I am a member of the Homeopathy Research Institute which has recently been set up with a view to doing quality research and trials which will be published in medical peer-reviewed journals.
The nature of homeopathic treatment is very different to conventional medicine and so double blind, placebo controlled trials do not represent how a homeopath would normally treat a patient. There is work going on in British universities to look at this problem and develop ways of designing trials which will take into account the personal nature of the consultation and choice of remedies.
In spite of this, there is a huge amount of good quality, published research which shows that homeopathy is an effective treatment for a variety of conditions. This paper is a review of positive research and surveys which was compiled by the European Network of Homeopathic Researchers. It contains brief summaries of the research articles, together with full references.