We developed an efficient and accurate approach to solve the Bethe-Salpeter Equation that exploits the localization of atomic Wannier functions to solve for excitons in large systems containing thousands of atoms. Using this newly developed method, we discovered unique localizations of Wannier and charge-transfer excitons in WS₂/WSe₂. The figure demonstrates the distinct spatial distribution of the three lowest bright excitons in WSe₂. More technical details at: npj 2d materials&applications and Nature Physics.