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Mathematics

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How Math Achieved Transcendence

By David S. Richeson
June 27, 2023
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Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

graph theory

Mathematicians Discover Novel Way to Predict Structure in Graphs

By Jordana Cepelewicz
June 22, 2023
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Mathematicians probe the limits of randomness in new work estimating quantities called Ramsey numbers.

dynamical systems

Flow Proof Helps Mathematicians Find Stability in Chaos

By Jordana Cepelewicz
June 15, 2023
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A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

combinatorics

First-Year Graduate Student Finds Paradoxical Set

By Alex Stone
June 5, 2023
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No two pairs have the same sum; add three numbers together, and you can get any whole number.

A video depiction of shifting boundaries in Colorado illustrates the endless possibilities for drawing Congressional districts.
applied math

How Math Has Changed the Shape of Gerrymandering

By Mike Orcutt
June 1, 2023
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New tools make it possible to detect hidden manipulation of maps.

Quantized Academy

Math Patterns That Go On Forever but Never Repeat

By Patrick Honner
May 23, 2023
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Simple math can help explain the complexities of the newly discovered aperiodic monotile.

nonlinear dynamics

New Proof Finds the ‘Ultimate Instability’ in a Solar System Model

By Jordana Cepelewicz
May 16, 2023
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For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.

A man in a blue jacket on a staircase.
Q&A

A Plan to Address the World’s Challenges With Math

By Kevin Hartnett
May 11, 2023
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Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.

A visual argument explaining why the Ramsey number of three is six.
graph theory

A Very Big Small Leap Forward in Graph Theory

By Leila Sloman
May 2, 2023
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Four mathematicians have found a new upper limit to the “Ramsey number,” a crucial property describing unavoidable structure in graphs.


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