String models and M-theory involve both algebraic and symplectic enumerative geometry. Also in adelic TGD enumerative algebraic geometry emerges. This article gives a brief summary about the basic ideas involved and suggests some applications to TGD.
See the article About enumerative algebraic geometry in TGD framework or the chapter Does M8-H duality reduce classical TGD to octonionic algebraic geometry? of "Physics as generalized number theory".
For a summary of earlier postings see Latest progress in TGD.