Masters in Mathematics: Seeking Suggestions & Resources

AI Thread Summary
A user is considering pursuing a master's degree in mathematics and is seeking input on specific research topics, particularly those applied in physics. They have narrowed their interests to three areas: Dynamical Systems (focusing on Optimization, Fractals, or Ergodic Theory), Topology (specifically Knot Theory), and Algorithms (with an emphasis on Folding Math). The discussion includes a suggestion that Folding Math relates to Origami, accompanied by a recommendation to watch a video featuring mathematical concepts in Origami, highlighting contributions from Prof. Eric Demaine. The user is open to further suggestions and resources related to their research interests.
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Hi! I'm considering a maters degree in mathematics as the title suggests. Right now I have to decide a specific topic and I've narrowed it down a bit but I'd like some input from people in the field (or getting into the field). I am inclined to research something applied in physics. Here's what I've got so far:

1) Dynamical Systems: Optimization, Fractals or Ergodic Theory
2) Topology: Knot Theory
3) Algorithms: Folding math

I'm open to suggestions and any resources available on the topic will be appreciated. :)
 
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By folding math you mean something like Origami?

Here's a video on Origami, there's several sections where math and origami intersect in the discussion:



Check out 39:20 on Merrimack College math and 42:20 on Prof Eric Demaine, an Origami theorist's work.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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