I have graduate degrees in optimal control. Here's my two cents worth.
Since you're still learning, I'd say a StackExchange-like Q&A site or a forum might be a more appropriate venue. These typically allow you to type math and explain stuff in long-form. They also provide you a better feedback loop from peers and experts. You get to test out your ideas and integrate new ones.
I don't want to be a Debbie Downer, but I'm gonna go against the advice of most tech folks out there (and here on HN) by saying: a blog might not be the best medium at this stage of your studies.
The danger with a blog is that it stays on the Internet forever. When you're starting out on a subject, you're bound to say naive things and overestimate your own knowledge (source: been there done that).
Some of the things you say will range from the naive to the inaccurate [1]. And these will be indexed by a search engine and cached. People will stumble on your site, and if you're a good writer, your material might even get picked up and repeated. This is happening all over the data science world where every aspiring data scientist fancies having a blog, and the overall quality of data science articles in the blogosphere is abysmal at the moment. (witness the multitude of data-munging-with-Pandas and oh-look-I-just-discovered-logistic-regression articles). It's mostly just noise.
This doesn't mean I don't think there's value in writing -- on the contrary, writing helps crystallize your thoughts and forces you to grapple with gaps in your knowledge. You should definitely keep a single LaTeX file of ideas in gestation [2], without publishing them. When the time is right and when your semantic tree of the subject is more mature, you can review and release them, and chances are some of the ideas will be novel, or at the very least, thoughtful.
Many great works are created this way. Great authors don't show you how the sausage is made; they show you the polished end products. And these tend to stand out more.
TLDR; write, but don't publish until you've developed more maturity in the subject. Participate in Q&A sites/forums and test your ideas there.
[1] Unless you're careful to stay within the boundaries of established knowledge, in which case, your blog would be no different from a textbook.
[2] This is a variation of a Richard Feynman trick. Some of the most creative academics I know keep a list of their random ideas in a cache (mine's a Google Docs document named "Random Ideas"; I learned this from said academics), and mull over them (and develop them) from time to time. If one day the stars align and a missing piece of the puzzle shows up, they go back to this cache, put everything together and whip out a brilliant paper or article in no time. Everybody is impressed and thinks they're a genius, when in fact they've been thinking about the idea for a long time.