Annals of Mathematics publishes article by Jonas Bergström.

This article is about moduli spaces of curves, which are spaces that 
have the property that every type of curve corresponds to precisely 
one point in one of these spaces. These spaces were created in the 
1960s and have been studied intensively since then, but at the same 
time much remains unknown. We have proven new results about the 
cohomology of all these spaces, which gives new information about 
their geometric structure. 

Read the article here.