Homeopathic remedies work on the same principle as venom antidotes or allergy shots on a more highly processed level. The principle is that symptoms caused by or similar to those caused by a naturally occurring element--for example, Lachesis snake venom or belladonna--can be reversed by administration of a highly refined form of antidote made of the venom or herb etc. Thus it is as much a "nothing" as any snake bite antidote or allergy shot--bear in mind that these "nothings" (with which most are extremely familiar) save lives and improve lives.
Interesting research on homeopathy would entail investigation of its cellular and molecular effects; its molecular structure; its description through quantum physics.
One caution: please do not follow the advice given above and treat homeopathic remedies callously. They can cause sometimes severe adverse effects if misused.