Two Researchers Are Rebuilding Mathematics From the Ground Up
Peter Scholze and Dustin Clausen are redefining the foundations of mathematics by introducing a new category of mathematical objects called condensed sets. This innovative approach aims to address the limitations of traditional topological spaces, which have been foundational in mathematics but are poorly suited for modern algebra. Their work represents a significant shift in mathematical thinking, potentially simplifying many areas of the discipline.
- ▪Scholze and Clausen have developed condensed sets to replace topological spaces in mathematics.
- ▪Condensed sets retain the beneficial properties of topological spaces without their drawbacks.
- ▪Their work is seen as a first step in a larger effort to understand the behavior of numbers.
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| Original publisher | Quanta Magazine |
| Canonical URL | https://www.quantamagazine.org/two-researchers-are-rebuilding-mathematics-from-the-ground-up-20260520/ |
| Publication time | Wed, 20 May 2026 14:52:19 +0000 |
| Retrieval time | 2026-05-20T14:55:02.611Z |
| Last seen | 2026-05-20T15:05:11.390Z |
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Home Two Researchers Are Rebuilding Mathematics From the Ground Up Comment Save Article Read Later Share Facebook Copied! Copy link Email Pocket Reddit Ycombinator Comment Comments Save Article Read Later Read Later foundations of mathematics Two Researchers Are Rebuilding Mathematics From the Ground Up By Konstantin Kakaes May 20, 2026 By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far bigger program to understand why numbers behave the way they do.
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