I'm studying my high school right now but I really like math and it would be great for me if I could find a place where I can find about what is going on in the math world nowadays. About a year ago I was subscribed to the scientific american magazine and one time they put an article in there about Terrence Tao http://adsabs.harvard.edu/abs/2012arXiv1201.6656T finding this proof to a weak version of the Goldbach conjecture.
Any good places where I can get a grasp of current mathematical research and what is being done right now? I know about papers and journals but I would like to get a wider picture without needing to be an expert in every field.
There's an extensive mathblog circuit. While some blogs maintain a high level of rigor, I'd say that most intermix deep math, general thoughts and ramblings, and recent events of interest.
I'd like to recommend 4:
Firstly, the conglomerator mathblogging.org is a big compendium of bloggers that is somewhat differentiated based on the skill level and content.
Secondly, I recommend Terry Tao's blog, although much of the time, Terry talks about his own research which will probably fly above most audiences.
I also recommend Timothy Gower's blog, which tends to be almost entirely math news.
If you'll forgive the self-plugging, I also think my blog is pretty approachable, and I try to talk about things of interest to the greater math community some times.
Also, perhaps surprisingly, many mathematicians are very active of GooglePlus. Really, I'm serious.