Banner for the AMS Feature Column

One of the fundamental forces in the universe is the weak force. The weak force is involved in holding atoms together or breaking them apart... Putting a period on mathematical physics Ursula Whitcher Mathematical Reviews (AMS) You've heard of periods at the ends of sentences and periods of sine waves.Read More →

Banner for the AMS Feature Column

If one has a pattern on a band, frieze, or strip (disregarding color if as often happens more than one color appears), regardless of the artistic content of what one sees, there are exactly 7 different patterns that are possible… Remembering Donald W. Crowe Maker of Connections between Symmetry, ArtRead More →

Banner for the AMS Feature Column

I would like to discuss the Jordan curve theorem as part of an intrinsic human activity: storytelling. The Jordan Curve Theorem as a Lusona Allechar Serrano López Harvard University Introduction The Jordan curve theorem is a result in topology that states that every Jordan curve (a plane simple closed curve)Read More →

Banner for the AMS Feature Column

Mathematically, the most intriguing of the new proposals use lattices for message encryption… What will they do when quantum computers start working? Bill Casselman University of British Columbia Commercial transactions on the internet are invariably passed through a process that hides them from unauthorized parties, using RSA public key encryptionRead More →

Banner for the AMS Feature Column

In 1915, the paper “Note on an Operation of the Third Grade” by Albert A. Bennett appeared in the Annals of Mathematics. A terse two-page note, it was largely neglected until the early 2000s… Hyperoperations, Distributivity, and the Unreasonable Effectiveness of Multiplication Anil Venkatesh Adelphi University Iterated Operations Everyone knowsRead More →

Banner for the AMS Feature Column

Social media platforms connect users into massive graphs, with accounts as vertices and friendships as edges... Predicting friendships and other fun machine learning tasks with graphs Noah Giansiracusa Bentley University Artificial intelligence (AI) breakthroughs make the news headlines with increasing frequency these days. At least for the time being, AIRead More →

Banner for the AMS Feature Column

What is the $E_8$ lattice that appears in Viazovska's proof? What makes it special? How do you use it to pack spheres? Eight-dimensional spheres and the exceptional $E_8$ Ursula Whitcher Mathematical Reviews (AMS) In Helsinki this summer, Ukrainian mathematician Maryna Viazovska was awarded a Fields Medal "for the proof thatRead More →

Banner for the AMS Feature Column

We can formulate this situation into an example of Simpson’s Paradox. When employee outcomes were examined overall, there was no evidence of discrimination between men and women. However, if employee outcomes were to be further broken down by race, there would have been a very clear discrepancy between the BlackRead More →