25-Year-Old Solves Decades Old Math Problem

Listen to 100s of Science Documentaries on Turing for Free. Check out the App at iOS: https://apps.apple.com/in/app/the-turing-app/id6752724106 Android: https://play.google.com/store/apps/details?id=com.theturingapp.turing&hl=en or listen at https://theturingapp.com ----------- TIMESTAMPS: 00:00 - The Impossible Problem in Schauder Theory 02:30 - How Cristiana De Filippis Thinks: Seeing Simplicity 06:19 - Early Life in Italy & Moving to Oxford 12:43 - Major Breakthroughs & EMS Prize 16:37 - Life Outside Math: Horses, Running, and Perspective Learn how Cristiana De Filippis solved an impossible 20-year-old math problem in Schauder theory as a first-year PhD student. In this video, we break down her journey from southern Italy to Oxford, her genius approach to partial differential equations, and how she tamed nonuniformly elliptic equations. In this video, we dive into the inspiring story of Cristiana De Filippis, a mathematician who defied expert advice to tackle a dormant problem that had stumped senior professors for decades. Whether you are a student, a math enthusiast, or someone interested in the human side of major scientific breakthroughs, this story provides an incredible look into theoretical mathematics. We discuss key concepts in partial differential equations (PDEs), mathematical analysis, regularity theory, and variational problems. #fieldsmedal #womeninmath #womeninscience #vivaitalia ----------- Turing is a leading publisher of popular science books. Check out our collection on Amazon: https://www.amazon.com/stores/Turing-Editorial-Team/author/B0GVXKMGGJ/allbooks?ccs_id=4637a82d-44e3-49b7-92d6-ed1aec5fe06b Apple Books: https://books.apple.com/us/author/turing-editorial-team/id1895369034?see-all=books ---------------- Check out our Series of Weekly Podcasts On Wonders of Science Adventures into Chemistry Spotify: https://open.spotify.com/show/0kqIbkcrhuzFPf5rgRDPkQ?si=88693d8c97934fc6 Apple Podcasts: https://podcasts.apple.com/us/podcast/adventures-into-chemistry/id1801975450 Beyond Proof: Stories in Maths Spotify: https://open.spotify.com/show/0EJXj5CF6wqE79WTwpYKGr?si=a429edd3979b4429 Apple Podcasts: https://podcasts.apple.com/us/podcast/beyond-proof-stories-in-mathematics/id1881693625 Mavericks of Science: Meet the most influential and groundbreaking contemporary researchers Spotify: https://open.spotify.com/show/48c6VqsI8vtH9D2W5MYXfG?si=acc3565470d246ef Apple Podcasts: https://podcasts.apple.com/us/podcast/mavericks-of-science/id1875688838 Million Dollar Problems of Mathematics: Legendary, unsolved puzzles that have baffled the world's sharpest minds, using Everyday Language Spotify: https://open.spotify.com/show/1dHIDxANHtjJtVzITrOwYM?si=8e7b302f198548ac Apple Podcasts: https://podcasts.apple.com/us/podcast/million-dollar-problems-of-mathematics/id1796668358 Mysteries of the Universe: Questions that keep astrophysicists awake at night Spotify: https://open.spotify.com/show/53cFFxbShCGjYBKFFUayNq?si=d47ed62f389c4f8b Apple Podcasts: https://podcasts.apple.com/us/podcast/what-would-worlds-largest-telescope-find/id1796678795?i=1000768443430 Planet Earth: Science of Climate and Earth Spotify: https://open.spotify.com/show/4HRLQiQJ6GUgJs6wotO3xn?si=b99ce74037534f28 Apple Podcasts: https://podcasts.apple.com/us/podcast/planet-earth/id1886256155 Quarks to Cosmos: Journey Inside the Atom to the Far End of Cosmos Spotify: https://open.spotify.com/show/0OtvBwq0GA0SGijgF2GZYv?si=4a2d444aadd94121 Apple Podcasts: https://podcasts.apple.com/us/podcast/quarks-to-cosmos/id1809992176 Realm of Quantum Mechanics Spotify: https://open.spotify.com/show/3ESCY4B2HB03ZpZJB5J6Y9?si=462d90847a4a4077 Apple Podcasts: https://podcasts.apple.com/us/podcast/realm-of-quantum-mechanics/id1796673349 The Future of Medicine Spotify: https://open.spotify.com/show/7ioXdgkNuHThPc8p1DRHxk?si=ebcbfe9b417f48bb Apple Podcasts: https://podcasts.apple.com/us/podcast/the-future-of-medicine/id1793412323 The Science of Us: Biology, neuroscience, and psychology to unpack the machinery behind our daily experiences Spotify: https://open.spotify.com/show/28qepKUu83gGzPXtst5MeT?si=2c2a7aec570d4a54 Apple Podcasts: https://podcasts.apple.com/us/podcast/the-science-of-us/id1887044303 What the Tech: Foundational math and engineering underneath The Frontier Tech Spotify: https://open.spotify.com/show/41I3bea5v66iKTZdOglG0R?si=279f4848e6bd46eb Apple Podcasts: https://podcasts.apple.com/us/podcast/what-the-tech/id1887925458 Wild Origins: Nature, Animals and Us Spotify: https://open.spotify.com/show/0sdLh1dp4jT7WgGNSvzyVG?si=aa15e34f827446ab Apple Podcasts: https://podcasts.apple.com/us/podcast/wild-origins/id1881725041