Representation theory, geometry and whatever else we decide is worth writing about today.
As in David’s most recent post, there’s been a lot in the news about finding proofs and counterexamples with AI. Last weekend, I decided to try an experiment with writing using AI. I learned a lot, and wanted to quickly discuss the experiment and my thoughts on it here. Lots of people are certainly already […]
As many of you have probably heard already, yesterday morning, Levent Alpöge tweeted that Fable had found a counterexample to the Jacobian Conjecture. Specifically, let Then the Jacobian of is easily checked to be . However, the map is generically three to one, not bijective. I’m sure many of you are playing with these polynomials […]
I’m writing to point out a potential law which should be gathering more opposition and attention in math academia: The Securing American Funding and Expertise from Adversarial Research Exploitation Act. This is an amendment to the 2026 National Defense Authorization Act which has passed the House and could be added to the final version of […]
I’d been meaning to write a plug for my paper A self-dual integral form for the moonshine module on this blog for almost 7 years, but never got around to it until now. It turns out that sometimes, if you wait long enough, someone else will do your work for you. In this case, I […]
On Wednesday, I asked several of my students what tools they use to collaborate online on their problem sets. Several of them mentioned Discord. I am currently trying to set up a Discord channel for my class. I imagine I am not the only one in this situation, so I am writing up my progress […]
There has been a dispute running through mathematical twitter about diversity statements in academic hiring. Prompted by that, Izabella Laba has just written an excellent post, which affirms the importance of diversity as a goal, but lays out the many tricky issues with diversity statements. It makes a lot of points I would like to […]
Jadagul writes: Got a draft of the course schedule for next year. Looks like I might get to teach real analysis. I probably need someone to talk me out of trying to do everything in R^n. A subsequent update indicates that the more standard alternative is teaching one variable analysis. This is my second go […]
My CAREER grant includes funding for a thesis-writing fellowship for graduate students who have done extraordinary teaching and outreach during their time as a grad student. If you know any such grad students who are planning on graduating in the 2018-2019 school year please encourage them to apply. Deadline is Jan 31 and details here. […]
I’m throwing this post up quickly, because time is of the essence. I had hoped someone else would do the work. If they did, please link them in the comments. As many of you know, the US House and Senate have passed revisions to the tax code. According to the House, but not the Senate […]
Readers may recall that during the 2013 “peak-Elsevier” period, Elsevier made an interesting concession to the mathematical community — they released all their old mathematical content (“old” here means a rolling 4-year embargo) under a fairly permissive licence. Unfortunately, sometime in the intervening period they have quietly withdrawn some of the rights they gave to […]