## Georg OberdieckWelcome to my homepage! I am a Bonn Junior Fellow at the Hausdorff Center for Mathematics. In Spring 19 I teach Algebraic Geometry II. |

**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 73-62271

Office: Endenicher Allee 60, 1.028

**Address**:

Mathematisches Institut

Universität Bonn

Endenicher Allee 60

D-53115 Bonn

**Papers:**

- Gromov-Witten invariants of the Hilbert scheme of points of a K3 surface

*Geometry & Topology*, 22 (2018), no. 1, 323-437. - 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. - Curve counting on abelian surfaces and threefolds

with Jim Bryan, Rahul Pandharipande, and Qizheng Yin,*Algebraic Geometry*, 5 (2018), no. 4, 398-463. - Gromov-Witten theory of K3 x P1 and quasi-Jacobi forms

*International Mathematics Research Notices*, to appear, 2016. - On reduced stable pair invariants

*Mathematische Zeitschrift*, 289 (2018), no. 1-2, 323-353. - Curve counting on elliptic Calabi-Yau threefolds via derived categories

with Junliang Shen,*Journal of the European Mathematical Society*, to appear, 2016. - Holomorphic anomaly equations and the Igusa cusp form conjecture

with Aaron Pixton,*Inventiones mathematicae*, 213 (2018), no. 2, 507-587. - Reduced Donaldson-Thomas invariants and the ring of dual numbers

with Junliang Shen,*Proceedings of the London Mathematical Society*, to appear, 2016. - Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations

with Aaron Pixton,*Geometry & Topology*, to appear, 2017.

**Submitted papers and preprints:**

- A Serre derivative for even weight Jacobi forms, 2012.
- Rational curves in the Fano varieties of cubic 4-folds and Gromov-Witten invariants

with Junliang Shen and Qizheng Yin, 2018. - Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions

with Dulip Piyaratne and Yukinobu Toda, 2018. - CHL Calabi-Yau threefolds: Curve counting, Mathieu moonshine and Siegel modular forms

with Jim Bryan, and containing a joint Appendix with Sheldon Katz, 2018. - Elliptic curves in Hyperkähler varieties

with Denis Nesterov, 2019. - Automorphisms of Hilbert schemes of points on surfaces

with Pieter Belmans, Jorgen Vold Rennemo, 2019. - A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface, 2019.

**Files:**

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

**Conferences:**

- Perverse Sheaves in Enumerative Geometry, February 10-14, 2019.
- Number Theoretic Methods in Quantum Physics, July 15 - 19, 2019.

**Links:**

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