Next Dimension Geometry
Jordan Ellenberg says geometry isn’t about shapes. It’s about distance. In a tour of geometry far stranger than anything from high school, the mathematician breaks down how our ancient understanding of triangles evolved into the invisible architecture behind AI, family trees, and human relationships. Minds expand as we ask why the "closeness" between two ideas is a literal angle in a vast multi-dimensional space, and what can a 19th-century novella about a talking square teach us about worlds we'll never see? Learn more about NOVA and visit our YouTube channel.--------------------------Guest Bio:Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison, specializing in number theory and arithmetic algebraic geometry. He is the New York Times bestselling author of How Not to Be Wrong and Shape, and his forthcoming book, Don't Be Too Sure, arrives in 2027.
AI’s Hidden Math
Jordan Ellenberg has good news: artificial intelligence is just math you can actually understand. The mathematician joins Hakeem to pull back the curtain on how large language models really work, revealing that the "miracle" of AI is closer to trial and error scaled up billions of times than anything resembling thought. Jordan breaks down why the process works so well, how every word becomes a point in a space with hundreds of dimensions, and why your chatbot's "personality" is engineered, not accidental.Learn more about NOVA and visit our YouTube channel.--------------------------Guest Bio:Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison, specializing in number theory and arithmetic algebraic geometry. He is the New York Times bestselling author of How Not to Be Wrong and Shape, and his forthcoming book, Don't Be Too Sure, arrives in 2027.
Hobbits, Neanderthals, and Dragon Man
Ella Al-Shamahi explores what it means to be human. She reveals the surprising truth that our ancestors shared the planet with at least seven other human species as recently as 50,000 years ago. Ella and Hakeem dig into Neanderthal culture and the mysterious Denisovans who were identified from a single finger bone. Then Ella shares something more personal: her own journey from creationist to one of the leading voices in paleoanthropology.Learn more about NOVA and visit our YouTube channel.--------------------------Guest Bio:Ella Al-Shamahi is a paleoanthropologist, explorer, and presenter based in London. She specializes in human evolution and has conducted fieldwork in some of the world's most dangerous and remote regions in search of fossil evidence of our earliest ancestors. She is a TED speaker and has appeared in numerous science documentaries, including hosting NOVA and BBC’s five-part series HUMAN, available on the PBS App and NOVA’s website.
Creationist to Evolutionary Biologist
Ella Al-Shamahi set out to disprove the theory of evolution. Now she’s one of its greatest advocates. In this deeply personal conversation, Ella tells Hakeem her story. She started university as an avid creationist missionary with the intention of disproving evolution, and then her world started to fall apart. This candid conversation covers what the journey from creationist to paleoanthropologist actually looked like, and the evidence that shifted her thinking. It is a path with personal costs and the impact of changing worldviews. It's a thoughtful reflection on science, identity, community and why empathy matters more than argument when deeply held beliefs meet new evidence. Learn more about NOVA and visit our YouTube channel.--------------------------Guest Bio:Ella Al-Shamahi is a paleoanthropologist, explorer, and presenter based in London. She specializes in human evolution and has conducted fieldwork in some of the world's most dangerous and remote regions in search of fossil evidence of our earliest ancestors. She is a TED speaker and has appeared in numerous science documentaries, including hosting NOVA and BBC’s five-part series HUMAN, available on the PBS App and NOVA’s website.
Rethinking Neanderthals
Ella Al-Shamahi thinks Neanderthals have a reputation problem, and the science backs her up. For decades, the word "Neanderthal" has been shorthand for something primitive and brutish. But the archaeological record tells a more nuanced story. Ella joins Hakeem to explore what we actually know about our closest ancient relatives: how they looked, how they lived, what their culture reveals about their inner lives, and if we would even recognize one walking around today. They also dig into the remarkable story of the Denisovans, a species shrouded in mystery and identified first not from a skull or skeleton, but from a single finger bone. Learn more about NOVA and visit our YouTube channel.--------------------------Guest Bio:Ella Al-Shamahi is a paleoanthropologist, explorer, and presenter based in London. She specializes in human evolution and has conducted fieldwork in some of the world's most dangerous and remote regions in search of fossil evidence of our earliest ancestors. She is a TED speaker and has appeared in numerous science documentaries, including hosting NOVA and BBC’s five-part series HUMAN, available on the PBS App and NOVA’s website.