6 problems

Guo–Miller rational strategy conjecture. Every lattice game has a rational strategy.

Affine stratification conjecture. Every squarefree lattice game possesses an affine stratification.

Rational-strategy conjecture. Every squarefree lattice game possesses a rational strategy.

Affine stratification conjecture. Every squarefree lattice game, under normal play, ordinary misère play, or the more general misère play allowed by the axioms of lattice games, po…

Let $W$ be the set of winning positions of a lattice game. An affine stratification of $W$ is an expression of $W$ as a finite union of translates of affine semigroups. The affine…

Let a lattice game have winning positions $W$ and let … be their generating function. A rational strategy is such a generating function expressible as a ratio of polynomials with i…