Math Enjoyer

By Cantor's diagonal proof

No bijection over to the naturals

The ideal setup is friends studying the same thing at the same level, but once you graduate that becomes complicated.

But even if you only have vaguely compatible interests or are at slightly different levels in your studies, you can still do that!

I have a friend who is still a graduate student and with interests closer to representation theory than number theory, but we set up a 2-person reading group on a book we both found cool and didn't know too much about (Hienart, Local Laglands for GL_2) and it's the best part of my weeks!

Chemistry grad students have been spotted trying to lure campus squirrels into laundry hampers in the hope that it sparks inspiration.

Snake-in-the-Box-Problem [Explained]

Transcript

[A panel with text both above and below the illustration, with further text outside the panel below.] [In the panel, above the illustration:] A snake slithers around a hypercube. No two non-consecutive parts of its coils can be on adjacent corners. [Three small illustrations of 4-dimensional hypercubes, each with a snake slithering around its edges. Each illustration has a red line or lines indicating an edge or edges where two non-consecutive parts of the snake are on adjacent corners. Below each hypercube is a red X.] [A large illustration depicting a 4-dimensional hypercube with a snake slithering around its edges.] [Below the large illustration is text printed in green. To the left of the text is a green checkmark.] Dimensions=4 Max length=7 [The following text is printed in black, except for the last word "UNSOLVED" which is printed in red:] Snake(N) = Largest snake that can fit in an N-dimensional hypercube Snake(N=1, 2, 3 .. 8) = 1, 2, 4, 7, 13, 26, 50, 98 Snake(N>8) = UNSOLVED