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Discrete Math and Combinatorics – Feature Column

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<article id="post-1831" class="entry author-uwhitcher post-1831 post type-post status-publish format-standard has-post-thumbnail category-112 category-algebra-and-number-theory category-discrete-math-and-combinatorics category-math-and-social-sciences category-sarah-wolff tag-persi-diaconis tag-representation-theory tag-voting archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="288"><a href="https://mathvoices.ams.org/featurecolumn/2023/11/01/what-i-think-about-when-i-think-about-voting/" class="entry-featured-img-link"><img width="690" height="288" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Feature Column" itemscope="" decoding="async" fetchpriority="high" srcset="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1 690w, https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?zoom=2&amp;resize=690%2C288&amp;ssl=1 1380w" sizes="(max-width: 690px) 100vw, 690px" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2023/11/01/what-i-think-about-when-i-think-about-voting/" rel="bookmark" itemprop="url">What I Think About When I Think About Voting</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2023-11-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2023-11-01T00:01:31-04:00" itemprop="datePublished" title="Wednesday, November 1, 2023, 12:01 am">November 1, 2023</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2023/" rel="category tag">2023</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-social-sciences/" rel="category tag">Math and Social Sciences</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/sarah-wolff/" rel="category tag">Sarah Wolff</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/persi-diaconis/" rel="tag">persi diaconis</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/representation-theory/" rel="tag">representation theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/voting/" rel="tag">voting</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2023/11/01/what-i-think-about-when-i-think-about-voting/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>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&hellip; What I Think About When I Think About Voting Sarah Wolff Denison University It’s November. Here in Ohio, that means cozy<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2023/11/01/what-i-think-about-when-i-think-about-voting/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1806" class="entry author-uwhitcher post-1806 post type-post status-publish format-standard has-post-thumbnail category-112 category-discrete-math-and-combinatorics category-joseph-malkevitch category-math-and-technology tag-error-correcting-codes archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="288"><a href="https://mathvoices.ams.org/featurecolumn/2023/10/01/correcting-errors/" class="entry-featured-img-link"><img width="690" height="288" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Feature Column" itemscope="" decoding="async" srcset="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1 690w, https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?zoom=2&amp;resize=690%2C288&amp;ssl=1 1380w" sizes="(max-width: 690px) 100vw, 690px" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2023/10/01/correcting-errors/" rel="bookmark" itemprop="url">Correcting Errors</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2023-10-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2023-10-01T00:01:27-04:00" itemprop="datePublished" title="Sunday, October 1, 2023, 12:01 am">October 1, 2023</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2023/" rel="category tag">2023</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/joseph-malkevitch/" rel="category tag">Joseph Malkevitch</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-technology/" rel="category tag">Math and Technology</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/error-correcting-codes/" rel="tag">error correcting codes</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2023/10/01/correcting-errors/#comments" class="comments-link" itemprop="discussionURL">1 Comment</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Who might have realized that when the mathematics community studied the properties of cubes, they might be used in error correction technology? Correcting Errors Joe Malkevitch York College (CUNY) Introduction Humans sometimes make errors. Perhaps you have been sloppy with a calculation on a mathematics examination. You made an error.<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2023/10/01/correcting-errors/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1689" class="entry author-uwhitcher post-1689 post type-post status-publish format-standard has-post-thumbnail category-112 category-bill-casselman category-discrete-math-and-combinatorics tag-tilings archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="288"><a href="https://mathvoices.ams.org/featurecolumn/2023/06/01/hat-tricks/" class="entry-featured-img-link"><img width="690" height="288" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Feature Column" itemscope="" decoding="async" srcset="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?resize=690%2C288&amp;ssl=1 690w, https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2024/07/cropped-FC1380x500x2.png?zoom=2&amp;resize=690%2C288&amp;ssl=1 1380w" sizes="(max-width: 690px) 100vw, 690px" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2023/06/01/hat-tricks/" rel="bookmark" itemprop="url">Hat Tricks</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2023-06-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2023-06-01T00:01:41-04:00" itemprop="datePublished" title="Thursday, June 1, 2023, 12:01 am">June 1, 2023</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2023/" rel="category tag">2023</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/bill-casselman/" rel="category tag">Bill Casselman</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/tilings/" rel="tag">tilings</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2023/06/01/hat-tricks/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Up until recently, all known aperiodic tilings used a minimum of two shapes, and it has long been a major problem to find a tiling that uses just one. Quite recently this problem has been solved, although only with a qualification&#8230; Hat Tricks Bill Casselman University of British Columbia &#8220;But<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2023/06/01/hat-tricks/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1393" class="entry author-daustin post-1393 post type-post status-publish format-standard category-4 category-david-austin category-discrete-math-and-combinatorics category-probability-and-statistics category-uncategorized tag-cryptography tag-gerrymandering tag-markov-chains tag-persi-diaconis archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/" rel="bookmark" itemprop="url">Decoding, Gerrymanders, and Markov Chains</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-11-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/daustin/" title="Posts by David Austin" rel="author" class="url fn n" itemprop="url"><span itemprop="name">David Austin</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-11-01T00:01:12-04:00" itemprop="datePublished" title="Tuesday, November 1, 2022, 12:01 am">November 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/david-austin/" rel="category tag">David Austin</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/uncategorized/" rel="category tag">Uncategorized</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/cryptography/" rel="tag">cryptography</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/gerrymandering/" rel="tag">gerrymandering</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/markov-chains/" rel="tag">Markov chains</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/persi-diaconis/" rel="tag">persi diaconis</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Decoding, Gerrymanders, and Markov Chains David Austin Grand Valley State University In 2009, crypto miner James Howells of southern Wales mistakenly threw away a hard drive containing 8,000 bitcoins. That&#8217;s over $100 million even in today&#8217;s sinking crypto landscape. Thirteen years later, Howells has a plan, backed by venture capital,<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1291" class="entry author-uwhitcher post-1291 post type-post status-publish format-standard has-post-thumbnail category-4 category-algebra-and-number-theory category-discrete-math-and-combinatorics category-ursula-whitcher tag-fields-medal tag-lattices-groups tag-maryna-viazovska tag-sphere-packing archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/" rel="bookmark" itemprop="url">Eight-dimensional spheres and the exceptional $E_8$</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-09-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-09-01T00:01:01-04:00" itemprop="datePublished" title="Thursday, September 1, 2022, 12:01 am">September 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/ursula-whitcher/" rel="category tag">Ursula Whitcher</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/fields-medal/" rel="tag">Fields medal</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/lattices-groups/" rel="tag">lattices (groups)</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/maryna-viazovska/" rel="tag">Maryna Viazovska</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/sphere-packing/" rel="tag">sphere packing</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>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 that<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-920" class="entry author-uwhitcher post-920 post type-post status-publish format-standard has-post-thumbnail category-4 category-discrete-math-and-combinatorics category-math-and-the-sciences category-ursula-whitcher tag-adinkras tag-physics tag-supersymmetry archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/" rel="bookmark" itemprop="url">Designing supersymmetry</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-05-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-05-01T00:01:03-04:00" itemprop="datePublished" title="Sunday, May 1, 2022, 12:01 am">May 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-the-sciences/" rel="category tag">Math and the Sciences</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/ursula-whitcher/" rel="category tag">Ursula Whitcher</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/adinkras/" rel="tag">Adinkras</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/physics/" rel="tag">physics</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/supersymmetry/" rel="tag">supersymmetry</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Studying supersymmetry in physically realistic situations requires a tremendous amount of physical and mathematical sophistication. We&#8217;re going to simplify as much as possible: all the way down to zero spatial dimensions! Designing supersymmetry Ursula Whitcher Mathematical Reviews (AMS) Mathematicians and physicists both love symmetry, but depending on who you&#8217;re talking<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-897" class="entry author-uwhitcher post-897 post type-post status-publish format-standard has-post-thumbnail category-4 category-discrete-math-and-combinatorics category-joseph-malkevitch tag-euclidean-geometry tag-polytopes-and-polyhedra archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/" rel="bookmark" itemprop="url">Geometric Decompositions</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-04-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-04-01T00:01:02-04:00" itemprop="datePublished" title="Friday, April 1, 2022, 12:01 am">April 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/joseph-malkevitch/" rel="category tag">Joseph Malkevitch</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/euclidean-geometry/" rel="tag">Euclidean geometry</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/polytopes-and-polyhedra/" rel="tag">polytopes and polyhedra</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>A remarkable theorem involving decompositions is that if one has two plane simple polygons of the same area, it is possible to decompose either of the polygons into polygonal pieces that can be reassembled to form the other polygon&#8230; Geometric Decompositions Joe Malkevitch York College (CUNY) Introduction When looking at<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-653" class="entry author-uwhitcher post-653 post type-post status-publish format-standard has-post-thumbnail category-4 category-discrete-math-and-combinatorics category-tamsyn-morrill tag-chess tag-generating-functions archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/01/01/rook-polynomials/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/01/01/rook-polynomials/" rel="bookmark" itemprop="url">Rook Polynomials: A Straight-Forward Problem</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-01-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-01-01T00:01:31-05:00" itemprop="datePublished" title="Saturday, January 1, 2022, 12:01 am">January 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/tamsyn-morrill/" rel="category tag">Tamsyn Morrill</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/chess/" rel="tag">chess</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/generating-functions/" rel="tag">generating functions</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/01/01/rook-polynomials/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Rook Polynomials: A Straight-Forward Problem For an integer $k$, is it possible to place $k$ rooks on a chess board so that no piece sits on the same row or column as any others? We wouldn’t want them stepping on each others’ toes. Tamsyn Morrill Trine University In the game<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/01/01/rook-polynomials/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-553" class="entry author-uwhitcher post-553 post type-post status-publish format-standard has-post-thumbnail category-3 category-algebra-and-number-theory category-discrete-math-and-combinatorics category-joseph-malkevitch tag-partitions tag-primes archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2021/10/01/decomposition/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2021/10/01/decomposition/" rel="bookmark" itemprop="url">Decomposition</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2021-10-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2021-10-01T00:01:14-04:00" itemprop="datePublished" title="Friday, October 1, 2021, 12:01 am">October 1, 2021</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2021/" rel="category tag">2021</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/joseph-malkevitch/" rel="category tag">Joseph Malkevitch</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/partitions/" rel="tag">partitions</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/primes/" rel="tag">primes</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2021/10/01/decomposition/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>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 thing<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2021/10/01/decomposition/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --></div><div class="clearfix"></div> </div><!-- #content-wrap --> </main><!-- #content --> <aside id="sidebar-primary" class="sidebar sidebar-primary hgrid-span-4 layout-wide-right " role="complementary" itemscope="itemscope" itemtype="https://schema.org/WPSideBar"> <div class=" sidebar-wrap theiaStickySidebar"> <section id="search-2" class="widget widget_search"><div class="searchbody"><form method="get" class="searchform" action="https://mathvoices.ams.org/featurecolumn/" ><label class="screen-reader-text">Search</label><i class="fas fa-search"></i><input type="text" class="searchtext" name="s" placeholder="Type Search Term &hellip;" value="" /><input type="submit" class="submit" name="submit" value="Search" /><span class="js-search-placeholder"></span></form></div><!-- /searchbody --></section><section id="blog_subscription-2" class="widget widget_blog_subscription jetpack_subscription_widget"><h3 class="widget-title"><span>Subscribe to Feature Column via Email</span></h3> <div class="wp-block-jetpack-subscriptions__container"> <form action="#" method="post" accept-charset="utf-8" id="subscribe-blog-blog_subscription-2" data-blog="202620863" data-post_access_level="everybody" > <div id="subscribe-text"><p>Enter your email address to subscribe to Feature Column and receive notifications of new posts by email.</p> </div> <p id="subscribe-email"> <label id="jetpack-subscribe-label" class="screen-reader-text" for="subscribe-field-blog_subscription-2"> Email Address </label> <input type="email" name="email" required="required" value="" id="subscribe-field-blog_subscription-2" placeholder="Email Address" /> </p> <p id="subscribe-submit" > <input type="hidden" name="action" value="subscribe"/> <input type="hidden" name="source" value="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/"/> <input type="hidden" name="sub-type" value="widget"/> <input type="hidden" name="redirect_fragment" value="subscribe-blog-blog_subscription-2"/> <input type="hidden" id="_wpnonce" name="_wpnonce" value="263d9746ba" /><input type="hidden" name="_wp_http_referer" value="/featurecolumn/category/discrete-math-and-combinatorics/" /> <button type="submit" class="wp-block-button__link" name="jetpack_subscriptions_widget" > Subscribe </button> </p> </form> </div> </section><section id="block-3" class="widget widget_block"><div class="wp-block-group"><div class="wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow"><h2 class="wp-block-heading">Recent Posts</h2><ul class="wp-block-latest-posts__list wp-block-latest-posts"><li><a class="wp-block-latest-posts__post-title" href="https://mathvoices.ams.org/featurecolumn/2024/12/01/capturing-the-invisible-hopping-rabbit/">Capturing the Invisible Hopping Rabbit</a></li> <li><a class="wp-block-latest-posts__post-title" href="https://mathvoices.ams.org/featurecolumn/2024/11/01/strung-out-on-automorphic-forms/">Strung Out on Automorphic Forms</a></li> <li><a class="wp-block-latest-posts__post-title" href="https://mathvoices.ams.org/featurecolumn/2024/10/01/people-and-computers-compared/">People and Computers Compared</a></li> <li><a class="wp-block-latest-posts__post-title" href="https://mathvoices.ams.org/featurecolumn/2024/09/01/payoffs-and-strategies/">Payoffs and strategies</a></li> <li><a class="wp-block-latest-posts__post-title" href="https://mathvoices.ams.org/featurecolumn/2024/08/01/welcome-to-the-fold/">Welcome to the Fold</a></li> </ul></div></div></section><section id="categories-2" class="widget widget_categories"><h3 class="widget-title"><span>Categories</span></h3> <ul> <li class="cat-item cat-item-2"><a href="https://mathvoices.ams.org/featurecolumn/category/2020/">2020</a> </li> <li class="cat-item cat-item-3"><a href="https://mathvoices.ams.org/featurecolumn/category/2021/">2021</a> </li> <li class="cat-item cat-item-4"><a href="https://mathvoices.ams.org/featurecolumn/category/2022/">2022</a> </li> <li class="cat-item cat-item-112"><a href="https://mathvoices.ams.org/featurecolumn/category/2023/">2023</a> </li> <li class="cat-item cat-item-147"><a href="https://mathvoices.ams.org/featurecolumn/category/2024/">2024</a> </li> <li class="cat-item cat-item-5"><a href="https://mathvoices.ams.org/featurecolumn/category/columnists/adam-a-smith/">Adam A. 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