Dots and Lines: Hidden Networks

In this conversation, Autumn and Dr. Anthony Bonato explore the fascinating world of networks, discussing their significance in various fields, including mathematics, social interactions, and even the spread of diseases like COVID-19 in his new book Dots and Lines. Anthony shares his journey into network science, the importance of understanding networks in everyday life, and how they can reveal hidden connections. The discussion also touches on popular culture references, such as Game of Thrones and Survivor, to illustrate the practical applications of network theory. Ultimately, the conversation emphasizes the need to embrace mathematics and recognize the pervasive role of networks in our lives. Takeaways * Networks are fundamental to understanding complex systems. * The COVID-19 pandemic highlighted the importance of network science. * Mathematics encompasses more than just numbers and shapes. * Personal experiences can lead to profound realizations about networks. * Everyday life is filled with examples of networks in action. * Game of Thrones and Survivor serve as engaging examples of network analysis. * The Bacon number illustrates connections in Hollywood. * Erdős number connects mathematicians through collaboration. Chapters * 00:00 The Inspiration Behind the Book * 03:38 Understanding Networks: A New Perspective * 06:13 Networks in Everyday Life * 08:28 The Power of Networks in Society * 11:03 Real-World Applications of Network Science * 13:32 Pop Culture and Network Analysis * 15:38 The Bacon Number and Network Connections * 21:53 The Bacon Number and Small World Phenomenon * 26:34 Network Embeddings and Their Applications * 31:04 Graph Theory: Patterns and Connections * 35:11 The Importance of Mathematics in Everyday Life * 36:57 Introduction and Curiosity in Connections Follow Anthony on Twitter [https://x.com/Anthony_Bonato/], and on his Website [https://t.co/W1x1ZB1ChX]Subscribe to Breaking Math wherever you get your podcasts. Become a patron of Breaking Math [https://www.patreon.com/breakingmath] for as little as a buck a month Follow Breaking Math on Twitter [https://x.com/breakingmathpod], Instagram [https://www.instagram.com/breakingmathmedia/], LinkedIn [https://www.linkedin.com/company/breaking-math/], Website [https://breakingmath.io/], YouTube [https://www.youtube.com/@BreakingMathPod], TikTok [https://www.tiktok.com/@breakingmathmedia] Follow Autumn on Twitter [https://x.com/1autumn_leaf] and Instagram [https://www.instagram.com/1autumnleaf/] Become a guest here [https://www.breakingmath.io/contact] email: breakingmathpodcast@gmail.com

Om Podcasten

Breaking Math is a deep-dive science, technology, engineering, AI, and mathematics podcast that explores the world through the lens of logic, patterns, and critical thinking. Hosted by Autumn Phaneuf, an expert in industrial engineering, operations research and applied mathematics, and Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the systems that shape our future. What began as a conversation about math as a pure and elegant discipline has evolved into a platform for bold, interdisciplinary dialogue. Each episode of Breaking Math takes listeners on an intellectual journey—whether it’s into the strange beauty of chaos theory, the ethical dilemmas of AI, the deep structures of biological evolution, or the thermodynamics of black holes. Along the way, Autumn and Gabriel interview leading thinkers and working scientists from across the spectrum: computer scientists, quantum physicists, chemists, philosophers, neuroscientists, and more. But this isn’t just a podcast about equations—it’s a show about how mathematics influences the way we think, create, build, and understand. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, the creative—for anyone who believes that ideas should be rigorous, accessible, and infused with wonder. If you've ever wondered: * What’s the math behind machine learning? * How do we quantify uncertainty in climate models? * Can consciousness be described in AI? * Why does beauty matter in an equation? Then you’re in the right place. At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between the abstract world of mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Gabriel invite you to rethink what math can be—and how it can help us shape a better future. Listen wherever you get your podcasts. Website: https://breakingmath.io [https://breakingmath.io/] Linktree: https://linktr.ee/breakingmathmedia Email: breakingmathpodcast@gmail.com