Publications, Preprints and Other Writing

Publications

  1. 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/096/01655

    Published version | arXiv version

  2. 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

  3. 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

  4. 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/093/01572

    Published version | arXiv version

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

Preprints

  1. C. F. Doran and A. Thompson, Mirror symmetry for lattice polarized del Pezzo surfaces, preprint, September 2017.

    arXiv:1709.00856

    arXiv version

  2. C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson, Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces, preprint, January 2017.

    arXiv:1701.03279

    arXiv version

  3. V. Alexeev and A. Thompson, Modular compactification of moduli of K3 surfaces of degree 2, preprint, January 2016.

    Preprint version

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:

Other Writing

This page is maintained by Alan Thompson and was last updated on 23/11/17. Please email comments and corrections to amt69 (at) cam.ac.uk.