Website review
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What is konstantinkakaes.com?
konstantinkakaes.com is the personal clips site of Konstantin Kakaes, a writer who covers mathematics, artificial intelligence, computer science, and science and technology. It is mainly an archive: short entries that link out to his published work, plus occasional notes about newsletters, podcasts, and events.
The page is organized as a dated feed. Each entry has a headline, a date, a brief description, and tags such as Mathematics, Artificial Intelligence, or Quanta Magazine. The listing shows items from 2026, including a weekly newsletter on math and AI, coverage of AI-assisted work on the Navier–Stokes equations, a Fields Medal profile of John Pardon, a podcast conversation about AI in math, and articles on Peter Scholze and Dustin Clausen, Alexander Grothendieck, and satellite technology.
For readers, the practical value is as a finding aid: if you want to follow how AI is changing mathematical research or read accessible profiles of mathematicians, this page collects those pieces in one place and points to where they were published. It is not a research database, a course, or a place to read full articles on-site; the entries are signposts.
A useful next step is to scan the tags and dates rather than the whole feed. If you are interested in AI and math, start with the AI-related entries; if you want mathematical history or profiles, look for the Mathematics-tagged items. You can also follow the linked publications directly, such as Quanta Magazine.
What kinds of articles and clips are collected on konstantinkakaes.com?
konstantinkakaes.com is a personal clippings site for the journalist Konstantin Kakaes, gathering his published work rather than hosting original articles. The clips concentrate on mathematics, artificial intelligence, and the people and institutions behind both — most visibly pieces written for Quanta Magazine.
Recurring subjects include:
- AI and mathematics: coverage of machine-assisted proofs, the changing pace of mathematical research, and debates about what counts as a result.
- Mathematicians and their work: profiles and explainers on figures such as John Pardon, Peter Scholze, Dustin Clausen, and Alexander Grothendieck.
- Science and technology more broadly, including a review of Open Space that touches on satellite technology and private power over communications.
- Audio: at least one podcast clip, a conversation with Quanta's editor-in-chief about AI's effect on math.
The site also announces his own newsletter on math and AI, so the page mixes his outside publications with occasional notes about current projects. Entries are dated and tagged by category, which makes it easy to scan by topic.
For a reader trying to decide whether to browse it: use the tags if you want a specific thread, such as AI in mathematics, and read the dated entries in order if you want to follow how that story has developed. Someone researching AI-assisted proof, for example, would find the Navier–Stokes item and the "AI revolution in math" pieces more useful together than separately.
How can I follow Konstantin Kakaes's new Quanta Magazine newsletter on math and AI?
Kakaes's own clips page announces the newsletter and points to Quanta as its home: "Announcing 'Transformation' … I'm writing a weekly (more often when news merits) newsletter on math and AI for the fine folks over at Quanta Magazine. Check it out!" The most reliable route is therefore to go to Quanta directly and look for the newsletter signup there, rather than relying on the clips page.
Practical steps
- Open the announcement post on konstantinkakaes.com and use its outbound link to Quanta.
- On Quanta Magazine, find the newsletter signup (usually in the site footer or a subscribe prompt on an article) and choose the math-and-AI newsletter if it is listed separately.
- If you cannot find a distinct signup, subscribe to Quanta's general newsletter and look for the "Transformation" issues in your inbox; the announcement describes it as weekly, with extra issues when news warrants.
- Check your spam or promotions folder after the first issue, and add the sender to your contacts so a weekly cadence does not get filtered.
What you are signing up for
Based on the clips page, the newsletter covers math and artificial intelligence, and Kakaes also writes Quanta stories on related topics — for example, an article on whether AI has helped solve one of math's Millennium Prize problems, and coverage of AI's growing role in proving new results. If you want that mix of reported math journalism and AI commentary, the newsletter is the natural fit; if you only want his bylined articles, following his clips page or Quanta's mathematics section may be enough.
What does Konstantin Kakaes report about AI's role in solving the Navier-Stokes Millennium Prize problem?
Konstantin Kakaes reports that mathematicians at OpenAI showed the Navier–Stokes equations—which describe how fluids flow—can sometimes “blow up,” a result connected to one of math’s $1 million Millennium Prize Problems. In his account, he stresses that the result is not without controversy, and he tells part of the story of how the ideas behind the proof were developed by Diego Córdoba of the Institute for Mathematical Sciences in Madrid and Luis Martínez-Zoroa of CUNEF University. The clip is tagged for artificial intelligence, mathematics, and Quanta Magazine.
What this means in practice
The distinction worth keeping: the headline claim is about a proof or result, while the reporting also flags disagreement. That combination matters because a “blow-up” result in fluid equations is exactly the kind of claim other mathematicians will want to scrutinize, replicate, and interpret before treating it as settled.
If you want to follow the thread rather than just the headline, start with Kakaes’s clip index at Clips by Konstantin Kakaes and then read the underlying Quanta Magazine coverage for the fuller argument and reactions. For broader context on how AI is changing mathematical research, his related clips on the AI revolution in math are a useful next stop.
Why is John Pardon considered a quiet but important mathematician, and what did he win the Fields Medal for?
John Pardon is described as quiet in the sense that he works without much public fanfare, yet his mathematical importance comes from seeing connections between different areas of math that others miss. That kind of cross-cutting vision is what earned him a Fields Medal, according to the site's clip summary.
For a reader trying to understand why that matters: a mathematician who links separate fields can turn a hard problem in one area into something already solved in another, which is often how stubborn questions suddenly become tractable. The practical takeaway is to read the Pardon clip alongside the site's other mathematics posts, since the same theme—unexpected bridges between fields—runs through several of them.
The page itself is a personal clips collection by Konstantin Kakaes, gathering his writing and podcast appearances, mostly for Quanta Magazine. If you want the full explanation of Pardon's work and the medal citation, the original article is the place to go; the clip here is a pointer and short summary, not a detailed technical account.
How have Peter Scholze and Dustin Clausen been rebuilding mathematics from the ground up?
Peter Scholze and Dustin Clausen are rebuilding mathematics from the ground up by going after one of its most basic building blocks: the concept of a "space" in topology. Rather than taking the usual notion of a topological space as fixed and working within it, they replace that foundation with a new framework—condensed mathematics—and then build outward from there. The larger ambition is to understand why numbers behave the way they do, not just to patch individual results.
As Konstantin Kakaes describes it on Clips by Konstantin Kakaes, this replacement of topology's most fundamental concept is "the first step in a far bigger program." That framing matters: it is a long-horizon research project, not a single theorem. The pay-off, if it holds up, is a setting where algebraic and analytic methods fit together more cleanly than they do in the classical foundations.
If you want to follow this kind of work, start with the linked Quanta Magazine piece Kakaes cites, then read it alongside his other mathematics clips on the same site—particularly the ones on Grothendieck and on AI-assisted proof—to see how foundational rebuilding compares with more incremental advances.
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