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What abilities that I need to prepare and practice when I have just graduated from high school to be excel at topology in the future?

I have dreamed to become a mathematician and the main topic which I have intended to pursue is topology, although I have just finished high school. Recently, I have doubt about my ability to do abstract math or something like combinatorics which I heard from someone said this was appropriate for my career, for that I need some who can give me a detail information so I can be more assured about the path I chose. #college #career #mathematics #math #higher-education #major

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Christine’s Answer



hThe 50 Best Mathematics Programs in the World Today | The Best Schools
The Best Schools › features › best-mathematics programs
In his wake, the department especially made progress in the areas of topology, algebraic geometry, .... Offering a variety of degree programs from Bachelor's to Doctoral level, the department of Mathematics at UCLA.

Here is the website:
https://thebestschools.org/features/best-mathematics-programs-in-world-today/

Did you take Math through Calculus in High School? That would be a great start, when you choose the college you want to attend, request an appointment with an advisor to see the possibilities you have.

Of course, the best thing you can do is research colleges which have good Math Departments with majors that fit what you want and then communicate with the Mathematic Advisor in that department.
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Charlotte’s Answer

In terms of studying math, you learn more field-specific knowledge in grad school. For undergraduate math, you should focus on gaining general knowledge spanning algebra, geometry, and analysis. All three will be crucial in both applying to and studying in grad school. In essence, there is little now for you to do specifically for topology, but rather you should focus on finding a college that has a strong math program and studying all areas of basic math at the undergraduate level.
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