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Splash Biography


Major: Math

College/Employer: Princeton

Year of Graduation: 2026

Picture of Elie Belkin

Brief Biographical Sketch:

Not Available.

Past Classes

  (Clicking a class title will bring you to the course's section of the corresponding course catalog)

M703: Why Isn't a Circle a Sphere? An Introduction to Homology in Splash 2023 (Apr. 22, 2023)
If you're interested in math, you might have heard that a type of mathematician called a topologist thinks that a coffee cup and a donut are the same, because we can stretch and squish one into another and back. But how do we know that we can't deform anything into anything else? Are a coffee cup and a donut really the same in some special way, or are they no more similar than a circle and a sphere, or a line and a plane? In this talk we will answer these questions and more by giving a quick and dirty introduction to a powerful tool called homology, which is used in almost all fields of modern mathematics to tell objects apart and prove deep theorems about them.