Grad Student Cracks Open Math Theory Stuck for Decades

Listen to 100s of Science Documentaries on Turing for Free. Check out the App at iOS: https://apps.apple.com/in/app/the-tur... Android: https://play.google.com/store/apps/de... 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. ----------- Turing is a leading publisher of popular science books. Check out our collection on Amazon: https://www.amazon.com/stores/Turing-... Apple Books: https://books.apple.com/us/author/tur... ---------------- Check out our Series of Weekly Podcasts On Wonders of Science Adventures into Chemistry Spotify: https://open.spotify.com/show/0kqIbkc... Apple Podcasts: https://podcasts.apple.com/us/podcast... Beyond Proof: Stories in Maths Spotify: https://open.spotify.com/show/0EJXj5C... Apple Podcasts: https://podcasts.apple.com/us/podcast... Mavericks of Science: Meet the most influential and groundbreaking contemporary researchers Spotify: https://open.spotify.com/show/48c6Vqs... Apple Podcasts: https://podcasts.apple.com/us/podcast... 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/1dHIDxA... Apple Podcasts: https://podcasts.apple.com/us/podcast... Mysteries of the Universe: Questions that keep astrophysicists awake at night Spotify: https://open.spotify.com/show/53cFFxb... Apple Podcasts: https://podcasts.apple.com/us/podcast... Planet Earth: Science of Climate and Earth Spotify: https://open.spotify.com/show/4HRLQiQ... Apple Podcasts: https://podcasts.apple.com/us/podcast... Quarks to Cosmos: Journey Inside the Atom to the Far End of Cosmos Spotify: https://open.spotify.com/show/0OtvBwq... Apple Podcasts: https://podcasts.apple.com/us/podcast... Realm of Quantum Mechanics Spotify: https://open.spotify.com/show/3ESCY4B... Apple Podcasts: https://podcasts.apple.com/us/podcast... The Future of Medicine Spotify: https://open.spotify.com/show/7ioXdgk... Apple Podcasts: https://podcasts.apple.com/us/podcast... The Science of Us: Biology, neuroscience, and psychology to unpack the machinery behind our daily experiences Spotify: https://open.spotify.com/show/28qepKU... Apple Podcasts: https://podcasts.apple.com/us/podcast... What the Tech: Foundational math and engineering underneath The Frontier Tech Spotify: https://open.spotify.com/show/41I3bea... Apple Podcasts: https://podcasts.apple.com/us/podcast... Wild Origins: Nature, Animals and Us Spotify: https://open.spotify.com/show/0sdLh1d... Apple Podcasts: https://podcasts.apple.com/us/podcast...