Publications, Preprints and Other Writing

1. C. F. Doran and A. Thompson, The mirror Clemens-Schmid sequence, Eur. J. Math. 10:63 (2024).

   dx.doi.org/10.1007/s40879-024-00779-5

   Published version | arXiv version

2. V. Alexeev, P. Engel, and A. Thompson, Stable pair compactification of moduli of K3 surfaces of degree 2, J. Reine Angew. Math. 799 (2023), 1-56.

   dx.doi.org/10.1515/crelle-2023-0011

   Published version | arXiv version

3. V. Alexeev and A. Thompson, ADE surfaces and their moduli, J. Algebraic Geom. 30 (2021), no. 2, 331-405.

   dx.doi.org/10.1090/jag/762

   Published version | arXiv version

4. R. Kooistra and A. Thompson, Threefolds fibred by mirror sextic double planes, Canad. J. Math. 73 (2021), no. 5, 1305-1346.

   dx.doi.org/10.4153/S0008414X20000498

   Published version | arXiv version

5. A. Harder and A. Thompson, Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations, Trans. Amer. Math. Soc. 373 (2020), no. 3, 2071-2104.

   dx.doi.org/10.1090/tran/7960

   Published version | arXiv version

6. C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson, Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces, Math. Z. 294 (2020), no. 1-2, 783-815.

   dx.doi.org/10.1007/s00209-019-02279-9

   Published version | arXiv version

7. C. F. Doran and A. Thompson, Mirror symmetry for lattice polarized del Pezzo surfaces, Commun. Number Theory Phys. 12 (2018), no. 3, 543-580.

   dx.doi.org/10.4310/CNTP.2018.v12.n3.a3

   Published version | arXiv version

8. C. F. Doran, A. Harder, and A. Thompson, Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds, in String-Math 2015 (S. Li, B. Lian, W. Song, and S.-T. Yau, eds.), Proc. Symp. Pure Math., vol. 96, American Mathematical Society, 2017, pp. 93-131.

   dx.doi.org/10.1090/pspum/096

   Published version | arXiv version

9. C. F. Doran, A. Harder, and A. Thompson, Hodge numbers from Picard-Fuchs equations, SIGMA 13 (2017), 045, 23 pages.

   dx.doi.org/10.3842/SIGMA.2017.045

   Published version | arXiv version

10. C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson, Calabi-Yau threefolds fibred by mirror quartic K3 surfaces, Adv. Math. 298 (2016), 369-392.

    dx.doi.org/10.1016/j.aim.2016.03.045

    Published version | arXiv version

11. C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson, Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves, in String-Math 2014 (V. Bouchard, C. Doran, S. Méndez-Diez, and C. Quigley, eds.), Proc. Symp. Pure Math., vol. 93, American Mathematical Society, 2016, pp. 263-287.

    dx.doi.org/10.1090/pspum/093

    Published version | arXiv version

12. A. Clingher, C. F. Doran, J. Lewis, A. Y. Novoseltsev, and A. Thompson, The 14th case VHS via K3 fibrations, in Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles and Arithmetic (M. Kerr and G. Pearlstein, eds.), London Math. Soc. Lecture Note Ser., vol. 427, Cambridge University Press, 2016, pp. 165-227.

    dx.doi.org/10.1017/CBO9781316387887.008

    Published version | arXiv version

13. C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson, Families of lattice polarized K3 surfaces with monodromy, Int. Math. Res. Notices (2015), no. 23, 12265-12318.

    dx.doi.org/10.1093/imrn/rnv071

    Published version | arXiv version

14. A. Harder and A. Thompson, The geometry and moduli of K3 surfaces, in Calabi-Yau Varieties: Arithmetic, Geometry and Physics (R. Laza, M. Schütt and N. Yui, eds.), Fields Inst. Monogr., vol. 34, Springer, 2015, pp. 3-43.

    dx.doi.org/10.1007/978-1-4939-2830-9_1

    Published version | arXiv version

15. S. A. Filippini, H. Ruddat, and A. Thompson, An introduction to Hodge structures, in Calabi-Yau Varieties: Arithmetic, Geometry and Physics (R. Laza, M. Schütt and N. Yui, eds.), Fields Inst. Monogr., vol. 34, Springer, 2015, pp. 83-130.

    dx.doi.org/10.1007/978-1-4939-2830-9_4

    Published version | arXiv version

16. A. Thompson, Degenerations of K3 surfaces of degree two, Trans. Amer. Math. Soc. 366 (2014), no. 1, 219-243.

    dx.doi.org/10.1090/S0002-9947-2013-05759-5

    Published version | arXiv version

17. A. Thompson, Explicit models for threefolds fibred by K3 surfaces of degree two, Canad. J. Math. 65 (2013), no. 4, 905-926.

    dx.doi.org/10.4153/CJM-2012-037-2

    Published version | arXiv version

18. C. F. Doran, J. Prebble, and A. Thompson, Normal forms and Tyurin degenerations of K3 surfaces polarised by a rank 18 lattice, preprint, November 2023. Accepted for publication in Mathematische Nachrichten.

    arXiv:2311.10394

    arXiv version

19. I. Cheltsov and A. Thompson, K-moduli of Fano threefolds in family 3.10, preprint, September 2023. Accepted for publication in Moduli.

    arXiv:2309.12524

    arXiv version

20. L. Giovenzana and A. Thompson, Degenerations and Fibrations of K3 Surfaces: Lattice Polarisations and Mirror Symmetry, preprint, May 2024.

    arXiv:2405.12009

    arXiv version

A note for those seeking the 2016 manuscript Modular compactification of moduli of K3 surfaces of degree 2, by V. Alexeev and A. Thompson. The main results of this manuscript have subsequently appeared in the papers ADE surfaces and their moduli and Stable pair compactification of moduli of K3 surfaces of degree 2, both of which may be found above; this manuscript has therefore been taken down.

• D.Phil. Thesis: Models for threefolds fibred by K3 surfaces of degree two