Henry Kvinge

AI researcher, mathematician

[Davis Brown @davisbrownr]

Mathematicians use conjectures to point to important, open problems. We collect nearly a thousand (currently 890) recent conjectures from the math literature for a new dataset, OpenConjecture. On a subset, GPT-5.4 finds candidate proofs, and formalizes several in Lean.

[Henry Kvinge @HenryKvinge]

This reinforces the idea that the advance of AI for math will require us to think hard about what we actually value in mathematics research.

[Henry Kvinge @HenryKvinge]

Bijections allow mathematicians to make connections between objects that look different at first glance. Our new paper ‘Even with AI, Bijection Discovery is Still Hard’ explores whether evolutionary program-synthesis frameworks like OpenEvolve can be used for AI-driven discovery.

[Henry Kvinge @HenryKvinge]

We find that even when using powerful backbone LLMs, bijection discovery is still hard. However, our results suggest that this may largely be a result of misalignment between what we really value in combinatorial bijections (math insight) and the way we rigorously define them.

[Henry Kvinge @HenryKvinge]

Looking to connect with AI and math researchers? Don't miss the "Topology, Algebra, and Geometry in Data Science Conference” at UCSD, Dec 1-2. It's the perfect pre-NeurIPS event! #AI #Math #DataScience

[Henry Kvinge @HenryKvinge]

Check it out at https://t.co/yzBRQJpmCx

#AIforMath #Math #OpenScience

[Henry Kvinge @HenryKvinge]

Can AI help discover new mathematics? 🧐

We've released our Algebraic Combinatorics Dataset Repository on @huggingface to help find out!

Includes: 📊 Raw Data 📝 Problem Statements 📈 Baseline Stats for a range of open problems. All in an ML friendly framework.