Algebraic Topology by Burt Totaro.

Homotopy groups.

Interesting scientific or quantitative thoughts or ideas!

Algebraic Topology by Burt Totaro.

Homotopy groups.

Algebraic Topology by Burt Totaro.

Introduction.

Connectedness and intersection numbers.

Arithmetic Geometry by Jordan S. Ellenberg.

Some Problems in Classical and Contemporary Arithmetic Geometry.

From Fermat to Birch-Swinnerton.

Outline of Fermat’s last theorem.

Rational points on Curves.

Arithmetic Geometry by Jordan S. Ellenberg.

How many points does a circle have?

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Schemes.

Example: Spec Z, the number line.

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Coordinate rings.

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Adjectives and qualities.

Arithmetic Geometry by Jordan S. Ellenberg.

Geometry without geometry.

Algebraic Geometry by Janos Kollar.

Modulii Spaces.

Modulii of elliptic curves.

Modulii principle.

Effective nullstellensatz.

So, What is algebraic geometry?

Arithmetic Geometry by Jordan S. Ellenberg.

Diophantine problems, alone and in teams.

Algebraic Geometry by Janos Kollar.

Modulii Spaces.