Breaking Math Podcast
Autumn Phaneuf & Noah Giansiracusa
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.ioLinktree: https://linktr.ee/breakingmathmediaEmail: breakingmathpodcast@gmail.com
Episodes
Mentioned books
Mar 27, 2026 • 8min
Denied, Then Unstoppable: The Story of Mary T. Washington Wylie
This Women in History Mini-Series episode with Dr. Victoria Bateman explores the inspiring story of Mary T. Washington Wylie, the first African-American woman CPA, her challenges, achievements, and legacy in breaking racial and gender barriers in the early 20th century. Mathematics is supposed to be objective—but access to it has never been equal.Chapters00:00 Introduction to Mary T. Washington Wylie00:48 Early Life and Challenges02:58 Breaking Barriers in Accountancy05:25 Pioneering a Path for Others07:21 Legacy and ImpactFollow Breaking Math onSubstack (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 onWebsite (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 onTwitter (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_)
Mar 24, 2026 • 40min
The Power of Connection in Math: Insights from Hortensia Soto
In this episode of Breaking Math, we sit down with Dr. Hortensia Soto, former president of the Mathematical Association of America, to explore the role of mathematics in a world shaped by AI, education, and access. We discuss how debates in math are often really about opportunity and inclusion, how educators can navigate the rapid pace of AI, and why communication and human connection matter more than ever. The conversation also highlights the importance of financial literacy, embodied learning, and collaboration, reframing mathematics not as a set of answers, but as a way of thinking grounded in curiosity, effort, and relationships.Chapters00:00 Introduction to Hortensia Soto and the Math Community02:48 The Role of AI in Mathematics05:17 Access to Mathematics and Its Political Nature07:34 The Importance of Financial Literacy in Math Education10:19 Communication Skills for Mathematicians13:06 The Culture of the Mathematical Association of America15:29 Reflections on Leadership in the Math Community25:01 Innovative Approaches to Mathematics Education25:50 Recognizing Math Identity in Students27:02 Nurturing Student Potential35:31 The Role of AI in Learning38:26 The Human Element in Mathematics39:51 Mathematics Beyond Symbols and ProceduresFollow Hortensia Soto on LinkedIn (https://www.linkedin.com/in/hortensia-soto-41230188/) 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
Mar 20, 2026 • 13min
Florence Nightingale: Data-Driven Reformer of Medicine
This Women in History Mini-Series episode with Dr. Victoria Bateman explores the groundbreaking contributions of Florence Nightingale, highlighting her use of data and statistics to revolutionize healthcare and public health during the 19th century. Discover how her innovative use of data visualization and her perseverance against gender biases transformed modern nursing and public health policy.Chapters00:00 Introduction to Florence Nightingale's Legacy02:21 The Crimean War and Nightingale's Impact05:18 Data Collection and Analysis in Healthcare07:18 Overcoming Gender Bias in Medicine09:23 Innovations in Data Visualization11:59 Nightingale's Lasting Influence and ConclusionFollow 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_)
Mar 17, 2026 • 35min
The Math Behind Gerrymandering, Fair Representation, and Politics with Karen Saxe
Mathematics quietly shapes some of the most important decisions in public life, from redistricting and congressional apportionment to federal research funding and AI policy. In this episode, Autumn and Noah speak with Dr. Karen Saxe, Senior Vice President of Government Relations at the American Mathematical Society, about how mathematical ideas influence representation, fairness, education, and the future of research. From gerrymandering and geometric compactness to life inside the U.S. Senate and the growing policy debates around AI, Karen reveals how deeply math is woven into the systems that govern everyday life.Chapters00:00 Introduction to the Conversation01:15 The Hot Tea in DC01:24 Gerrymandering and Mathematics03:42 Understanding Gerrymandering and Redistricting08:07 The Role of Mathematicians in Politics12:19 Experiences in the Senate with Al Franken19:32 Government Relations and the Role of Mathematics23:01 The Impact of AI on Mathematics and Policy28:41 Community Readiness for AI Transformations29:22 Diversity in Education and Its Challenges29:40 Bridging Mathematics and Politics29:58 Career Pathways: Academia to PolicyFollow Karen Saxe onLinkedIn (https://www.linkedin.com/in/karen-saxe-5015038a/)Website (https://www.ams.org/government)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 onInstagram (https://www.instagram.com/profnoahgian/)Twitter (https://x.com/ProfNoahGian)Bluesky (https://bsky.app/profile/profnoahgian.bsky.social)Follow Autumn onTwitter (https://x.com/1autumn_leaf)Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social)Instagram (https://www.instagram.com/1autumnleaf/)Substack (https://substack.com/@1autumnleaf)email: breakingmathpodcast@gmail.com
Mar 13, 2026 • 14min
Anna Schwartz: The Economist Who Changed How We Study Economies
This 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_)
Mar 11, 2026 • 26min
Disappearing Grants, Genius Grants, and the AI Proofs with Lauren K. Williams
In 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
Mar 6, 2026 • 10min
Priscilla Wakefield: Empowering Women Through Financial Literacy
This Women in History Mini-Series with Dr. Victoria Bateman explores the life and contributions of Priscilla Wakefield, a revolutionary figure in financial literacy and women's empowerment during the Industrial Revolution. Wakefield's work in establishing savings banks and community insurance schemes for women highlights her belief in the practical application of mathematics for everyday life. The discussion also addresses the challenges women faced in finance during her time and her lasting impact on feminist economics.TakeawaysPriscilla Wakefield taught ordinary people how to use numbers.She established England's first savings bank for women and children.Wakefield's work was pivotal during the British Industrial Revolution.She recognized the need for financial education among women.Her community insurance scheme empowered women financially.Wakefield's approach to mathematics was practical and accessible.She published influential works on women's rights and economics.Her philosophy emphasized the importance of financial literacy.Chapters00:00 Introduction to Priscilla Wakefield01:19 Priscilla Wakefield: A Revolutionary Mathematician04:28 The Financial Landscape of Georgian Britain06:34 Groundbreaking Contributions to Banking and Finance07:41 Fun Facts and Legacy of Priscilla WakefieldFollow 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)
Mar 3, 2026 • 31min
Why Mathematicians Must Speak Up with Bryna Kra
In this conversation, Dr. Bryna Kra discusses her journey in mathematics, focusing on her research, dynamical systems, the importance of collaboration, and the role of the American Mathematical Society. She emphasizes the need for better communication within the mathematics community and the challenges it faces, particularly regarding diversity and inclusion. Bryna shares her experiences in mentoring women in mathematics and reflects on her career achievements while looking forward to future contributions in the field.TakeawaysMathematics is a dynamic field that evolves over time.Explaining the applications of mathematical research is essential.Collaboration often starts in unexpected places.Dynamical systems connect seemingly unrelated mathematical fields.The AMS plays a crucial role in supporting mathematicians.Communication is key to addressing challenges in the mathematics community.Women in mathematics need more support and mentorship.Creating pathways for underrepresented groups is vital.Asking for help can lead to significant changes in academia.Reflecting on one's career can inspire future generations. Chapters00:00 Introduction to Dynamical Systems01:33 The Intersection of Number Theory and Dynamical Systems03:23 Communicating Abstract Mathematics05:21 The Evolution of Mathematical Fields07:09 Quirky Anecdotes in Mathematics09:49 Leading the American Mathematical Society15:01 Challenges Facing the Mathematics Community18:08 Roles in the National Mathematics Community21:11 Women in Mathematics and Mentorship27:02 Reflections on a Successful CareerBryna does not have social media, but you can email us to contact her,Follow Noah on Instagram, Twitter, Bluesky Follow Breaking Math on Substack, Patreon, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest here
Feb 24, 2026 • 44min
Reaching for the Extreme with Ian Stewart
In this conversation, Ian Stewart discusses the nature of mathematical inquiry, the motivations behind problem-solving in mathematics, and the importance of storytelling in making math relatable. He explores the relationship between nature and mathematics, emphasizing how patterns in nature inspire mathematical concepts. Stewart also addresses the role of AI in mathematical discovery and the importance of choosing meaningful problems to work on. He concludes by highlighting the vital role of mathematics in society and its significant contributions to the economy.Takeaways-Mathematics is driven by curiosity and the desire to solve problems-Nature serves as a significant source of inspiration for mathematical ideas.-Mathematicians often seek deeper understanding beyond just solving problems.-AI can be a powerful tool in mathematical discovery, but it raises questions about understanding-Choosing problems that interest you is crucial for success in mathematics.-Mathematics has a profound impact on various industries and the economy.Chapters00:00 The Origins of Mathematical Problems06:12 Breaking Down Complex Problems09:57 The Beauty of Mathematical Proofs15:21 The Role of Storytelling in Mathematics20:10 Nature as Inspiration for Mathematics24:30 The Pursuit of Mathematical Extremes27:00 The Complexity of the Four Color Theorem Proof28:38 The Impact of Computer-Aided Proofs on Understanding31:21 The Quest for Deeper Mathematical Insights32:11 AI and the Evolving Boundaries of Mathematics34:35 The Dilemma of Solving Without Understanding38:49 Guiding the Next Generation of MathematiciansYou can purchase Ian Stewart’s book here. Follow Noah on Instagram, LinkedIn, Twitter, Bluesky Follow Breaking Math on Substack, Patreon, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
Feb 17, 2026 • 43min
Rethinking Mathematical Value in the Age of AI with Ravi Vakil
In this conversation, Ravi Vakil discusses the beauty of mathematics, the impact of AI on the field, and the importance of human interaction in mathematical education. He emphasizes the social nature of mathematics and the potential dangers of AI-generated content flooding the mathematical community. The discussion also touches on the future of education, the role of leadership in mathematics, and the balance between mathematics and other disciplines. Throughout, Vakil encourages aspiring mathematicians to embrace the beauty and interconnectedness of the subject.TakeawaysMathematics is fundamentally about curiosity and connection.The beauty of mathematics can be shared and experienced collectively.AI poses both opportunities and challenges for the field of mathematics.Mathematics thrives on social interaction and collaboration.The influx of AI-generated content may dilute the quality of mathematical research.Education in mathematics requires human interaction and cannot be fully replaced by technology.Leadership in mathematics should focus on long-term investments in education.Chapters00:00 Introduction and Setting the Stage01:11 The Beauty of Mathematics03:57 The Intersection of Mathematics and Technology05:41 AI's Role in Mathematics07:36 Emerging Mathematical Ideas in the Age of AI09:12 Community Dynamics in Mathematics13:32 Challenges of AI in Academic Publishing17:08 The Future of Writing and Learning in Mathematics19:42 The Value of Human Interaction in Education22:33 The Future of Mathematics and AI30:15 Leadership in Mathematics and Education35:47 Balancing Mathematics with Liberal Arts39:48 Encouragement for Aspiring MathematiciansFollow Noah on Instagram, Twitter, Bluesky Follow Breaking Math on Substack, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
