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On the exam you will be asked 2-3 topics from the list 'Presentation topics', on the right.

An overview of the topics covered in the course this fall can be found in the link to the right.

This course will give an introduction to several topics in algebraic geometry, with emphasis on the theory of curves. Some possible topics include

• Curves (Hartshorne chapter IV)
• Hodge theory (Voisin's books)
• The Torelli theorem
• Moduli spaces of curves

To do this, we will also go through parts of Hartshorne Chapter III (cohomology). For the Hodge theory part, I will go through the necessary background on differential forms and De Rham cohomology.