ICARM supports the use of new technologies for computer-aided reasoning and discovery in mathematics. The institute is hosted by Carnegie Mellon University on its campus in Pittsburgh.
Palomar, a public registry of Lean formalizations whose proofs have been machine-checked, is now open for submissions. Incubated by ICARM together with the Lean FRO, it gives formalized results a durable, citable record after three automated checks of the proof, the statement, and the submission's disclosures.
New record in arithmetic geometry: the first known elliptic curve with rank 30 was uploaded to ICARM's Elliptic Curve Rank Leaderboard, surpassing the rank-29 record set by Elkies & Klagsbrun in 2024. Details + discussion: https://icarm.io/news/new-record-breaking-elliptic-curve-reported/
Forty years after the other 25 sporadic groups were settled, an explicit degree-23 polynomial shows that M23 is a Galois group over Q.
