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    Mathematics

    Breaking Math Podcast

    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

    Advertise

    Copyright: © Copyright Breaking Math

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    Latest Episodes:
    AI Isn’t Replacing You—It’s Changing the Rules with Sheamus McGovern Apr 26, 2026
    Show notes

    In this episode we sit down with Sheamus McGovern, founder of the Open Data Science Conference (ODSC AI), to unpack what AI actually looks like. Sheamus shares what’s really happening behind the scenes of the AI boom and why the biggest shift isn’t job loss, but a complete transformation of skills. From explaining why AI is reshaping—not replacing—jobs, to breaking down the gap between hype and real-world applications, this conversation explores how early algorithmic trading foreshadowed today’s AI revolution, why open-source tools like TensorFlow and PyTorch changed everything, what the “AI Skill Flip” means for your career, and why even data scientists are questioning their future. Along the way, the biggest mistake people make when trying to learn AI, and why the smartest approach isn’t to learn everything—but to start intentionally and build from there.

    Timestamps

    00:00 – The biggest misconception about AI

    02:00 – Algorithmic trading and the origins of AI in finance

    05:00 – The birth of ODSC AI and the data science movement

    09:30 – Breakthrough moments in AI

    16:30 – Democratization of AI and open-source tools

    19:00 –The AI Skill Flip

    24:00 – The truth about AI replacing jobs

    27:00 – Real-world AI success stories

    32:30 – How to actually start learning AI today

    Follow Sheamus McGovern on

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    ODSC Website (https://odsc.ai/)

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    email: breakingmathpodcast@gmail.com


    Math and Magic with Matt Baker Apr 15, 2026
    Show notes

    In this episode, mathematician and award-winning magician Matt Baker explores the fascinating intersection of mathematics and magic, revealing how mathematical principles, intuition, and storytelling create unforgettable illusions. From a mind-reading trick based on the classic concept of “casting out nines” to his groundbreaking research on the Riemann–Roch theorem for graphs, Baker demonstrates how creativity and pattern recognition drive both mathematical discovery and magical performance.

    Chapters

    00:00 The Interplay of Math and Magic

    04:58 Aesthetic Connections in Math and Magic

    08:57 Balancing Family, Math, and Magic

    12:34 The Impact of Magic on Mathematical Thinking

    16:32 The Art of Clarity in Communication

    16:44 A Live Magic Demonstration

    25:14 Intuition and Pattern Recognition in Math

    30:03 The Riemann-Roch Theorem for Graphs

    41:42 The Role of AI in Mathematics and Magic

    50:21 The Art of Communicating Mathematics

    50:47 The Magic of Math and Performance

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    email: breakingmathpodcast@gmail.com


    Credibility Crisis in Science with Thomas Plümper and Eric Neumayer Apr 07, 2026
    Show notes

    In this episode, Thomas Plümper and Eric Neumayer explore the hidden challenges in modern science, from outright fraud to the subtler practice of “tweaking” data that distorts results. They examine why the self-correcting nature of science often falls short, how incentives and academic pressure drive misconduct, and the double-edged role of AI in both enabling and detecting fraud. The conversation also tackles debates around p-values and statistical reasoning, shares cautionary case studies, and proposes solutions like greater data transparency and stronger verification standards.

    Chapters

    00:00 Introduction to Fraud in Research

    06:21 The Nature of Fraud Detection

    08:56 Incentives and Motivations for Fraud

    10:43 Self-Correction in Science

    12:13 Understanding Statistical Significance

    13:04 The Role of Replication in Research

    14:32 Bayesian vs Frequentist Approaches

    23:09 Understanding Bayesian Statistics and Its Implications

    26:24 The Humility of Empirical Science

    27:16 Concrete Examples of Scientific Fraud

    32:52 Proposed Solutions to Scientific Fraud

    34:50 The Reality of Scientific Fraud and Human Nature

    Guest Links

    You can purchase their book here (https://amzn.to/3Ole3lY)

    Follow Eric Neumayer on LinkedIn - (https://linkedin.com/in/ericneumayer)

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    email: breakingmathpodcast@gmail.com


    Denied, Then Unstoppable: The Story of Mary T. Washington Wylie Mar 27, 2026
    Show notes

    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.

    Chapters

    00:00 Introduction to Mary T. Washington Wylie

    00:48 Early Life and Challenges

    02:58 Breaking Barriers in Accountancy

    05:25 Pioneering a Path for Others

    07:21 Legacy and Impact

    Follow Breaking Math on

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    TikTok (https://www.tiktok.com/@1autumn_leaf_)


    The Power of Connection in Math: Insights from Hortensia Soto Mar 24, 2026
    Show notes

    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.

    Chapters

    00:00 Introduction to Hortensia Soto and the Math Community

    02:48 The Role of AI in Mathematics

    05:17 Access to Mathematics and Its Political Nature

    07:34 The Importance of Financial Literacy in Math Education

    10:19 Communication Skills for Mathematicians

    13:06 The Culture of the Mathematical Association of America

    15:29 Reflections on Leadership in the Math Community

    25:01 Innovative Approaches to Mathematics Education

    25:50 Recognizing Math Identity in Students

    27:02 Nurturing Student Potential

    35:31 The Role of AI in Learning

    38:26 The Human Element in Mathematics

    39:51 Mathematics Beyond Symbols and Procedures

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    email: breakingmathpodcast@gmail.com


    Florence Nightingale: Data-Driven Reformer of Medicine Mar 20, 2026
    Show notes

    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.

    Chapters

    00:00 Introduction to Florence Nightingale's Legacy

    02:21 The Crimean War and Nightingale's Impact

    05:18 Data Collection and Analysis in Healthcare

    07:18 Overcoming Gender Bias in Medicine

    09:23 Innovations in Data Visualization

    11:59 Nightingale's Lasting Influence and Conclusion

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    Follow Victoria on Website (http://www.vnbateman.com/)

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    The Math Behind Gerrymandering, Fair Representation, and Politics with Karen Saxe Mar 17, 2026
    Show notes

    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.

    Chapters

    00:00 Introduction to the Conversation

    01:15 The Hot Tea in DC

    01:24 Gerrymandering and Mathematics

    03:42 Understanding Gerrymandering and Redistricting

    08:07 The Role of Mathematicians in Politics

    12:19 Experiences in the Senate with Al Franken

    19:32 Government Relations and the Role of Mathematics

    23:01 The Impact of AI on Mathematics and Policy

    28:41 Community Readiness for AI Transformations

    29:22 Diversity in Education and Its Challenges

    29:40 Bridging Mathematics and Politics

    29:58 Career Pathways: Academia to Policy

    Follow Karen Saxe on

    LinkedIn (https://www.linkedin.com/in/karen-saxe-5015038a/)

    Website (https://www.ams.org/government)

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    email: breakingmathpodcast@gmail.com


    Anna Schwartz: The Economist Who Changed How We Study Economies Mar 13, 2026
    Show notes

    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.

    Chapters

    00:00 Introduction to Anna Schwartz and Her Impact

    01:45 The Historical Context of Economic Data

    04:10 Challenges Faced by Women in Economics

    06:03 A Monetary History of the United States

    09:04 The Methodology of Anna Schwartz

    11:46 Legacy and Personal Insights on Anna Schwartz

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    Disappearing Grants, Genius Grants, and the AI Proofs with Lauren K. Williams Mar 11, 2026
    Show notes

    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.

    Chapters

    01:27 Winning the MacArthur Genius Grant

    01:43 Becoming a Woman in Mathematics at Harvard

    04:25 Research Applications

    10:04 The Human Side of Research

    12:20 The First Proof Project

    18:29 Advice for Young Mathematicians

    22:51 The Intersection of Mathematics and AI

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    Website (https://people.math.harvard.edu/~williams/)

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    email: breakingmathpodcast@gmail.com


    Priscilla Wakefield: Empowering Women Through Financial Literacy Mar 06, 2026
    Show notes

    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.

    Takeaways

    • Priscilla 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.

    Chapters

    00:00 Introduction to Priscilla Wakefield

    01:19 Priscilla Wakefield: A Revolutionary Mathematician

    04:28 The Financial Landscape of Georgian Britain

    06:34 Groundbreaking Contributions to Banking and Finance

    07:41 Fun Facts and Legacy of Priscilla Wakefield

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