Podcast
Breaking Math Podcast
Hosted by Autumn Phaneuf & Noah Giansiracusa · EN
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 Noah Giansiracusa, a mathematician and leading voice in algorithmic literacy and technology ethics, the show is dedicated to uncovering the mathematical structures behind science, technology, and the systems shaping 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—into the strange beauty of chaos theory, the ethical dilemmas of AI and algorithms, the hidden math of biology and evolution, or the physics governing black holes and the cosmos. Along the way, Autumn and Noah speak with working scientists, researchers, and thinkers across fields: computer scientists, physicists, chemists, engineers, economists, philosophers, and more.
But this isn’t just a podcast about equations. It’s a show about how mathematics shapes the way we think, decide, build, and understand the world. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, and 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 and modern algorithms?
- How do we quantify uncertainty in climate and economic models?
- Can intelligence or consciousness be meaningfully described in AI?
- Why does beauty matter in an equation?
You’re in the right place.
At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between abstract mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Noah 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
Linktree: https://linktr.ee/breakingmathmedia
Email: breakingmathpodcast@gmail.com
23episodes
Episodes
Newest firstAll episodes
Anna Schwartz: The Economist Who Changed How We Study Economies
Mar 1300:14:20Tap to summarizeThis Women in History Mini-Series episode with Dr. Victoria Bateman explores the groundbreaking work of Anna Schwartz, a pioneering economist who transformed macroeconomics through data-driven research. Discover how her meticulous analysis of monetary history shaped economic policy and the legacy she left for future generations.Chapters00:00 Introduction to Anna Schwartz and Her Impact01:45 The Historical Context of Economic Data04:10 Challenges Faced by Women in Economics06:03 A Monetary History of the United States09:04 The Methodology of Anna Schwartz11:46 Legacy and Personal Insights on Anna SchwartzFollow Breaking Math on Substack (https://breakingmath.substack.com/) Twitter (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Victoria on Website (http://www.vnbateman.com/)Instagram (https://www.instagram.com/women.wealth.power/) Twitter (https://x.com/vnbateman) Bluesky (https://bsky.app/profile/vnbateman.bsky.social) Follow Autumn on Twitter (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) Substack (https://substack.com/@1autumnleaf) TikTok (https://www.tiktok.com/@1autumn_leaf_)
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Disappearing Grants, Genius Grants, and the AI Proofs with Lauren K. Williams
Mar 1100:25:46Tap to summarizeIn this episode, Lauren Williams, professor of mathematics at Harvard University and a 2025 MacArthur Fellow, speaks about the surprising and often messy reality of mathematical research. The conversation begins with a turbulent moment in academia, when federal grants supporting her work were suddenly canceled—only months before she received the MacArthur “Genius Grant,” an unexpected recognition that allowed her to continue her research. Williams explains her work in algebraic combinatorics, illustrating how abstract mathematics can connect to real-world systems. The discussion also explores the human side of discovery, from collaborations that span continents to the strange coincidence of research papers and babies arriving the same week. Finally, the episode dives into one of the most intriguing experiments in modern mathematics: the First Proof project, which tests whether artificial intelligence can produce genuine mathematical proofs, revealing both the promise and the current limitations of AI-generated reasoning.Chapters01:27 Winning the MacArthur Genius Grant01:43 Becoming a Woman in Mathematics at Harvard04:25 Research Applications10:04 The Human Side of Research12:20 The First Proof Project18:29 Advice for Young Mathematicians22:51 The Intersection of Mathematics and AIFollow Lauren Williams on Instagram (https://www.instagram.com/laurenkwilliams42/ )Website (https://people.math.harvard.edu/~williams/)Follow Breaking Math on Substack (https://breakingmath.substack.com/) Twitter (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Noah on Instagram (https://www.instagram.com/profnoahgian/) Twitter (https://x.com/ProfNoahGian) Bluesky (https://bsky.app/profile/profnoahgian.bsky.social) Follow Autumn on Twitter (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) email: breakingmathpodcast@gmail.com
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39: Syntax Matters: Syntax... Matters? (Formal Grammar)
May 29, 2019Tap to summarizeWe communicate every day through languages; not only human languages, but other things that could be classified as languages such as internet protocols, or even the structure of business transactions. The structure of words or sentences, or their metaphorical equivalents, in that language is known as their syntax. There is a way to describe certain syntaxes mathematically through what are known as formal grammars. So how is a grammar defined mathematically? What model of language is often used in math? And what are the fundamental limits of grammar?
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