Gebhard Martin

Mathematisches Institut
Universität Bonn
Endenicher Allee 60
53115 Bonn

Tel.: +49 (0)228 73 62267
Mail: gmartin
Raum: 1.041

Teaching

Summer 2026:

• Algebraic Geometry II

Winter 2025/26:

• Algebraic Geometry I

Summer 2025:

• Algebra I

Winter 2024/25:

• Einführung in die Algebra

Summer 2024:

• Advanced Topics in Algebraic Geometry: Picard Schemes

Winter 2023/24:

• Selected Topics in Algebraic Geometry: Algebraic Surfaces
• Graduate Seminar: Cubic Hypersurfaces

Summer 2023:

• Algebraic Geometry 2

Winter 2022/23:

• Algebraic Geometry 1

Summer 2022:

• Seminar: Gitter und Kugelpackungen

Winter 2021/22:

• Hauptseminar: Klassische Algebraische Geometrie
• Preprint Seminar

Summer 2021:

• Finite Group Schemes
• Algebraic Geometry 2 (Assistant)

Winter 2020/21:

• Algebraic Geometry 1 (Assistant)
• Grundzüge der Mathematik 1 (Assistant)

Summer 2019:

• Linear Algebra 2 (Assistant)

Winter 2018/19:

• Linear Algebra 1 (Assistant)

Summer 2018:

• Algebra 1 (Assistant)

Articles and Preprints

1. Enriques' characterization of Abelian surfaces in positive characteristic (with J. Baudin), 12 pages
2. The Cone Conjecture for Enriques Surfaces in any Characteristic (with S. Brandhorst, T. Schnieders), 11 pages
3. On symmetries of hyperbolic lattices of large rank (with T. Grabbel, G. Mezzedimi, M. Raitz von Frentz, and P. J. Schmidt), 12 pages
4. On surfaces with smooth projective models over Z (with F. Bernasconi and Z. Patakfalvi), 12 pages
5. The Enriques surface of minimal entropy (with G. Mezzedimi and D. Veniani), 16 pages
6. Classification of non-F-split del Pezzo surfaces of degree 1 (with R. Wagener),
   Archiv der Mathematik , Volume 125, pp. 283–290, 2025
7. Enriques surfaces of zero entropy (with G. Mezzedimi and D. Veniani), 22 pages
8. Nodal Enriques surfaces are Reye congruences (with G. Mezzedimi and D. Veniani),
   Journal für die reine und angewandte Mathematik (Crelle) , Volume 808 (2024), 16 pages
9. Bounding geometrically integral del Pezzo surfaces (with F. Bernasconi),
   Forum of Mathematics, Sigma, Volume 12 (2024), 24 pages
10. Automorphisms of del Pezzo surfaces in odd characteristic (with I. Dolgachev),
    Journal of the London Mathematical Society , Volume 109, Number 5 (2024), 40 pages
11. Automorphisms of del Pezzo surfaces in characteristic 2 (with I. Dolgachev),
    Algebra & Number Theory , Volume 19, no. 4, pp. 715–761
12. RDP del Pezzo surfaces with global vector fields in odd characteristic (with C. Stadlmayr),
    Algebraic Geometry Volume 11, issue 3 (May 2024), 346--385
13. Enriques surfaces of non-degeneracy 3 (with G. Mezzedimi and D. Veniani),
    Journal of the European Mathematical Society , (2024), published online first
14. On extra-special Enriques surfaces (with G. Mezzedimi and D. Veniani),
    Mathematische Annalen Volume 387, Number 1-2 (2023), 133--143
15. Isolated quotient singularities in positive characteristic (with C. Liedtke and Y. Matsumoto),
    Astérisque , Volume 461, (2025), 162 pages
16. Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics (with I. Dolgachev),
    Advances in Mathematics Volume 400 (2022), 108274
17. Automorphism schemes of (quasi-)bielliptic surfaces ,
    Épijournal de Géométrie Algébrique , Volume 6 (2022), Article no. 9
18. Weak del Pezzo surfaces with global vector fields (with C. Stadlmayr),
    Geometry & Topology Number 28 (2024), pp. 3565–3641
19. Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces ,
    Algebra & Number Theory Volume 16, Number 7 (2022), pp. 1655–-1704.
20. Automorphisms of unnodal Enriques surfaces, 22 pages
21. Numerically trivial automorphisms of Enriques surfaces in characteristic 2 (with I. Dolgachev),
    J. Math. Soc. Japan Volume 71, Number 4 (2019), 1181--1200.
22. Classification of Enriques surfaces with finite automorphism group in characteristic 2 (with T. Katsura and S. Kondo),
    Algebraic Geometry Volume 7, Issue 4 (2020), 390--459.
23. Enriques surfaces with finite automorphism group in positive characteristic,
    Algebraic Geometry Volume 6, Issue 5 (2019), 592--649.