    manuscripta math. 112 (2003), no. 3, 375-390.

Survey Articles

1. Lectures on Supersingular K3 Surfaces and the Crystalline Torelli Theorem,
   K3 Surfaces and Their Moduli, Progress in Mathematics 315, Birkhäuser (2016), 171-235.
2. Algebraic Surfaces in Positive Characteristic,
   Birational Geometry, Rational Curves, and Arithmetic, 229-292, Springer (2013).

Book

1. (with François Cossec, Igor Dolgachev) Enriques Surfaces. Volume I,
   in preparation: 577 pages (as of February 2020).

Data bases

arxiv

mathscinet

google scholar

mathscinet reviews