Masters in Mathematics: Seeking Suggestions & Resources

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SUMMARY

The discussion centers on pursuing a master's degree in mathematics, with a focus on applied topics in physics. Key areas of interest include Dynamical Systems (specifically Optimization, Fractals, and Ergodic Theory), Topology (Knot Theory), and Algorithms (Folding Math). Participants emphasize the intersection of mathematics with practical applications, particularly in Origami, as highlighted by resources from Merrimack College and Professor Eric Demaine. The conversation encourages input on specific topics and available resources for deeper exploration.

PREREQUISITES
  • Understanding of Dynamical Systems and their applications in optimization.
  • Familiarity with Topology, specifically Knot Theory.
  • Knowledge of Algorithms and their relation to mathematical folding techniques.
  • Basic concepts of Origami and its mathematical implications.
NEXT STEPS
  • Research advanced topics in Dynamical Systems, focusing on Optimization techniques.
  • Explore Knot Theory and its applications in modern mathematics.
  • Investigate Folding Math and its connections to computational algorithms.
  • Watch lectures or videos on Origami mathematics, particularly those featuring Professor Eric Demaine.
USEFUL FOR

Mathematics students, educators, researchers in applied mathematics, and anyone interested in the mathematical foundations of physical applications and Origami.

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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. :)
 
Physics news on Phys.org
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.
 

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