I hesitated to ask this question since it may not relevant to this website, but I saw a question of same category here but still couldn't find an answer ...
Since childhood, I've had a sharp enthusiasm for Maths, studying books from an elementary level to ones suited for the level of a Masters of Science student at Melbourne University. I am currently 15, but the formal classroom setting feels like a waste of my time. Because of my passion for Maths, going through the formal procedure of education is making me severely depressed...
Here is my question:
What careers which do not require an academic degree (all research positions require a PhD) might be open (in Australia) to a self-learner who wants to do research on Pure Mathematics?
Salaries for a postdoc position are ~80k in Australia, but I am looking for a research career even of a ~15k salary because that would be enough money to survive while doing research. I have yet to published any paper to impress some institution to believe in me, if it helps at all.
EDIT - Thank you all very much for your very informative answers. To be more precise, I would like to write my main reasons of the 'horror' of university:
Solving exercises or studying the texts in self-study themselves can (although difficult) be stopped for the duration of university affairs (classes, ...) but I believe that research can't be frequently stopped by other irrelevant things even with university affairs [university classes will be Math, but not be the research that I want to engross in, at least for first few years], since being creative requires to be much more engrossed (to put it simpler: 1 2-day is more efficient than 2 1-day for research).
Even with prestigious universities it involves a lot of bureaucracy, which they may find necessary to obtain a degree but are irrelevant to Mathematics.
Being very deep concentrated and having manic passion causes a lot sensitivity, that's why we have some recluse people (in Arts and Science) and most of them are suffering from Bipolar Disorder caused by their manic-enthusiasm. While there are many people with great achievements living in society with high-degrees UNFORTUNATELY I don't think it's impossible for me.
3a. An example of negativity in university education is the focus on institutional ranking. Combined with job-seaerching being the main purpose of study for some, it could impact someone who just seeks the beauty of Mathematics faith in seeking a degree.
University costs a lot for a Bachelors of Science, much more than it would to be a mathematician in solitude.
EDIT 2 - In my question, I have asked that from where I can get financial support for basic life expenditure, however many answers include enrollment in universities which costs A LOT for just BSc (supposing that I can survive with my mentioned conditions in first EDIT).
Thank you, everyone. I highly appreciate the brilliant advise in many of your answers, however my main question remains how would I pursue research in Mathematics without a degree? I know the path that is recommended for pursuing a research career, but the cost of university and not having peace of mind are too great of an expense for me.