SMRTR Science & EngineeringMay 20, 2026Quanta Magazine

Two Researchers Are Rebuilding Mathematics From the Ground Up

SMRTR summary

Two mathematicians are rebuilding the foundations of mathematics using a new framework called "condensed mathematics," which rethinks how topology and algebra work together. Traditional topology has long had limitations when applied to modern mathematical problems, but this new approach replaces the standard framework with something more flexible and powerful, potentially transforming how large areas of mathematics are structured and understood.

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