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Inevitably, I think back to my favorite result in mathematics: when Diaconis used the representation theory of the symmetric group to show us that psychologists just don’t get along… What I Think About When I Think About Voting Sarah Wolff Denison University It’s November. Here in Ohio, that means cozyRead More →

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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 →

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Polynomials, it turns out, are useful for more than just input-output assignments! Perspectives on Polynomials (it’s a witch!) Courtney Gibbons Hamilton College It was a dark and stormy night… Okay, it was probably more like 3:30 in the afternoon on a crisp fall day back when I was teaching CalcRead More →

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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 →

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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 →

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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 →

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I’m pretty sure the etiquette of puzzle creation insists that a “good” puzzle has a unique solution—but bear with me! I promise I’m breaking the rules of etiquette for a good reason! Applied Algebra A Variety Show Courtney Gibbons Hamilton College My interest in applied algebra was a long timeRead More →

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Decomposition Mathematics too has profited from the idea that sometimes things of interest might have a structure which allowed them to be decomposed into simpler parts... Joe Malkevitch York College (CUNY) Introduction One way to get insights into something one is trying to understand better is to break the thingRead More →