This question is very interesting. First of all, we assume that the other person has the same life foundation as us, so the other person will undergo metabolism. In other words, if objective conditions allow them to evolve, similar thinking should also appear from their will, such as the competition for food (perhaps better energy) and the distribution of benefits. Mathematics originally comes from the most primitive practical problems, so if the other party has the same basic survival problems as us, then the corresponding solutions will be derived from their consciousness, and gradually evolve into a set of theories with their evolution. But their mathematics must be completely different from our understanding, if we admit that we and aliens must have completely different ideologies. In other words, they will also have mathematics, but that is the existence of another world view. At least we have to spend a long time and energy to interpret even a simple law in their eyes, or we have to figure out whether they want to express mathematics or not.