1. Click here for the MathSciNet reviews of my papers.
  2. Click here for the Zentralblatt reviews of my papers.

Journal papers

  1. The average rank of elliptic n-folds (preprint version)
    To appear in Indiana University Mathematics Journal
  2. On the classification of degree 1 elliptc threefolds with constant j-invariant (preprint version)
    To appear in Illinois Journal of Math.
  3. A different method to calculate the rank of an elliptic threefold (preprint version)
    Rocky Mountain Journal of Mathematics 42:643-655 (2012)
  4. (with K. Hulek)
    Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces (preprint version)
    Annales de l'Institut Fourier 61:1133-1179
  5. (with Y .Goto, N. Yui)
    Zeta-functions of certain K3 fibered Calabi--Yau threefolds (preprint version)
    International Journal of Mathematics 22:67-129 (2011)
  6. The zeta function of monomial deformations of Fermat hypersurfaces (preprint version)
    Algebra & Number Theory 1:421-450 (2007)
  7. (with K. Hulek)
    The L-series of a cubic fourfold (preprint version)
    Manuscripta Math. 124: 391-407 (2007)
  8. Higher Noether-Lefschetz loci of elliptic surfaces (preprint version)
    J. Differential Geom. 76:293-316 (2007)
  9. Elliptic K3 surfaces with geometric Mordell-Weil rank 15 (preprint version)
    Canad. Math. Bull. 50:215-226 (2007)
  10. Classification of all Jacobian elliptic fibrations on certain K3 surfaces (preprint version)
    J. Math. Soc. Japan Vol. 58: 665-680 (2006)
  11. The p-part of Tate-Shafarevich groups can be arbitrarily large (preprint version)
    J. Théor. Nombres Bordeaux 17:787-800 (2005)
  12. (with M. Artebani, M. Pacini)
    A new model for the theta divisor of the cubic threefold (preprint version)
    Le Matematiche 48:210-236 (2003)
  13. (with O. Tommasi)
    Locally trivial families of hyperelliptic curves: the geometry of the Weierstraß scheme (preprint version)
    Indag. Math., New Ser. 16:215-223 (2005)
  14. Explicit sections on Kuwata's elliptic surfaces (preprint version)
    Comment. Math. Univ. St. Pauli 54:69-86 (2005)
  15. Extremal elliptic surfaces & Infinitesimal Torelli (preprint version)
    Michigan Mathematical Journal 52:141-160 (2004).
  16. (with E.F. Schaefer)
    Selmer groups of elliptic curves that can be arbitrarily large
    Journal of Number Theory 99:148-163 (2003)

Preprints

  1. (with Bas Heijne)
    A structure theorem for fibrations on Delsarte surfaces (preprint version)
  2. Cuspidal plane curves, syzygies and a bound on the MW-rank (preprint version)

Chapters in books and articles in proceedings

  1. (with Stefan Keil)
    On the density of Abelian Surfaces with Tate-Shafarevich group of order five times a square
    To appear in: Algorithmic number theory, 10th international symposium, ANTS-X Proceedings, 2012.
  2. (with Jose Ignacio Cogolludo-Agustin)
    Mordell-Weil groups and Zariski triples (preprint version)
    To appear in: Geometry and arithmetic. Proceedings Schiermonnikoog 2010. (C. Faber, G. Farkas, R. de Jong eds.)
  3. Point counting on singular hypersurfaces. Revised version (deformation method is completly revised and some minor changes)
    In: Algorithmic number theory. 8th international symposium, ANTS-VIII Proceedings, Springer Verlag 2008 (A.J. van der Poorten and A. Stein eds.). LNCS 5011:327-341 (2008).
  4. (with K. Hulek, M. Schütt)
    Modularity of Calabi-Yau varieties (preprint version)
    In: Global Aspects of Complex Geometry, Springer Verlag 2006 (F. Catanese, H. Esnault, A. Huckleberry, K. Hulek and T. Peternell, eds.), 271-309

Theses

  1. Arithmetic and moduli of elliptic surfaces
    PhD thesis. University of Groningen, 2005
  2. Elliptic curves with large Selmer groups
    Master's thesis, University of Groningen, 2001