Gebhard Martin

Mathematisches Institut
Universität Bonn
Endenicher Allee 60
53115 Bonn

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

Teaching

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 (Lecturer)
• 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

• Nodal Enriques surfaces are Reye congruences (with G. Mezzedimi and D. Veniani), 16 pages
• Bounding geometrically integral del Pezzo surfaces (with F. Bernasconi), 26 pages
• Automorphisms of del Pezzo surfaces in odd characteristic (with I. Dolgachev), 35 pages
• Automorphisms of del Pezzo surfaces in characteristic 2 (with I. Dolgachev), 44 pages
• RDP del Pezzo surfaces with global vector fields in odd characteristic (with C. Stadlmayr),
  Accepted for publication in Algebraic Geometry , 33 pages
• Enriques surfaces of non-degeneracy 3 (with G. Mezzedimi and D. Veniani), 24 pages
• On extra-special Enriques surfaces (with G. Mezzedimi and D. Veniani),
  Accepted for publication in Mathematische Annalen , 9 pages
• Torsors over the Rational Double Points in Characteristic p (with C. Liedtke and Y. Matsumoto), 76 pages
• Linearly Reductive Quotient Singularities (with C. Liedtke and Y. Matsumoto), 51 pages
• Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics (with I. Dolgachev),
  Advances in Mathematics Volume 400, 14 May 2022, 108274
• Automorphism schemes of (quasi-)bielliptic surfaces ,
  Épijournal de Géométrie Algébrique , Volume 6 (2022), Article no. 9
• Weak del Pezzo surfaces with global vector fields (with C. Stadlmayr),
  Accepted for publication in Geometry & Topology , 50 pages
• Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces ,
  Accepted for publication in Algebra & Number Theory , 44 pages
• Automorphisms of unnodal Enriques surfaces, 22 pages
• Numerically trivial automorphisms of Enriques surfaces in characteristic 2 (with I. Dolgachev),
  J. Math. Soc. Japan Volume 71, Number 4 (2019), 1181--1200.
• Classification of Enriques surfaces with finite automorphism group in characteristic 2 (with T. Katsura and S. Kondo),
  Algebraic Geometry Volume 7, Issue 4 (July 2020), 390--459.
• Enriques surfaces with finite automorphism group in positive characteristic,
  Algebraic Geometry Volume 6, Issue 5 (September 2019), 592--649.