SEMINARS, OPEN NEIGHBORHOOD
April 10, 2024 4:30 pmI will begin by reviewing the story of the flexibility of singularities of smooth mappings, from the immersion theory of Smale-Hirsch to the Igusa-Lurie contractibility of the space of framed...
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SEMINARS, OPEN NEIGHBORHOOD
March 27, 2024 4:30 pmChat GPT, AlphaGo, and AlphaGeometry have attracted a lot of attention recently. Computers are getting better and better at problem solving. But what of problem posing? Can computers help us...
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SEMINARS, OPEN NEIGHBORHOOD
February 21, 2024 4:00 pmA common theme in the field of low-dimensional topology is to study embedded surfaces in 4-manifolds. Knotted surfaces can be used to distinguish different 4-dimensional objects or to create new...
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SEMINARS, OPEN NEIGHBORHOOD
February 7, 2024 4:30 pmDeep learning has had transformative impacts in many fields including computer vision, computational biology, and dynamics by allowing us to learn functions directly from data. However, there remain many domains...
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SEMINARS, OPEN NEIGHBORHOOD
November 15, 2023 4:30 pmThe subject of knot theory concerns the phenomena of "knotting", "tangling", and "braiding", investigated from a mathematical point of view. I'll discuss a family of tangles called rational tangles and...
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SEMINARS, OPEN NEIGHBORHOOD
November 1, 2023 4:30 pmThe theory of "random surfaces" has emerged in recent decades as a significant field of mathematics, lying somehow at the interface between geometry, probability, combinatorics, analysis and mathematical physics. Just...
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SEMINARS, OPEN NEIGHBORHOOD
October 18, 2023 4:30 pmIn many mathematical scenarios, the conventional notion of strict equality doesn't hold. When we work with algebraic operations in such contexts, we need special notions to encode addition, multiplication, and...
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SEMINARS, OPEN NEIGHBORHOOD
October 4, 2023 4:30 pmIn 1990, West introduced the stack-sorting map, a combinatorially-defined operator on the set of permutations of size n that serves as a deterministic analogue of Knuth's stack-sorting machine. I will...
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SEMINARS, OPEN NEIGHBORHOOD
September 20, 2023 4:30 pmThis talk is an elementary account of what is at first a surprising application of stable homotopy theory to theoretical physics. No specialized background is required; the storyline is the...
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SEMINARS, OPEN NEIGHBORHOOD
April 19, 2023 4:30 pmWhat do you picture when you think of exp(z), a group of 2x2 matrices, a smooth map, or infinity itself? In this talk we will discuss the practice of mathematical...
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