Summer Semester 2025
- 250010 VO Topics in Algebraic Geometry 2
- Main text remains: Artin, Algebraic Geometry: Notes on a Course
- For sheaves and cohomology, the last few sections of Gathmann’s class notes are very helpful
- Some sections of Hartshorne’s Algebraic Geometry are also relevant
- Problem sheet. Problem sheet 2.
- First final examination at 4.45pm on 30 June
- Some notes on regular functions on varieties
- Examinable material
- 250003 UE STEOP
- 250032 SE Bachelorseminar
- 250046 SE Geometry and Topology: a learning seminar on Computational Topology
Winter Semester 2024
- 250010 VO Topics in Algebraic Geometry
- Main text: Artin, Algebraic Geometry: Notes on a Course
- Problem Sheet
- Examination revision at 8am on 27 January
- First examination at 8am on 29 January
- Second examination at 9.45am on 28 February
- Some notes on Grassmannians
- Some notes on Zariski tangent spaces and singular points in higher dimension
- Examinable material: Artin 2.1-2.5 and 2.6.1-2.6.2, 3.1-3.4, 3.5.1-3.5.12, and basics on Grassmannians, 4.1-4.4 and 4.5.1-4.5.11, 5.1.1-5.1.10, 5.2.1-5.2.3, and basics on Zariski tangent spaces and singular points in higher dimension
- Sample exam (note this only covers the first half of the course; the real exam will include material from the whole semester as listed above)
- 250012 PS Analysis und Lineare Algebra 1
- 250079 PS Algebra
- 250161 SE Seminar Geometry and Topology: a learning seminar on geometric structures on 3-dimensional manifolds
Summer Semester 2024
- 250057 VO Group theory
- 250058 PS Introductory Seminar on group theory
- 250032 SE Bachelorseminar
- 250046 SE Geometry and Topology: learning seminar about the Mapping Class Group
Winter Semester 2023
- 250029 VO Commutative Algebra and Algebraic Geometry
- Problem sheet 1 with extended hints to solutions
- Problem sheet 2 with extended hints to solutions
- Problem sheet 3 with extended hints to solutions
- A lecture on invariant theory for finite groups
- 250012 PS Analysis and Linear Algebra 1
- 250161 SE Seminar Geometry and Topology
Summer Semester 2023
- 250057 VO Group theory
- 250058 PS Introductory seminar on group theory
- 250116 VO Graded rings and projective geometry
- Miles Reid’s Worksheet on Graded Rings