The Large Hadron Collider (LHC) at CERN is the highest energy collider ever built. The LHC therefore probes smaller distances and larger energies than ever accessible before. The top quark, discovered in 1995 at the Fermilab proton-antiproton collider Tevatron, is the most recent member of the known families of quarks. Although this particle appears to have no sub-structure and to be pointlike, its mass is of the order of a gold atom. Therefore it is believed to be an excellent candidate to be a portal to new physics beyond the Standard Model. The LHC is a top quark factory providing high-precision access to top quark physics. In this presentation I will present high precistion measurements of top quark properties and explore how they can be used to search for exotic physics. I will put particular emphasis on searches for Dark Matter which represents one of the main unresolved questions in particle physics today.