Georg Oberdieck

Welcome to my homepage!

I am a Bonn Junior Fellow at the Hausdorff Center for Mathematics.

In the Fall 2018 I teach Algebraic Geometry I.


Research Interests:

Algebraic Geometry, in particular Gromov-Witten theory, Donaldson-Thomas theory and K3 surfaces.
Modular and Jacobi forms.


Contact:

Email:        georgo@math.uni-bonn.de
Phone:        +49 228 736 2271
Office:        Endenicher Allee 60, 1.028


Address:

Mathematisches Institut
Universität Bonn
Endenicher Allee 60
D-53115 Bonn


Papers:

  1. Gromov-Witten invariants of the Hilbert scheme of points of a K3 surface
    Geometry & Topology, 22 (2018), no. 1, 323-437.
  2. Curve counting on K3 x E, the Igusa cusp form chi_10, and descendent integration
    with Rahul Pandharipande, in K3 surfaces and their moduli, Birkhauser Prog. in Math. 315, 245-278, 2014.
  3. Curve counting on abelian surfaces and threefolds
    with Jim Bryan, Rahul Pandharipande, and Qizheng Yin, Algebraic Geometry, 5 (2018), no. 4, 398-463.
  4. Gromov-Witten theory of K3 x P1 and quasi-Jacobi forms
    International Mathematics Research Notices, to appear, 2016.
  5. On reduced stable pair invariants
    Mathematische Zeitschrift, 289 (2018), no. 1-2, 323-353.
  6. Curve counting on elliptic Calabi-Yau threefolds via derived categories
    with Junliang Shen, Journal of the European Mathematical Society, to appear, 2016.
  7. Holomorphic anomaly equations and the Igusa cusp form conjecture
    with Aaron Pixton, Inventiones mathematicae, 213 (2018), no. 2, 507-587.
  8. Reduced Donaldson-Thomas invariants and the ring of dual numbers
    with Junliang Shen, Proceedings of the London Mathematical Society, to appear, 2016.
  9. Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations
    with Aaron Pixton, Geometry & Topology, to appear, 2017.

Submitted papers and preprints:

  1. A Serre derivative for even weight Jacobi forms, 2012.
  2. Rational curves in the Fano varieties of cubic 4-folds and Gromov-Witten invariants
    with Junliang Shen and Qizheng Yin, 2018.
  3. Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions
    with Dulip Piyaratne and Yukinobu Toda, 2018.
  4. CHL Calabi-Yau threefolds: Curve counting, Mathieu moonshine and Siegel modular forms
    with Jim Bryan, and containing a joint Appendix with Sheldon Katz, 2018.

Files:

  1. A program for calculating the number of polarized isogenies of abelian varieties. Used in Curve counting on abelian surfaces and threefolds.
  2. The code used for the calculations in the Appendix of Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions.
  3. PhD Thesis

Links:

  1. Seminar: Beyond GIT (Fall 2018)
  2. Seminar Algebraic Geometry
  3. Complex Geometry Group
  4. MSRI Modul and Representation Theory seminar
  5. Motivic PT Seminar Fall 2014
  6. Co-authors: Jim Bryan, Sheldon Katz, Rahul Pandharipande, Aaron Pixton, Dulip Piyaratne, Junliang Shen, Yukinobu Toda, Qizheng Yin,

Photos