When you’re asked to consider a non-orientable hyper-dodeca-almost-icosa-oids in the 16 dimensional space with a metric nobody remembers defining, well, you’ll be in the world of pure mathematics. But when someone suddenly asks you to add 57 to 89, and then divide that by 7.5 in your head, you’ll probably panic for a second. And

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The general public has literally no idea what pure mathematics is. I mean zero. And in my opinion, that’s a problem, because not only does pure mathematics itself end up being super misunderstood and unappreciated, but the people who study it are looked at as weird, when they’re actually some of the most intelligent people

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Quitting my PhD was one the BEST decisions I ever made in my life. I’ve never been happier since. But, why would someone leave a PhD in pure mathematics? I mean, isn’t it the pinnacle of knowledge and prestige? I’m gonna share 3 reasons for why I did it, and my hunch tells me that

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Today, I will share with you my favorite strategy for problem-solving. Just think about it: When we sit down to solve a mathematical problem, especially one that is difficult we usually tend to find ourselves looking through our huge, mental world of logic, symmetries, definitions, theorems, and so on. But our brains have two ways

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If you’ve studied math or physics (or if you’ve ever done serious research in these areas) there’s a pretty high chance that, at some point, you’ve sat in front of a page full of symbols, completely lost, just thinking to yourself: “Maybe I’m just not smart enough for this. Maybe this is too much for

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Taking pride in mathematics is a force that is very subtle. It’s something that can drive you forward if you use it to build your personal sense of identity as a mathematician and it’s something that gives you self-confidence. But, if you take it to the extreme, it can become the very thing that actually

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If we look back at the biggest breakthroughs in science or math, they tend to come from people who are willing to challenge current beliefs. And this isn’t done out of pure arrogance (although that does play a role sometimes), but mostly because this person is thinking outside of the box.  In my Bachelor’s I

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If all of the math books in the entire world were burned, and all of the digital information about mathematics was deleted, and all of the mathematicians suddenly died in an apocalyptic event… but you could do just one last thing: if you had to decide which are the 5 most fundamental fields of Pure

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In the world of STEM, math has a really strong psychological weight. And it’s not just about the fact that math is hard in itself, but in many cases, we see math as a status symbol. Most people come to the conclusion that being “good at math” is the same thing as being “smart”. So

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What is pure math, really? Even though some people might say it’s the language the universe is written in, at its very core, pure math studies mathematical concepts which are independent of any application. Applied math, for example, is driven by solving practical problems in immediate fields like physics and engineering. But pure math is

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