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My thoughts on beg a gay mathematician.

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ON BEG A GAY MATHEMATICIAN

Mathematics partments Canada have a poor rerd on equy, diversy and clivy says a gay mathematics profsor. Here he speaks about the hopeful chang he se g. * gay in math *

There are only a handful of gay, bisexual or lbian mathematics profsors Canada that I know.

I’m a gay mathematician. Up until now, I’ve found the silence on EDI mathematics, pecially on lbian, gay, bisexual, trans issu, afeng.

ON BEG A GAY MATHEMATICIAN RX

* gay in math *

First, to make a broar pot, I start wh some shockg statistics related to gay youth. Out of 195 untri the world, homosexualy is crimalized 72 of them.

Natnal survey, published last year the Journal of Homosexualy and wrten about last year Wired magaze. Other anizatns foc more broadly STEM, such as LGBT STEM, Natnal Organizatn of Gay and Lbian Scientists and Technil Profsnals and Out Science, Technology, Engeerg, and Mathematics.

There’s Alan Turg, of urse, and there are theori that maybe Leonardo Da Vci was gay or that perhaps Florence Nightgale was a lbian, but no one really knows for sure.

ON ‘THAT’S SO GAY’ AND LEARNG MATH

Lookg back I published the blog post On beg a gay mathematician June 2017. Two years later, I've had a generally posive reactn to the post, and I amplified my queer posive msage out to the world through my wrg and advocy. I've been on a few diversy-type panels and teracted, eher person… * gay in math *

Ey RiehlEy Riehl is an Associate Profsor of Mathematics at John Hopks Universy Baltimore, specialisg tegory theory and homotopy theory.

DESANTIS WARNS THAT MATH MAK CHILDREN GAY

Mathematics is mathematics, after all— isn’t male or female, whe or black, or gay or straight. Growg up gay ral Ontar durg the 1980s was an isolatg experience culturally, although did give me lots of time to thk and helped foster my creativy. I had two queer iends (one gay the other lbian) and we kept to ourselv and rarely talked about our sexualy wh fay or iends for fear of rejectn.

I knew of one gay profsor at the Universy: the late Jam Stewart, the thor of the famo Calcul text. Beg gay often volv so many of the small feats, the small let downs, that be part of our everyday experience.

A MAN HAS ED A MATHEMATIL FORMULA TO PROVE EVERYONE IS GAY — SORT OF

Beg gay isn’t only about who you love. While lecturg do the dience thk ls of me if they know I am gay?

It’s a kd of eternal doubt that you rry as a gay person. When I was an assistant profsor, I heard that one of my partmental lleagu was unfortable wh my gayns. As a gay person, I hope one day the LGBT muny will be fully accepted amia and society, and we n learn not to self-ed ourselv so much.

I published the blog post On beg a gay mathematician June 2017. I heard om a reliable source that a Canadian feral bet mister was told by a member of parliament that gays don’t belong the hard scienc.

CREATIVE MATHSUBSCRIBESIGN {"@NTEXT":","@TYPE":"NEWSARTICLE","URL":","MAENTYOFPAGE":","HEADLE":"MATH IS GAY","SCRIPTN":"HOW TEGORY THEORY IS QUEERG MATHEMATICS","IMAGE":[{"@TYPE":"IMAGEOBJECT","URL":"}],"DATEPUBLISHED":"2022-06-30T22:55:26+00:00","DATEMODIFIED":"2022-06-30T22:55:26+00:00","ISACCSIBLEFORFREE":TE,"THOR":[{"@TYPE":"PERSON","NAME":"NATHAN ONG","URL":","SCRIPTN":"ELEMENTAL MATHEMAGICIAN \UD83D\UDD25\UD83E\UDEA8\UD83D\UDCA7\UD83C\UDF43\UD83E\UDE84","INTIFIER":"ER:88373442","SAMEAS":["],"IMAGE":{"@TYPE":"IMAGEOBJECT","NTENTURL":","THUMBNAILURL":"}}],"PUBLISHER":{"@TYPE":"ORGANIZATN","NAME":"CREATIVE MATH","URL":","SCRIPTN":"IF APPLIED MATH IS REAL WRG, PURE MATH IS POETRY.\N\NLET'S GET ABSTRACT--LET'S GET CREATIVE \UD83D\UDCA1","TERACTNSTATISTIC":{"@TYPE":"INTERACTNCOUNTER","NAME":"SUBSCRIBERS","TERACTNTYPE":","ERINTERACTNCOUNT":1},"INTIFIER":"PUB:868430","LOGO":{"@TYPE":"IMAGEOBJECT","URL":","NTENTURL":","THUMBNAILURL":"},"IMAGE":{"@TYPE":"IMAGEOBJECT","URL":","NTENTURL":","THUMBNAILURL":"},"SAMEAS":["]}}SHARE THIS POSTMATH IS COPY LKFACEBOOKEMAILNOTOTHERMATH IS GAY

When you are openly gay, you e out every day, every time you reference your personal life.

Browsg through the Teachg Tolerance archiv, I recently me across an olr blog post on movg beyond the phrase “That’s so gay. When a math problem proved difficult to solve, she often rpond to my explanatns wh “That’s so gay, ” rated om time to time wh other choice remarks. I began to take a firmer stance, explag that g the word gay a disparagg way is disrpectful and hurtful to everyone, and particularly to LGBT people.

A MATH TEXTBOOK HAS A QUTN FEATURG A GAY UPLE AND PEOPLE LOVE

TALLAHASSEE (The Borowz Report)—Proposg a sweepg ban on math Florida’s classrooms, Governor Ron DeSantis asserted that “the latt rearch” dit that “math mak children gay.

Everyone’s gay, acrdg to this equatn (Pexels). A post on Redd which maths to ‘prove’ that straight partners are gay has gone viral. Reddors certaly seem to agree, wh the post om Alexanr — whose ername is makorrga — attractg around 19, 500 upvot sce was submted to the SudnlyGay subredd.

If you have two men a relatnship, you have one gay uple. Therefore, a member of that relatnship is half a gay uple.

GAY MEN 'LS LIKELY' TO HAVE GREE SCIENCE, TECH, ENGEERG OR MATHS

A happy gay uple (Amir Levy/Getty). Alexanr explas that, if we hold the prev sums to be te, “1 woman + 1 man = 1/2 gay + 1/2 gay = gay. Therefore, he argu that “straight upl are gay.

*BEAR-MAGAZINE.COM* GAY IN MATH

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class="available-ntent"><div dir="to" class="body markup"><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="306" height="33.5" data-attrs="{"src":"" class="sizg-normal" alt srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" fetchprry="high" /></picture><div></div></div></a></figure></div><p>Math is queer, and not jt bee of puns volvg homos.</p><p>But before we talk about that, let’s get a broar picture of mathematics self.</p><p>Image mathematics to be a nse fort. Each tree is a problem or object that ptur a rpective field (topologil spac topology, sets set theory, groups and rgs algebra, and so forth). To study the objects is to look at the var ponents that make up the tree, often wh a magnifyg glass.</p><p>There’s an exprsn that turns up monly among math nversatnalists:</p><blockquote><p><em>Can’t see the fort for the tre.</em></p></blockquote><p>When you’re so zoomed , even if you are borrowg techniqu om lookg at other tre—you miss the bigger picture.</p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="352" height="198" data-attrs="{"src":" Dora the Explorer Season 8 Episo 16: Dora's Night Light Adventure - Full show on Paramount Pl","tle":null,"type":null,"href":null,"belowTheFold":false,"topImage":false,"ternalRedirect":null}" class="sizg-normal" alt="Watch Dora the Explorer Season 8 Episo 16: Dora's Night Light Adventure - Full show on Paramount Pl" tle="Watch Dora the Explorer Season 8 Episo 16: Dora's Night Light Adventure - Full show on Paramount Pl" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /></picture><div></div></div></a><figptn class="image-ptn">Dora’s Night Light Adventure</figptn></figure></div><p>Category theory is seeg the fort of mathematics self— looks at ways which the tre are related to one another: the roots that nnect and tertwe and the on that don’t, the patterns or lack of among the stcture, shap, and twists between tre.</p><p>Equipped wh a picture, let’s now troduce some more formal statements to enpsulate tegory theory a basic way:</p><p>Rell that a functn tak an put to an output. A functn is a directnal relatnship— tells how thgs the put relate to thgs the output (but not necsarily the other way around unls the functn satisfi certa properti).</p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="199" height="95.46125461254613" data-attrs="{"src":" transformed functns wh arrows - mathrecreatn","tle":null,"type":null,"href":null,"belowTheFold":te,"topImage":false,"ternalRedirect":null}" class="sizg-normal" alt="unrstandg transformed functns wh arrows - mathrecreatn" tle="unrstandg transformed functns wh arrows - mathrecreatn" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div></div></div></a><figptn class="image-ptn">the functn f relat x to y</figptn></figure></div><p><span>A </span><strong>morphism</strong><span> is a generalized ia of a functn which clus the relatn of ‘functn’ unr s umbrella—more formally, ’s a stcture-prervg mappg (relatn) om one mathematil stcture to another of the same kd.</span></p><p>Some exampl of morphisms and the objects they relate:</p><ul><li><p>Functns and sets</p></li><li><p>Lear transformatns and vector spac</p></li><li><p>Contuo functns and topologil spac</p></li></ul><p><span>A </span><strong>tegory</strong><span> pris of two thgs: the objects of the tegory and the morphisms (relatns/mappgs) which relate two objects (stead of </span><em>put</em><span> and </span><em>output</em><span>, objects are lled </span><em>source</em><span> and </span><em>target</em><strong>).</strong></p><p>In fact, those pots above each make up their own tegory: the tegory of sets, the tegory of vector spac, the tegory of tops (ugh).</p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="176" height="176" data-attrs="{"src":" theory - Wikipedia","tle":"Category theory - Wikipedia","type":null,"href":null,"belowTheFold":te,"topImage":false,"ternalRedirect":null}" class="sizg-normal" alt="Category theory - Wikipedia" tle="Category theory - Wikipedia" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div></div></div></a><figptn class="image-ptn">A tegory wh objects X, Y, Z and morphisms f and g</figptn></figure></div><p>Now we ask: what if we looked at morphisms between different tegori themselv?</p><p><span>A </span><strong>functor</strong><span> is a morphism between two tegori, mappg objects and morphisms one tegory to those another—this is how we see the fort. </span></p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="238" height="153.2125" data-attrs="{"src":" wh Functors. In our last post we provid some… | by Mar Perone | Statebox","tle":null,"type":null,"href":null,"belowTheFold":te,"topImage":false,"ternalRedirect":null}" class="sizg-normal" alt="Fun wh Functors. In our last post we provid some… | by Mar Perone | Statebox" tle="Fun wh Functors. In our last post we provid some… | by Mar Perone | Statebox" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div></div></div></a><figptn class="image-ptn"><span>Given tegori </span><em>C</em><span> and </span><em>D</em><span>, </span><strong>F</strong><span> is a functor such that </span><strong>F</strong><span>(</span><em>C</em><span>) = </span><em>D.</em></figptn></figure></div><p>We saw morphisms reprented as arrows—now we draw more arrows (dotted) between those arrows as well as their objects.</p><p>But let’s get even more meta:</p><p><span>A </span><strong>natural transformatn</strong><span> is a morphism between two functors. Practilly, provis a way to transform a functor to another while prervg posnal stctur of the morphisms. In other words, we n make a relatnship look like another and e to fd that they are really not that different (sound faiar?)</span></p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="296" height="193.74175824175825" data-attrs="{"src":"" class="sizg-normal" alt srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div></div></div></a><figptn class="image-ptn">Y homo</figptn></figure></div><p>Category theory origally veloped as a tool to e problems, but as grew as a field, enabled mathematicians to bridge realms prevly thought to be unnnected.</p><p>Set theory abstracts llectns of objects (lled elements), topology abstracts space, rgs abstract arhmetic, and so on. If mathematics abstracts objects and properti about those objects, tegory theory abstracts abstractn self—such that is lled “the math of math.”</p><p>So strong is s power of abstractn that any mathematil statement n be exprsed tegory theory—while may end up beg overly technil and nvoluted, do show how powerful and exprsive tegory theory is.</p><div class="ptned-image-ntaer"><figure><a class="image-lk image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="414" height="227.47252747252747" data-attrs="{"src":"" class="sizg-normal" alt srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div></div></div></a><figptn class="image-ptn">A func-y diagram</figptn></figure></div><p>Powerful, exprsive, reimagative—’s why tegory theory, the math of math, is both radil and queer.</p><p><span>In </span><a href=" rel="nofollow ugc noopener">LGBTQ+Math Day</a><span>, mathematician Ey Riehl talked about her work tegory theory on “Contractibily as Uniquens” which she am as “queerg uniquens.”</span></p><p>Informally and very loosely, Riehl showed a way to rive uniquens a problem posed to lose .</p><p>Formally, Riehl looked at a fundamental group a topologil space, which is a group ma of all the loops startg and endg at a base pot—if we lose the rtrictn that the paths have to be loops, we also lose the abily to pose any arbrary pair of elements back to self.</p><p>She showed that unr certa ndns, such a posn n still fact be unique and associative (a property we want sce mak nice thgs happen). </p><p><span>One, two, skip a few and g ntractibily (a property where a space n be ntuoly ntracted to a pot) and tegory theory that generaliz higher dimensnal tegori, Riehl go on to rive uniquens om the fact, drawg om s robtns and power </span><em>exprsive form</em><span> even wh an inty-losg transformatn.</span></p><p>Inty and exprsn are paramount queerns—allegorilly, I see this as a triumph of queer inty mathematics.</p><div class="ptned-image-ntaer"><figure><a class="image-lk is-viewable-img image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="256" height="307.05413105413106" data-attrs="{"src":"" class="sizg-normal" alt srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div class="image-lk-expand"><svg xmlns=" width="16" height="16" viewBox="0 0 24 24" fill="none" stroke="#FFFFFF" stroke-width="2" stroke-lep="round" stroke-lejo="round" class="luci luci-maximize2"><polyle pots="15 3 21 3 21 9"></polyle><polyle pots="9 21 3 21 3 15"></polyle><le x1="21" x2="14" y1="3" y2="10"></le><le x1="3" x2="10" y1="21" y2="14"></le></svg></div></div></a><figptn class="image-ptn"><span>Chen Chen poem Dora Malech scrib as “</span><a href=" rel="nofollow ugc noopener">inty form</a><span>”</span></figptn></figure></div><p><strong>The Queer Categoril Agenda</strong></p><p>At the heart of tegory theory isn’t to tegorize thgs, but to tach om the ia of a fixed label on somethg and stead look at the ways relat, meangful or not, to everythg else.</p><p>Natural transformatns pture and abstract the trsic notns of transformative inty and morphic relatnships. Extensnally, tegory theory reimag the foundatns of what ed to be thought of as necsary mathematics— ways analogo to the work of reimagg the msag once thought of as necsary and fundamental for genr and sexualy.</p><p>It’s queer, mathematil work: g the power of relatn and exprsn to not only unravel, but honor difference amed through samens.</p><div class="ptned-image-ntaer"><figure><a class="image-lk is-viewable-img image2" target="_blank" href=" data-ponent-name="Image2ToDOM" rel="nofollow ugc noopener"><div class="image2-set"><picture><source type="image/webp" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" /><img src=" width="223" height="296.7680608365019" data-attrs="{"src":" MATH DISPLAY by Se wh Miss Gil | Teachers Pay Teachers","tle":null,"type":null,"href":null,"belowTheFold":te,"topImage":false,"ternalRedirect":null}" class="sizg-normal" alt="RAINBOW MATH DISPLAY by Se wh Miss Gil | Teachers Pay Teachers" tle="RAINBOW MATH DISPLAY by Se wh Miss Gil | Teachers Pay Teachers" srcset=" 424w, 848w, 1272w, 1456w" siz="100vw" loadg="lazy" /></picture><div class="image-lk-expand"><svg xmlns=" width="16" height="16" viewBox="0 0 24 24" fill="none" stroke="#FFFFFF" stroke-width="2" stroke-lep="round" stroke-lejo="round" class="luci luci-maximize2"><polyle pots="15 3 21 3 21 9"></polyle><polyle pots="9 21 3 21 3 15"></polyle><le x1="21" x2="14" y1="3" y2="10"></le><le x1="3" x2="10" y1="21" y2="14"></le></svg></div></div></a></figure></div></div></div><div class="visibily-check"></div><div class="post-footer"><div class="pencraft ontend-pencraft-Box-module__flexGrow--mx4xz ontend-pencraft-Box-module__ret--VfQY8 ontend-pencraft-Box-module__display-flex--ZqeZt ontend-pencraft-Box-module__flex-jtify-space-between--NvIcg ontend-pencraft-Box-module__flex-align-center--rSd6h ontend-pencraft-Box-module__flex-gap-16--TpblU ontend-pencraft-Box-module__paddg-y-16--ohCEm ontend-pencraft-Box-module__borr-top-tail-themed--e17yZ 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