- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Lecture notes in one file
- Notes on algebra

Comments and corrections are welcome.

- Problem Sheet 1 and solutions
- Problem Sheet 2 and solutions
- Problem Sheet 3 and solutions
- Problem Sheet 4 and solutions
- Problem Sheet 5 and solutions
- Problem Sheet 6 and solutions
- Problem Sheet 7 and solutions

The solutions to all problem sheets are now available in blackboard.

The total coursework mark (out of 20) can be calculated by the formula min(0.4*(test mark+coursework assignment mark)+(bonus mark for the cloverleaf problem),20).

- Affine transformations of conics
- Affine equivalence of triangles
- Examples of rational maps between affine varieties and animated images: circle, cuspidal cubic, nodal cubic, stereographic projection, figure 8 curve.
- Examples of calculating singular points
- Summary of the properties of projective varieties
- Examples of rational maps and morphisms between projective varieties
- Intersection multiplicities
- Cubics through 8 points, black and white version for printing
- Pascal's theorem
- The group law on an elliptic curve
- Examples of calculations on elliptic curves
- Calculations on elliptic curves done on 4 May, 2017
- Transforming the equation of an elliptic curve to Weierstraß form

The course also has its own dedicated youtube channel.

- Herwig Hauser's gallery of algebraic surfaces
- IMAGINARY, an exhibition of algebraic surfaces organised by Mathematisches Forschungsinstitut Oberwolfach.
- Free software for drawing algebraic curves and surfaces

Back to my teaching page.

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