Institute of Algebraic Geometry, Leibniz University Hannover

Emmy Noether Junior Research Group: "Smoothings from log resolutions and applications"

Members

• Tim Gräfnitz — Principal Investigator
• Alejandro Ovalle — PhD Student

Seminar

• 9.6. Matej Filip (Ljubljana)
• 23.6. Simon Felten (Oxford)
• 7.7. Helge Ruddat (Stavanger)

• 2026– Emmy Noether Research Group Leader, Leibniz University Hannover
• 2023–2026 Postdoctoral Researcher, Leibniz University Hannover
• 2022–2023 Postdoctoral Researcher, University of Cambridge
• 2021–2022 Postdoctoral Researcher, Ruhr University Bochum
• 2017–2021 PhD in Mathematics, University of Hamburg

Research Interests

• Algebraic Geometry
• Logarithmic Geometry
• Tropical Geometry
• Enumerative Geometry
• Mirror Symmetry
• Birational Geometry

Publications and Preprints

• Relations between 2-marked log Gromov-Witten invariants and the tropical evaluation curve
  In preparation.
• Smoothings from zero mutable Laurent polynomials via log resolutions and divisorial extractions
  Preprint, 2025.
  arXiv:2503.18661
• Singular Log Structures and Log Crepant Log Resolutions I
  With Alessio Corti and Helge Ruddat. Preprint, 2025.
  arXiv:2503.11610
• Enumerative geometry of quantum periods
  With Helge Ruddat, Eric Zaslow and Benjamin Zhou. Preprint, 2025.
  arXiv:2502.19408
• Gromov-Witten invariants and mirror symmetry for non-Fano varieties using scattering diagrams
  With Per Berglund and Michael Lathwood. Preprint, 2024.
  arXiv:2404.16782
• The dense region in scattering diagrams
  With Patrick Luo. Bulletin of the Australian Mathematical Society 109 (2025), 1–13.
  arXiv:2312.13990
• Counting (tropical) curves via scattering.sage
  Preprint, 2022.
  arXiv:2210.10455
• The proper Landau-Ginzburg potential is the open mirror map
  With Helge Ruddat and Eric Zaslow. Advances in Mathematics 447 (2024), 109639.
  arXiv:2204.12249
• Theta functions, broken lines and 2-marked log Gromov-Witten invariants
  Manuscripta Mathematica 176 (2025), 41–76.
  arXiv:2204.12257
• Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs
  Journal of Algebraic Geometry 31 (2022), 687–749.
  arXiv:2005.14018

Theses

• Doctoral thesis
  Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs, 2020.
• Master thesis
  Tropicalization of the lines on the Dwork pencil of quintic threefolds, 2017.

• scattering.sage
  Computing scattering diagrams and wall structures in the Gross–Siebert program.
• mutation.sage
  Computing mutation graphs of zero mutable Laurent polynomials.
• tomjerry.sage
  Computing dual pairs of zero mutable Laurent polynomials on rectangular triangles.

Email:
graefnitz@math.uni-hannover.de
Address:
Institute for Algebraic Geometry
Leibniz University Hannover
Welfengarten 1, 30167 Hannover, Germany
Room d401