Publications, Preprints and Other Writing
Publications
V. Alexeev, P. Engel, and A. Thompson, Stable pair compactification of moduli of K3 surfaces of degree 2. Published online by J. Reine Angew. Math., April 2023.
dx.doi.org/10.1515/crelle-2023-0011
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Preprints
C. F. Doran and A. Thompson, The mirror Clemens-Schmid sequence, preprint, September 2021.
arXiv:2109.04849
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
I graduated with a D.Phil. in Mathematics from the University of Oxford on 26th November 2011. A final copy of my thesis may be found here:
- D.Phil. Thesis: Models for threefolds fibred by K3 surfaces of degree two
This page is maintained by Alan Thompson and was last updated on 20/04/23. Please email comments and corrections to verily(at)alanthompson.rocks.