Which topological features of a complex algebraic shape come from algebraic subspaces?
The source trail 21
Findings, with context
DiscussionFound Sep 20, 2026
A source discussing Hodge
u/fantastic_awesome writes the excerpt below in a discussion related to Hodge. Read the source for the surrounding context.
“I think I may have found at least one potential approach or lense that may be enough background”
This excerpt is evidence of what the linked page says, not verification of its claims. Source reports an update on 2026-09-14; this is not necessarily the original posting date. Publication date has not been established.
u/PinEnvironmental6395 writes the excerpt below in a discussion related to Hodge. Read the source for the surrounding context.
“the rumor mill is churning that they got Hodge”
This source discusses a rumor. It does not establish a breakthrough. Source reports an update on 2026-09-10; this is not necessarily the original posting date. Publication date has not been established.
u/PinEnvironmental6395Original source · Found Sep 20
u/Palpatine writes the excerpt below in a discussion related to Hodge. Read the source for the surrounding context.
“yesterday openai told nyt they have made "significant progress" on another millennium problem”
This excerpt is evidence of what the linked page says, not verification of its claims. Source reports an update on 2026-09-10; this is not necessarily the original posting date. Publication date has not been established.
A comment signed Richard Thomas weighs possible routes behind the Hodge rumor
In a comment on the Hodge status discussion, Richard Thomas doubts that AI has supplied the new ideas needed for a full proof. He speculates instead about pursuing existing ideas for a possible counterexample involving tropical geometry. This is his interpretation of the circulating rumor, not a report of a released result.
“The internet is flooded with rumours that an AI company has proved the Hodge conjecture.”
The exact comment, signature, permalink and September 15 comment date were read directly. It is distinct from the September 12 guest article above it. The signature is attributed as displayed, without independent identity verification; speculation about a counterexample does not establish that one exists.
Richard Thomas (comment signature)Original source · Found Sep 20
The r/singularity Hodge thread asks what ‘close’ actually means
In the thread repeating the OpenAI/Hodge rumor, u/Morning_Gecko24 distinguishes a result for a restricted class of varieties from solving the full conjecture, and asks for a primary source beyond the screenshot. This is a qualification of the circulating claim, not an OpenAI announcement.
“a verified Lean proof would be huge, but a result for a restricted class of varieties is a different claim than solving the full conjecture.”
The exact comment and author were read in Reddit's public feed. The September 17 timestamp is a source update, not a separately established publication date. The root post is a screenshot; ProofWatch has not independently verified its underlying report or any private lab result.
Another commenter separates speculative interpretations of the Hodge rumor
u/Kinglolboot considers several possible meanings of ‘getting close,’ including progress for a special class of varieties, a counterexample, or a full proof. The commenter explicitly speculates and expresses skepticism; none of those possibilities is presented here as an established result.
“A possibility might be that they solved it for all abelian varieties, which would be a big result in the field”
An attributed interpretation of a rumor, not a new independent source for it. The comment was directly read; its author's expertise and mathematical assertions have not been independently verified. Reddit supplies a September 17 update date, with no separate publication timestamp.
A Bluesky post repeats Hodge reporting and adds personal speculation
@timkellogg.me links reporting in The Information about OpenAI and Hodge, then explicitly adds his own assumption that a result might already exist. The post captures the rumor spreading on Bluesky; it does not establish a completed proof or its scope.
“I assume they’ve already solved it”
The post text, account handle and September 17 timestamp were independently read through Bluesky's public API. The completion claim is the poster's stated assumption. ProofWatch has not independently accessed the linked reporting or verified a lab result.
A Reddit commenter traces the Hodge rumor to OpenAI chatter
In September's r/mathematics megathread, u/imadade asks about Twitter rumors naming OpenAI and Hodge. This records the rumor circulating, without treating its lab attribution or claimed result as established.
“Amongst twitter leakers, there's noise now about the Hodge Conjecture being solved by the same OpenAI model”
The exact comment and author were checked in Reddit's public feed. Its source-update timestamp is September 9; a separate publication timestamp was not supplied. An attributed rumor is not a verified result.
Glazer's reading of the rumor: a new Hodge case, not the full conjecture
u/elliotglazer says conversations around the labs make a narrower interpretation more plausible: an OpenAI result for a new case of Hodge, and possibly an Anthropic result for a new case of BSD. He warns that the distinction may have been lost as the rumor spread.
“a new case of Hodge was solved by OAI and maybe a new case of BSD by Ant.”
This is the commenter's interpretation of rumors, not an announced theorem. Reddit's public feed gives September 12 as the source-update date, with no separate publication timestamp. The same comment also appears in the BSD watch; it is one source, not two independent reports.
A follow-up comment challenges claims that a full Hodge result is imminent
Responding to a thread about new reporting, u/elliotglazer argues that the available statements still concern partial progress on Hodge. His comment is a useful qualification to the more sweeping rumors.
“I don’t think anyone competent to speak about Hodge would suggest their partial results means a full result is “expected soon.””
Comment text, author and permalink were verified in Reddit's public feed, which supplies a September 17 source-update timestamp. We have not verified private lab results or independently accessed the reporting discussed by the commenter.
What AI attention to Hodge could mean for mathematics
Burt Totaro considers possible AI-company efforts on Hodge and the value of the mathematical ideas developed along the way. He describes a possibility, not knowledge of a completed proof.
“It now seems possible that AI companies will burn through vast resources”
A guest post by Totaro, hosted by Terence Tao. Researcher discussion is not confirmation of an unpublished lab result.
Voisin explains the current landscape and limitations of possible approaches. Her guest post gives useful context for interpreting new claims about the conjecture.
This is not an endorsement or rejection of any particular unpublished AI claim.