The most influential mathematician of his generation stands in a German lecture hall and explains a foundation he is rebuilding from scratch. Almost nobody watches it.
This is Peter Scholze at Bielefeld University, November 2025, opening lecture of a new public series called Ars Mathematica.
Scholze became a full professor at 24 and won the Fields Medal at 30. His work on perfectoid spaces reorganized entire areas of arithmetic geometry inside a decade.
Condensed mathematics is his attempt to fix something deeper: the way analysis and algebra refuse to sit together properly. He is proposing new foundations for how mathematical objects carry topology.
Watch how he pitches it to a general audience. No prerequisites assumed, no dilution, a working mathematician showing why abstraction opens rooms you could not otherwise enter.
A researcher I know rewatched the middle section twice and said it was the first time condensed mathematics felt like an idea rather than a rumour.
Free on YouTube from a university channel, subtitles on.
Some people prove theorems. He is replacing the floor.
Do yourself a favour
> go to https://t.co/auQJoYhm7b
> find “most cited” list of papers
> read the top 10 papers
> one or two papers per week
> read, read again, break it down, code it and write it back
Some of the most influential and transformative work of the last decade can be found here. It will be an amazing experience!!
Introducing GameBlocks: open-source building blocks that help coding agents prototype any 3D games with @threejs
3D behavior is hard to specify in natural language. GameBlocks turns fragile spatial logic into inspectable implementations with clear semantics, so agents can build from known-good patterns.
Github: https://t.co/72C1axnL8q
#gamedev #indiedev #threejs #codex #claude
I recently spent a month in Asia, including 10 days in China, where I met with senior policy makers in several countries, and I found that over the past few months, there has been a big shift in the world order. I share my perspective in my latest article.
As always, I welcome your questions and thoughts.
I'm joining OpenAI next week!🥹 The job search turned out to be really challenging but also super rewarding, so I wrote a small blog to share what I learned along the way and hopefully make the process a little less mysterious for the next person. https://t.co/6FigSBdenD
new grads often ask me what they should be doing so they don't fall behind in the ai space. there's a lot, but its honestly super manageable. become intimate with model internals. proof based linear algebra. non-convex optimization. this is stuff you could've done in undergrad. it definitely takes some time and work, but its doable. have taste, have opinions. train a small model, then train a big one. vLLM internals, tensor parallelism. hand roll kernels. cluster orchestration. do you have opinions on synthetic data? why don't you? SFT, PPO, you should know this. learn Triton. everyone is reproducing papers now so you need to be doing more. do you know the semi supply chain? where are the bottlenecks? hardware, man, hardware. your little gpu rig erector set in your basement isnt gonna cut it. build a cluster, a big one. pretrain a 800B model. now postrain it. serve it to millions of people. you should be able to beat deepseek on some benchmarks now. its a lot to take in but it all snowballs. this what job security looks like from now on. do you want to work in tech or not
"You can outsource thinking, but not understanding."
I still find writing toy code one of the best ways to build real understanding. It catches the nuances that skimming code and explanations lets you skip.
So I wrote nanoRL (nanoGPT, but for post-training).
SFT, DPO, GRPO, PPO: four single files, ~150 lines each, converging on a toy task in ~30 steps on a MacBook. Readable end-to-end.
Then I continue RL Qwen2.5-0.5B-Instruct on GSM8K with this toy code + autoresearch. Interestingly, the accuracy improves tho it's a trained model.