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Monthly Archives: August 2026
OpenAI, updated
An update on this post, from my inside sources: word on the math streets of SF is that the OpenAI team tried something like 500 problems to get their 10 solutions. I don’t know how much of an insider this … Continue reading
Google Alert!
I have my google alert set for the phrase “Galois Representations”. Every six months or so it pops up with a suggestion, and I can’t quite work out what algorithm is using. Here was today’s breaking news: On the conductors … Continue reading
The inverse Galois challenge, part II
This is a sequence to this post. The SAIR competition (Round I) has been completed! 98.4% of the possible signatures were obtained, with only 39 non-solvable cases missing. Some thoughts. First, my timing in the last post of dissing the … Continue reading
Putting ChatGPT through its paces
We are all aware of what ChatGPT can do. I think we would be better informed if we also learn what it cannot do (at least right now!). In order to better understand the current capability of the latest publicly … Continue reading
Posted in Mathematics
Tagged Alan Reid, Bin Zhao, CFSG, ChatGPT, Curt McMullen, John Bergdall, Kevin Buzzard, Liang Xiao, Martin Bridson, Nha Xuan Truong, Robert Pollack, Ruochuan Liu, Xiaoyu Xu, Yào Liu
5 Comments
Observations from the ICM, Part 1
My recent post generated a surprising amount of personal emails defending of Philadelphia. I can happily report that, although I didn’t really get a chance to explore the city in any depth, it has at least one excellent cafe. “Thank … Continue reading
Posted in Mathematics
Tagged Categorical Trace, Coffee, David Ben-Zvi, Dennis Gaitsgory, ICM, Jakob Stix, Mochislop, Peter Scholze, Philadelphia, Terry Tao Tao, Thankyou Thankyou, Toby Gee
1 Comment
Look at everything that OpenAI failed to prove!
I was heartened to see a recent list of results proved by OpenAI here. Heartened because we are now clearly in an age in which AI can truly contribute to serious research mathematics. But also heartened because one can only … Continue reading