I find it pretty amazing that you can write the generating function for the the number of paths with a given winding number using elliptic functions https://arxiv.org/abs/2003.01740 pic.twitter.com/YRFJteksTZ
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Mathematics Sorceror (sensory alchemist) at the Arctangent Transpetroglyphics Algra Laboratory (ATAL), I transmute mathematics into living rainbows.
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I find it pretty amazing that you can write the generating function for the the number of paths with a given winding number using elliptic functions https://arxiv.org/abs/2003.01740 pic.twitter.com/YRFJteksTZ
These kinds of functions also appear in Viazovska's paper on sphere packing in 8 dimensions: https://arxiv.org/abs/1603.04246
The connection between theta functions and lattices is one of my favourite things in mathematics. I find it pretty mysterious too; I have no real intuition for why it's true despite working through the proofs (Eg. in https://www.springer.com/gp/book/9783658003593 … )
imaging how @beesandbombs animations change theta functions/lattice sums is a goal of mine, perhaps interactively.
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