Axios: Pre-Trump GOP targets Vance ahead of 2028. WSJ opinion, long critical of Trump, now challenges VP JD Vance as his presumed heir—citing ambition over governing, thin-skinned personality, naivety on the Iran deal, and ties to Tucker Carlson. —— Critics fall into three circles: 1. Pro-Israel conservatives 2.Traditional Republicans seeking a return to the pre-Trump party 3.The Murdoch empire (Rupert Murdoch repeatedly clashed with Trump in 2016 and 2024)

Axiom Math's Carina Hong on the undergrad intern who proved Richard Stanley conjectures with her AI: "There's someone who just joined our team, a junior undergrad student and intern, using Axiom Prover to prove a couple of conjectures by Richard Stanley, one of the best combinatorialists, at MIT." "That's very exciting for this person, because the AI basically means you can now reach for the impossible conjectures that would typically take you some time of getting used to that difficulty of problem." @CarinaLHong @axiommathai

Axiom Math's Carina Hong on why verification isn't about catching mistakes, it's how you drive the cost of a proof to zero: "Formal verification is going to make your life slightly better if you're facing a proof with one million lines. Remember the Erdős unit distance problem, the chain of thought being generated? There are actual mathematicians trying to follow it step by step and scrutinize it. That seems very difficult if you're not in that very niche domain of discrete geometry intersecting with algebraic number theory." "But if you have a Lean proof accompanying it, you can just run it. And running the Lean proof gives you that provable guarantee that this proof is sound." "I have a hot take. People think Lean is this library built on the existing Mathlib. I think it's going to grow significantly. A lot of the hurdles where Lean is difficult is that the basic definitions of some mathematical fields are just not in the library." "My hot take is the scaling law, if you go down the formal mathematics path, is going to be a lot steeper than informal mathematics. So it's not just for verification, for trust, it's also for performance, it's also for optimal generation." "Verification is not like insurance. It's not something where, oh, we want to make sure there's no flaw. That's great, but it also helps you generate mathematics, both proofs and conjectures and theories, a lot better." "So imagine the cost of proof goes to zero. Then you can massage the problem statements, and even if it's an open problem, a lot more easily, flexibly, and adaptively." @CarinaLHong @axiommathai

AXIOS: Dem super PAC Senate Majority PAC just dropped another $54M in TV ad reservations — all offensive plays targeting GOP-held seats. • Ohio Senate: $24M ($60M total) • Iowa Senate: $17M ($30.5M total) • NC Senate: $11M ($42.5M total) • Alaska Senate: $2M ($11M total)

#AX2026# Thank you guys so much for coming!!!!! I had an amazing Thursday to Sunday!🥺Everyone are soooo nice! Thank u guys! Hope I can see you next year! Love you all!😭🫶🏻✨