This is what the world would look like if you lived inside a 3-dimensional torus!!
(This picture is taken from the lovely book "The Shape of Space" by Jeffrey Weeks.)
Early last year, I saw the news heading that DeepMind made an reasoning model called AlphaGeometry that was better than a silver medalist at IMO geometry problems. It sent a shiver down my spine.
And ever since then, I haven't been able to stop thinking about it. The model is…
"Both number theory and physics are branches of applied mathematics.
I define a pure mathematician to be somebody who creates mathematical ideas, and I define an applied mathematician to be somebody who uses existing mathematical ideas to solve problems.
The main difference…
New video in the works! This one's about the sphere packing problem in dimension 8, a problem which recently the fields medal in 2022.
Keep your eyes peeled 👀
I have a pi-day challenge for all the physics students among you (or anyone willing to set up an experiment). If you share your results with me by March 10th, I may feature them in a video, depending on how good the results are and how many I get.
Many years ago I made this…
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'Geometry is successful magic' (R. Thom)
University of Amsterdam.
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29K Followers 811 FollowingMathematician (Distinguished Professor of #Math at @RutgersU). Here to learn about research, education, and community. Let’s build something together.
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110K Followers 6K FollowingSearching for the numinous
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Research @AsteraInstitute
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Right now thinking about writing-as-thinking, relationships, self-cultivation, LLMs
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