memes

I apologise for disappearing for a few days. Dealing with stress, in particular due to this discussion, and with more 'professional' stuff. I have not read everything in the thread that got posted since I last replied here yet, and will probably not be able to do so quite right now.

Maybe a better phrasing would be that math is another paradigm of matter

In what sense? If by the word 'paradigm' you just mean 'a collection of ideas' (where an 'idea' is any non-material object), then the expression 'a collection of ideas of matter' doesn't make sense in this context without further clarification.
If you mean that it is some sort of a collection of theories about matter, then there are, again, problems. Math-as-what-mathematicians-study is not a theory, not a collection of thought patterns, research methods or anything like that - it exists independently of our minds. Also, not particularly relevant, but math as the body of knowledge about what mathematicians study tells us nothing about matter without application of the sort that physicists and chemists engage in.

another way of visualizing matter

Math-as-what-mathematicians-study is not any sort of way of visualising anything, though. We can use knowledge about that stuff in order to help us visualise things, both material and non-material, like we know how to draw an annulus and we know that a Laurent series generally converges for z within a metric annulus on the complex plane, meaning that we can visualise the region of convergence of such a series with a relevant drawing (or imagine a relevant drawing), or like how we can use our knowledge of the fact that roughly half of uranium-238 decays into uranium-234 within 4.5 billion years or so to make a relevant drawing (or, again, imagine one).

Math does not exist in a vacuum, this is a big difference between metaphysics and Marxism, things do not exist in a vacuum

Not sure what you mean by 'existing in a vacuum'. In the literal sense, it is incorrect, as math is not a material thing, and does not have a location in any reasonable sense in this context.
If by that you mean that it depends on matter, then that seems to be an assumption/axiom that you subscribe to. That assumption does not seem to have a good basis. How would matter have to be different in order to, for example, eliminate the idea of the field of rational numbers? Or do you have another example of a dependency of math-as-what-mathematicians-study in mind?

Math studies have to converge to the currently developed laws of math or it is not math but nonsense

What do you mean by 'converge' here, and what relevance does this sentence have to this topic?
What mathematicians study can be said to be 'the laws of math'. The study of math can't be said to 'converge' in any sense that I can think of, other than colloquial and imprecise, in which case I'm not sure what exactly it is that you mean.

Furthermore, are there any conclusions that Marxism draws from materialism about society, economics, politics, communist praxis, epistemology or some human activity that I have failed to consider here? Because if not, it seems that we are in the same boat with the exception that I say that some non-material things are non-mental and are not dependent on matter, while matter has dependencies on it, and you say that there are no such things.