Breaking Math Podcast
Autumn Phaneuf
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.ioLinktree: https://linktr.ee/breakingmathmediaEmail: breakingmathpodcast@gmail.com
Episodes
Mentioned books
Jun 24, 2025 • 41min
What is Cryptography?
This conversation delves into the intersection of quantum computing and cryptography, focusing on the implications of quantum computers for current encryption methods and the necessity for post-quantum cryptography. Dr. Dustin Moody from NIST discusses the threats posed by quantum computing, particularly through Shor's algorithm, and the ongoing efforts to develop new cryptographic standards that can withstand these threats. The discussion also covers the role of NIST in standardizing post-quantum algorithms, the mathematical challenges involved, and the importance of preparing businesses for the transition to these new systems. All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Takeaways Quantum computers harness principles of quantum physics for computation. Shor's algorithm can efficiently factor large numbers, threatening RSA encryption. Post-quantum cryptography aims to develop algorithms resistant to quantum attacks. NIST is leading the effort to standardize post-quantum cryptographic algorithms. Lattice-based algorithms are promising for post-quantum cryptography due to their efficiency. Businesses must be proactive in transitioning to post-quantum cryptography. The Harvest Now, Decrypt Later threat highlights the urgency of transitioning. Quantum key distribution offers theoretically perfect security. Different cryptographic algorithms are needed for various applications and devices. The future of cryptography will rely on new mathematical challenges to ensure security.Keywordsquantum computing, cryptography, post-quantum cryptography, NIST, cybersecurity, Shor's algorithm, digital signatures, lattice-based algorithms, encryption, quantum threatsSubscribe to Breaking Math wherever you get your podcasts. Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
Jun 17, 2025 • 32min
We Live in a Radioactive World: What is Dosimetry?
In this episode, Autumn interviews Dr. Ileana Pazos, an expert in dosimetry, discussing the critical role of radiation measurement in various industries, including healthcare and food safety. They explore the science behind dosimetry, the applications of radiation, the challenges faced in accurate measurements, and the misconceptions surrounding food irradiation. Ileana emphasizes the importance of public education and the need for global standards in radiation measurement, while also sharing her personal connection to the field and the future of radiation technologies.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
Jun 10, 2025 • 42min
What is Life?
In this conversation, Dr. Elizabeth Strychalski discusses the fascinating field of synthetic biology, particularly focusing on synthetic cells. She shares her journey into this research area, the challenges of defining life, and the ethical considerations surrounding synthetic biology. The conversation also explores the potential applications of synthetic cells in environmental science and medicine, as well as the importance of engineering standards and biomanufacturing for sustainability. Dr. Strychalski emphasizes the need for collaboration and communication in the scientific community to advance this field responsibly and effectively.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
Jun 3, 2025 • 50min
Fire Science: What are Photoacoustic Measurements?
In this episode of Breaking Math, hosts Autumn and Gabriel explore the innovative intersections of fire science and technology with experts Amy Mensch and Ryan Falkenstein-Smith who work at NIST. They discuss the groundbreaking photoacoustic technique for measuring soot deposition, its applications in fire safety and forensic investigations, and the broader implications for fire research. The conversation highlights the importance of integrating advanced technologies into firefighting and the potential for future developments in the field.You can learn more about Time at time.gov and NIST at nist.gov.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
Feb 26, 2025 • 1h 12min
What is Time?
In this episode of Breaking Math, Autumn and Andrew Novick delve into the intricate world of timekeeping, exploring the significance of precise time measurement in modern technology. They discuss the evolution from traditional atomic clocks to cutting-edge optical clocks, the critical role of time in various industries, and the implications of time on fundamental physics, including Einstein's theories. The conversation also touches on the quirky concept of leap seconds and the future advancements in timekeeping technology, emphasizing the relative nature of time and its perception.You can learn more about Time at time.gov and NIST at nist.gov.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com
Feb 18, 2025 • 7min
What is Measurement?
SummaryThis episode of Breaking Math explores the fundamental concept of measurement, its importance in daily life, and the necessity for standardized units. The discussion highlights the role of the International System of Units (SI) and the National Institute of Standards and Technology (NIST) in maintaining measurement accuracy. It also touches on historical measurement failures and the evolution of measurement definitions, emphasizing the future of measurement in technology and science.Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com
Nov 19, 2024 • 41min
How Analytics Can Revolutionize Affordable Energy
Dr. Destine Nock, CEO of Peoples Energy Analytics and a Carnegie Mellon University professor, discusses energy equity and sustainable solutions. She emphasizes how data analytics can reshape affordable energy access, particularly for underserved communities coping with rising costs. The conversation highlights innovative policies, real-world case studies, and the critical need for effective communication strategies to boost energy literacy. Dr. Nock also sheds light on the health implications of energy production and the importance of transitioning to renewable sources for a more equitable future.
Nov 12, 2024 • 13min
What is Chaos Theory?
In this captivating episode of Breaking Math, hosts Gabriel and Autumn dive deep into chaos theory—a fascinating branch of mathematics that explores the behavior of complex systems highly sensitive to initial conditions. They break down the butterfly effect, revealing how tiny variations can lead to major consequences and discuss the inherent unpredictability in weather forecasting and the financial markets. The episode also uncovers chaos theory’s influence on human physiology, such as heart rate variability, and the mathematical beauty of fractals. Additionally, the hosts explore philosophical viewpoints, emphasizing how accepting life’s uncertainties can foster adaptability and resilience.Key Takeaways:Chaos Theory: Small actions can trigger significant outcomes, impacting everything from nature to human-made systems.Butterfly Effect: Demonstrates how tiny differences in initial conditions can lead to vastly different outcomes.Weather Forecasting: An excellent real-world illustration of chaos theory, showing how unpredictable weather can be.Financial Markets: A reminder of the chaotic, complex forces that drive economic shifts and unpredictability.Human Physiology: Chaos theory sheds light on natural processes, like the variability of heart rhythms.Fractals: These intricate patterns showcase self-similarity and are visually striking examples of chaos in nature.Philosophical Implications: Embracing chaos and uncertainty equips us to be more adaptable and creative.Life's Unpredictability: A reflection of chaotic systems, reminding us to value flexibility. Interconnectedness: Understanding chaos theory enhances our appreciation of how interwoven our world truly is.Keywords: Chaos Theory, Butterfly Effect, Weather Forecasting, Economics, Fractals, Unpredictability, Complex Systems, Human Physiology, Philosophical Implications, Adaptability.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com
Nov 5, 2024 • 12min
AI in the Lab: How GPT-4 is Changing Molecules and Models
Discover how large language models like GPT-4 are revolutionizing chemistry and materials science. From predictive modeling advancements to lab automation, AI is streamlining workflows and accelerating discoveries. Learn how natural language interfaces are changing the way researchers interact with data, making processes more efficient. The impact on education is also significant, with AI creating personalized tutoring experiences. This blend of technology and science shows promising potential for future innovations.
Oct 29, 2024 • 15min
The Fluid Dynamics of Sheep
In this episode of Breaking Math, we explore the unexpected link between sheep herding and fluid dynamics! Did you know that the way sheep move in a herd is governed by the same mathematical principles as water flowing in a river? By following simple rules of alignment, cohesion, and separation, sheep create a coordinated, fluid-like movement that scientists can model to predict behavior.Join us as we break down how these principles apply not only to animal herds but also to real-world applications like robotics, autonomous vehicles, and crowd management. Whether you're a math lover, curious about animal behavior, or fascinated by the science behind traffic flow, this episode reveals the incredible power of mathematics in nature. Don’t forget to subscribe for more insights into the surprising connections between math and the world around us!Timestamps:00:00 - Introduction to Sheep Herding and Fluid Dynamics02:15 - What is Fluid Dynamics?06:30 - How Sheep Behave Like Particles in a Fluid10:45 - Mathematical Models of Herding Behavior16:20 - Real-world Applications: From Farming to Robotics20:55 - Conclusion & Key TakeawaysTags: #BreakingMath #FluidDynamics #AnimalBehavior #MathInNature #SheepHerding #Robotics #ScienceExplained #EmergentBehaviorBecome a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com
