David Mumford, Brown University, Providence, RI, and Harvard University, Cambridge, MA.
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Opening more eyes to mathematics: How to get middle school students to love formulas & triangles Explaining Grothendieck to non-mathematicians Are mathematical formulas beautiful? The history of mathematics: Pythagoras's rule The checkered history of algebra Multi-culutural math history in five slides ""Modern"" art/""modern"" math and the Zeitgeist Interlude: Intelligent design in Orion? AI, neuroscience, and consciousness: Parse trees are ubiquitous in thinking Linking deep learning and cortical functions Does/can human consciousness exist in animals and robots? And now, some bits of real math: Finding the rhythms of the primes Spaces of shapes and rogue waves An applied mathematician's foundations of math Coming to terms with the quantum: Quantum theory and the mysterious collapse Path integrals and quantum computing Nothing is simple in the real world: Wake up! One world or many? Spinoza: Euclid, ethics, time Thoughts on the future Author's bibliography Bibliography