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# Category Archives: abc Conjecture

## Why the Szpiro Conjecture is Still a Conjecture

There has been a remarkable discussion going on for the past couple weeks in the comment section of this blog posting, which gives a very clear picture of the problems with Mochizuki’s claimed proof of the Szpiro conjecture. These problems … Continue reading

Posted in abc Conjecture
39 Comments

## Latest on abc

Davide Castelvecchi at Nature has the story this morning of a press conference held earlier today at Kyoto University to announce the publication by Publications of the Research Institute for Mathematical Sciences (RIMS) of Mochizuki’s purported proof of the abc … Continue reading

Posted in abc Conjecture
136 Comments

## Scholze and Stix on the Mochizuki Proof

As discussed here a couple months ago, Peter Scholze and Jakob Stix believe they have found a serious problem with Mochizuki’s claimed proof of the abc conjecture, and traveled to Kyoto in March to discuss it with him. Their write-up … Continue reading

Posted in abc Conjecture
37 Comments

## abc News

[For those not up to speed on this story, see blog posts here and here from last December, as well as comments to those posts.] The last couple months I’ve heard reports from several people claiming that arithmetic geometers Peter … Continue reading

Posted in abc Conjecture
24 Comments

## Latest on abc

I’ve seen reports today (see here and here) that indicate that Mochizui’s IUT papers, which are supposed to contain a proof of the abc conjecture, have been accepted by the journal Publications of the RIMS. Some of the sources for … Continue reading

Posted in abc Conjecture, Favorite Old Posts
62 Comments

## Monumental Proof to Torment Mathematicians for Years to Come

Davide Castelvecchi at Nature has talked to some of the mathematicians at the recent Kyoto workshop on Mochizuki’s proposed proof of the abc conjecture, and written up a summary under the appropriate title Monumental proof to torment mathematicians for years … Continue reading

Posted in abc Conjecture
46 Comments

## White Smoke Over Oxford?

I’ve stolen the title of this posting from Michael Harris, see his posting for a discussion of the same topic. A big topic of discussion among mathematicians this week is the ongoing workshop at Oxford devoted to Mochizuki’s claimed proof … Continue reading

Posted in abc Conjecture
37 Comments

## Back

Now back from vacation, and as far as I can tell, not much happened while I was away. Here are a few things I’ve seen that may be of interest: Mochizuki has posted a long progress report on “activities devoted … Continue reading

Posted in abc Conjecture, Uncategorized
32 Comments

## Latest on abc

In case you haven’t been following this story, “abc” refers to a famous conjecture in number theory, for which Shin Mochizuki claimed last year (see here) to have found a proof. His argument for abc involves a new set of … Continue reading

Posted in abc Conjecture
32 Comments

## Proof of the abc Conjecture?

Jordan Ellenberg at Quomodocumque reports here on a potential breakthrough in number theory, a claimed proof of the abc conjecture by Shin Mochizuki. More than five years ago I wrote a posting with the same title, reporting on a talk … Continue reading

Posted in abc Conjecture
17 Comments