Algebraic Topology of PDE's
New points of view were recently introduced by A.Prástaro in the geometric theory of PDE's, by adopting some algebraic topological approaches. (Algebraic Topology of PDE's.) By this theory some fundamental problems (some Millennium Problems) in Mathematics are solved. For more details visit A.Prástaro's home page. Furthermore, such methods are also extended in the category of quantum (super) manifolds (in the sense introduced by A. Prástaro), by obtaining a new geometric theory of quantum (super) PDEs. This has allowed to get the unification of gravity with the other fundamental forces of the Nature. (Quantum supergravity.)
More recently, A. Prástaro, has solved the Goldbach's conjecture. This is an old standing conjecture in Number Theory. The Prástaro's approach recasts this problem in the framework of the Commutative Geometry and Algebraic Topology.
(Please visit the following links concerning recent papers about.)