Assignment: Summary of a research article

To successfully complete this assignment, you are supposed to write a summary of one of the articles listed below. Which one is your choice. If you don't like the list, you may suggest another article. It should not be one which you are already familiar with!

I don't want to specify how long the summary should be, but 500 words are too few and 5000 are too many.

The intended reader has your background in mathematics but has not read the article. Important things that she wants to know are:

As long as it is not too terrible, I will not grade your style of writing (this lies outside my competence), but the summary should be readable as a text. Write proper sentences and be nice to the reader.

The deadline is May 23. If your summary is almost, but not quite, satisfactory you will get a chance to fix it.

The articles: