I am a mathematician. My current research interests lie in algebraic number theory and arithmetic algebraic geometry. However, most of my edits so far have had relatively little to do with my research specialities.
I myself would like to be able to use wikipedia as a first reference for mathematics. At the moment this is sometimes possible and sometimes not: it depends very much on the article. But the average worth of a wikipedia math article is steadily increasing over time. Less than two years ago I routinely warned students not to take wikipedia math articles with any degree of seriousness. Now I can and do tell them to at least try wikipedia first. This improvement is exciting and has motivated me to get involved with the project.
Here is a list of articles that I have mostly or completely rewritten. Of course I do not claim they are beyond further improvement: suggestions are most welcome.
Here is a list of articles to which I have contributed substantially: