#503 – AI Crisis in Math: Navier-Stokes, Riemann Hypothesis & Complexity Theory

America’s defense, energy, manufacturing, and robotics booms are increasingly becoming one story: the rebuilding of the country’s industrial base. This year’s AD50 highlights the companies building across that stack, from critical materials and factories to the systems they ultimately power. a16z’s Erin Price-Wright and Connor Love join Elena Burger to unpack what has changed. They discuss how defense demand can help finance manufacturing capacity that ultimately serves much larger commercial markets, why AI is changing the economics of American factories, and how a new generation of founders is applying lessons from SpaceX, Tesla, Anduril, and Palantir to mining, energy, manufacturing, and defense. They also make the case that these companies are no longer simply important to America. With private capital increasingly willing to fund physical infrastructure and production before government demand is guaranteed, they can become some of the most valuable companies in the world. Resource

Mark Cuban thinks AI could transform healthcare, but it won’t fix opaque prices and broken incentives on its own. His starting point for employers: run every benefits contract through AI and ask where you’re getting ripped off. Mark joins a16z General Partner Julie Yoo and Erik Torenberg to discuss what he’s learned building Cost Plus Drugs, why trust is its core product, and how greater transparency could put pressure on healthcare costs. They also explore where AI can help, what personalized medicine could look like, how the role of doctors may change, and why Mark believes founders should use AI to learn, not as an excuse to stop thinking. Resources: Follow Mark Cuban on X: https://x.com/mcuban Follow Julie Yoo: https://x.com/julesyoo Mark Cuban Cost Plus Drug Company: https://costplusdrugs.com/ Cost Plus Wellness: https://costpluswellness.com/ Stay Updated: Find a16z on YouTube: YouTube Find a16z on X Find a16z on LinkedIn Listen to the a16z Show on Spotify Listen to the a16z Show

What should school look like if AI can help students learn dramatically faster? Alpha School founder Joe Liemandt argues the answer isn’t to fill the extra time with more academics, but to redesign school around the skills traditional classrooms struggle to teach: agency, teamwork, entrepreneurship, communication, and doing hard things. Joe joins Erik Torenberg and Horowitz and Andreessen Academy co-founder Gagan Biyani to discuss Alpha’s model, where students spend two hours a day on core academics and the rest developing real-world skills through projects. They explore what that approach can teach higher education, why motivation may matter more than curriculum, and how HAA is applying similar principles to college-age students by putting building, relationships, and real-world experience at the center of the learning experience. They also discuss what parents need to believe before choosing a new educational model, why Joe expects AI to drive an explosion in entrepreneurship, and wh

In this week's episode, we sit down with Peter Cabauy, CEO and founder of City Labs, to explore how nuclear micropower could transform the future of space exploration. From surviving the harsh two-week lunar night to enabling long-duration missions to the Moon and beyond, Peter explains why reliable power may be the biggest challenge facing the next era of spaceflight. He also shares the remarkable story of how City Labs went from the brink of collapse to working with NASA, DARPA, and the U.S. Air Force, and why he believes we're entering the commercial nuclear space age. Also, don’t forget to subscribe to IE+ for premium insights and exclusive content!