Publications and Preprints

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  1. Unirational Surfaces on the Noether Line (with C. Liedtke)
    Submitted
    [Article in Mathematics ArXiv]

  2. K3 surfaces of Picard rank 20 over Q
    Submitted
    [Article in Mathematics ArXiv]

  3. On the uniqueness of K3 surfaces with maximal singular fibre (with A. Schweizer)
    Submitted
    [Article in Mathematics ArXiv]

  4. Generalised Kummer constructions and Weil restrictions (with S. Cynk)
    Submitted
    [Article in Mathematics ArXiv]

  5. Hecke eigenforms with rational coefficients and complex multiplication
    Submitted
    [Article in Mathematics ArXiv]

  6. On Davenport-Stothers inequalities and elliptic surfaces in positive characteristic (with A. Schweizer)
    To appear in: Oxford Quarterly Journal of Mathematics
    [Article in Mathematics ArXiv]

  7. Arithmetic of a singular K3 surface
    To appear in: Michigan Mathematical Journal
    [Article in Mathematics ArXiv]

  8. Fields of definition of singular K3 surfaces
    Communications in Number Theory and Physics 1, 2 (2007), 307-321
    [Article in Mathematics ArXiv]

  9. An interesting elliptic surface over an elliptic curve (with T. Shioda)
    Proc. Jap. Acad. 83, 3 (2007), 40-45.
    [Article in Mathematics ArXiv]

  10. Elliptic fibrations of some extremal semi-stable K3 surfaces
    Rocky Mountain Journal of Mathematics 37, 2 (2007), 609-652.
    [Article in Mathematics ArXiv]

  11. The maximal singular fibres of elliptic K3 surfaces
    Archiv der Mathematik 79, 4 (2006), 309-319.
    [Article in Mathematics ArXiv]

  12. Modularity of Calabi-Yau varieties (with K. Hulek and R. Kloosterman)
    In: Catanese et al. (eds.) - Global Aspects of Complex Geometry, Springer (2006).
    [Article in Mathematics ArXiv]

  13. Arithmetic of the [19,1,1,1,1,1] fibration (with J. Top)
    Commentarii Mathematici Universitatis Sancti Pauli 55, 1 (2006), 9-16.
    [Article in Mathematics ArXiv]

  14. On the modularity of three Calabi-Yau threefolds with bad reduction at 11
    Canad. Math. Bull. 49 (2), 2006, 296-312.
    [Article in Mathematics ArXiv]

  15. New examples of modular rigid Calabi-Yau threefolds
    Collect. Math. 55, 2 (2004), 219-228.
    [Article in Mathematics ArXiv]

    Dissertation