Daniel Krashen - Research

Publications

  1. Applications of patching to quadratic forms and central simple algebras, with D. Harbater and J. Hartmann.

    Inventiones Mathematica, SpringerLink Date April 21, 2009.

  2. Corestrictions of algebras and splitting fields,

    To appear in Transactions of the American Mathematical Society.

  3. Zero cycles on homogeneous varieties,

    To appear in Advances in Mathematics.

  4. Pointed trees of projective spaces (with Linda Chen and Angela Gibney),

    Journal of Algebraic GeometryVolume 18, Number 3, July 2009.

  5. Index reduction for Brauer classes via stable sheaves (with Max Lieblich, appendix by Bhargav Bhatt).

    International Math. Research Notices, 2008: rnn010-31.

  6. Birational maps between generalized Severi-Brauer varieties,

    To appear in the Journal of Pure and Applied Algebra.

  7. Motives of unitary and orthogonal homogeneous varieties,

    Journal of Algebra, Vol 318/1 pp 135-139, 2007.

  8. Severi-Brauer Varieties and Symmetric Powers (with David Saltman),

    Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, Vol. 132, Springer-Verlag 2004 (refereed).

  9. Severi-Brauer varieties of semidirect product algebras,

    Documenta Mathematica, vol 8 (2003), pp 527-546.

    10. Preprints

  10. Relative Brauer groups of genus $1$ curves (with Mirela Ciperiani),

    submitted for publication

  11. Appendix to Period and index in the Brauer group of an arithmetic surface (by Max Lieblich).

Lecture Notes

Other Manuscripts