Introduction
Convexity
Maxcut
Algebra and Duality
Algebra Geometry Dictionary
Nullstellensatz
Groebner bases
Groebner bases 2
Elimination
Sum of squares
Lifting and moments
Positivstellensatz
Semialgebraic lifting
Sparse polynomials
Fourier-Motzkin
Fourier-Motzkin 2
Resultants