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…
29K Followers 806 FollowingMathematician (Distinguished Professor of #Math at @RutgersU). Here to learn about research, education, and community. Let’s build something together.
110K Followers 6K FollowingSearching for the numinous
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Research @AsteraInstitute
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12K Followers 738 FollowingQuantum information, useless information, generally informed. Quantum algorithms researcher @PhasecraftLtd. All views are my own.
23K Followers 2K Following@Penn mathematician; engineer; educator;
assoc. dean of undergraduate education @PennEngineers;
illustrator; animator; e/acta non verba
4K Followers 6K FollowingMathematician (algebraic geometry, motives & friends, singularities in statistics and ML).
'Geometry is successful magic' (R. Thom)
University of Amsterdam.
300 Followers 4K FollowingResearch scientist, active Inference, stochastic optimal control, robotics, autonomous vehicles, following twitter just for news from science
3K Followers 3K FollowingFixing machine learning @ https://t.co/x06CbGClKL. There is no AGI, without energy-based models. As seen on HN: https://t.co/WpbTAjLvPv
8 Followers 120 Followingfast all day and walk 30000 steps and you shall be so happy on fluffy clouds bouncing around like a wild bunny ready for the universe
1K Followers 3K FollowingTruth is paradoxical. love math, bio and industrious by nature. 0️⃣ 1️⃣ ⏩ 🔢 ⏩ 💯 ⏫ ∞ — in the finite set. ex–data scientist/MLE/nlp. building for sovereignty.
50K Followers 884 FollowingAssistant professor (of mathematics) at the University of Toronto. Algebraic geometry, number theory, forever distracted and confused, etc. He/him.
48K Followers 183 FollowingMathematician. Professeur titulaire de la chaire Combinatoire au Collège de France. Also fellow of Trinity College Cambridge.
29K Followers 806 FollowingMathematician (Distinguished Professor of #Math at @RutgersU). Here to learn about research, education, and community. Let’s build something together.
36K Followers 2K FollowingInformation Geometry, Information Theory, and Geometric Science of Information (GSI) for machine learning and AI, visual computing, HPC, pyBregMan lib @SonyCSL
110K Followers 6K FollowingSearching for the numinous
🇦🇺 🇨🇦, currently live in 🇺🇸
Research @AsteraInstitute
https://t.co/maezekzRUb
https://t.co/2dWwZKrvrn
16K Followers 780 FollowingMathemactivist and Craftamatician, constantly trying to unleash the beauty of Maths for all to see! Also a tortoise lover. (she/her)
803 Followers 438 FollowingEconomics @Stanford. Emergent Ventures grantee. I tweet about philosophy, economics research, animal welfare, and international development. Views my own.
11K Followers 476 FollowingPhysics video guy. Currently working on a video series showing how SU(3) blossoms into QCD. Let me know if you have a request for future topics! :)
14K Followers 407 FollowingI write essays at https://t.co/Tf2yohMyM1
Right now thinking about writing-as-thinking, relationships, self-cultivation, LLMs
16K Followers 6K FollowingChief science writer @London_Inst. 'The Man from the Future', on the unparalleled influence of John von Neumann, available everywhere. For my substack see link.
12K Followers 449 FollowingMachine learning researcher at @GoogleDeepMind & mathematician. Host of The Cartesian Cafe podcast. All opinions are my own.
9K Followers 20 FollowingAdvancing humanity's understanding of AI through interpretability research. Building the future of safe and powerful AI systems.
3K Followers 879 FollowingPM @DARPA; Prof of Math and CS @Rutgers-Newark; co-founder @ https://t.co/e6dJA2bLus; Math @the_IAS 2021-2023.
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