List of recently solved mathematical problems I'm looking for a news site for Mathematics which particularly covers recently solved mathematical problems together with the unsolved ones. Is there a good site MO users can suggest me or is my only bet just to google for them?
 A: As a counter-point to my somewhat flippant previous answer (which only really applies if one is a specialist in the field), if you are looking at a field in which you are not as much a specialist in, I suggest reading the articles from the Bulletin of the AMS. The articles are designed to be fairly up-to-date and expository in nature, and often gives the state of the art in their reviews. 
Of course, a similar caveat as that to Helge's answer applies: the "news" maybe several months out of date. But considering the glacial paces at which a lot of mathematical refereeing takes place, I think it is quite okay. 
In the spirit of this answer, you may also find Which journals publish expository work? to be useful.
A: Another suggestion  Annals: to appear. Also other top journals. If a big problem gets solved, its solution probably gets submitted to a journal of this type, so its to appear lists are what you are looking for. Of course, you only learn about the solution of the problem a few years late (refereeing takes time), but you can be almost certain that the solution is actually correct.
A: The Wikipedia page List of unsolved problems in mathematics has a specific (and long) sublist for recently solved problems. 
A: arXiv.org
Any paper worth reading should include some background material and a description of general progress in its introduction section. This is especially true of papers that actually solve a problem, rather than chipping away at some small technicality. 
A: There is also a list about group theory open problems here : http://www.grouptheory.info/
A: Here https://theorems.home.blog/theorems-list/ is the website you are asking for. 
It covers all recently solved mathematical problems, which are important (for example, published in a top journal) but at the same time can be understood with not too much background.
