TITLE: Can a chemical engineer become a self-taught mathematician?
QUESTION [20 upvotes]: My background covers calculus, analytical geometry, linear algebra, ODEs, numerical methods, statistics. Not to mention all the physics, chemistry and typical chemical engineering subjects.
I am finishing my degree but I really like math. I would like some guidance. Thanks in advance.
Update:
Mathematician in a sense of production, research, do serious math. Be able to discuss with researchers and so on. Is it possible outside academia? Some answers says it is obvious, but I would like some guidance to have a strong basis to then start to produce in any area.
Update 2:
My question was put on hold. I didn't know that my question violated the rules, it is the first time that I used this site. If any of you would help me to put into standards I'd appreciated (if it is possible to make the question in a right way).

REPLY [3 votes]: In addition to what Yly rightfully stated, my impression as a math student is that there is a big plateau that you might hit. I am 3 years into my bachelor, probably finishing with a 2.0.
When I started to go into more advanced topics of Algebra I came upon a big  change in literature. 
While introductional books take you though a theorem step by step, these steps got larger very fast when I left the basic classes.
This might be where self teaching mathmatics gets way more challenging than expected.
I would not be able to finish my bachelor degree without lectures giving me a more elaborate input.
However, there are still students who do just that.
To conclude:
Yes, you can learn a lot of math on your own.
Can you get a bachelor/master degree or a PhD in math? - It depends. Those who are not smart enough and cannot read an advanced book on their own will find out eventually. You might just not hit any plateau what so ever.
Since you asked for some guidance, here are two well-known books for Algebra and algebraic Geometry:

Bochnak, Coste, Roy: Real algebraic geometry
Lang: Algebra (this covers Crove's Algebra and more advanced topics)