Nash's equilibrium is a celebrated result in mathematics and economics. It is one of the foundational results in game theory. The aim of this project is to explore the relationship between game theory and algebraic geometry.

# Combinatorics

**Combinatorics** is concerned with construction and analysis of discrete or finite structures. It has connections with many fields of pure mathematics such as algebra, probability, topology and geometry, and has applications in areas including optimization, computer science and statistics, to mention a few. Combinatorics researchers at UQ have special interests in design theory, algebraic combinatorics, graph theory, combinatorial geometry and combinatorial group theory.