Mumford's major work has been a tremendously successful multi-pronged attack on problems of the existence and structure of varieties of moduli, that is, varieties whose points parameterise isomorphism classes of some type of geometric object.
Mumford ng malalaking trabaho ay isang tremendously matagumpay na multi-patusok atake sa mga problema ng buhay at istraktura ng varieties ng moduli, na, varieties na ang mga puntos parameterise isomorphism klase ng ilang mga uri ng geometriko object.