Our guest this week, Sam Fisher, just completed his Master's in Mathematics at McGill University and is now embarking on a transatlantic PhD in Mathematics at the University of Oxford. He treats us to a journey through the conceptual underpinnings of his research in the field of Geometric Group Theory. Whether you're a math enthusiast, or just a curious mind, you'll find this episode to be refreshing reminder of the beauty and elegance of mathematics. Enjoy!
Tune in for Answers to Questions Like
What is Geometry, and what kinds of geometric spaces can we imagine?
What would giant triangles look like on the surface of the earth?
Why are some mathematicians incapable of differentiating between mugs and donuts?
How do you create mathematically complex transformations every time you tie your shoelaces?
Where do symmetries crop up in the mathematical and real world?
and many, many, many more!
Topics & Concepts
Mathematical Insights
Mathematical Physics
Geometry
Euclidean & Non-Euclidean Spaces
Curvature ft. Totally Trippy Triangles
Topology
Rubber-Sheet Geometry
Mugs & Donuts
Knot Theory
Group Theory
Geometric Group Theory
Betti Numbers
Sam's "Aggressive Saddles"
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