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topology

Latest Articles

The Joy of Why

Is There Math Beyond the Equal Sign?

By Steven Strogatz
March 22, 2023
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Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction.

Mathematician Lek-Heng Lim standing near some columns at the University of Chicago.
Q&A

An Applied Mathematician With an Unexpected Toolbox

By Rachel Crowell
March 1, 2023
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Lek-Heng Lim uses tools from algebra, geometry and topology to answer questions in machine learning.

a small human figure stands on a golden geometric structure while the sky is full of curving pink and purple grids
graph theory

Quantum Field Theory Pries Open Mathematical Puzzle

By Leila Sloman
February 16, 2023
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Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.

topology

Mathematicians Eliminate Long-Standing Threat to Knot Conjecture

By Leila Sloman
February 2, 2023
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A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.

2022 in Review

The Year in Math

By Konstantin Kakaes
December 22, 2022
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Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

quantum computing

After a Quantum Clobbering, One Approach Survives Unscathed

By Allison Parshall
December 7, 2022
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A quantum approach to data analysis that relies on the study of shapes will likely remain an example of a quantum advantage — albeit for increasingly unlikely scenarios.

Quantized Columns

Why Mathematicians Study Knots

By David S. Richeson
October 31, 2022
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Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.

geometry

The New Math of Wrinkling

By Stephen Ornes
September 22, 2022
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A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

Seifert surfaces formed from closed loops.
topology

Special Surfaces Remain Distinct in Four Dimensions

By Kevin Hartnett
June 16, 2022
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For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them.


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