How to Get Information About the Little Bits That Go Into Making That Composite Whole

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The thesis is at the inner face of algebra and statistics. So that kind of gives us the feeling that we're really mingling these two worlds. If i want to talk about something, you know, i have a composite whole, but how do i get information about the little bits that go into making that larger thing? There's a way to do this. And e fvalato, directally look at your thesis. Ha, ha, ha. This, this, the answer to this actually is really at the heart, at the heart of the thesis. But it might take a little bit of time to explain so on ther though, hope the listeners are ready.

Mathematics is often thought of as the pinnacle of crisp precision: the square of the hypotenuse of a right triangle isn’t “roughly” the sum of the squares of the other two sides, it’s exactly that. But we live in a world of messy imprecision, and increasingly we need sophisticated techniques to quantify and deal with approximate statistical relations rather than perfect ones. Modern mathematicians have noticed, and are taking up the challenge. Tai-Danae Bradley is a mathematician who employs very high-level ideas — category theory, topology, quantum probability theory — to analyze real-world phenomena like the structure of natural-language speech. We explore a number of cool ideas and what kinds of places they are leading us to.

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Tai-Danae Bradley received her Ph.D. in mathematics from the CUNY Graduate Center. She is currently a research mathematician at Alphabet, visiting research professor of mathematics at The Master’s University, and executive director of the Math3ma Institute. She hosts an explanatory mathematics blog, Math3ma. She is the co-author of the graduate-level textbook Topology: A Categorical Approach.

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