Send us Fan Mail A chaotic system is one where the outcome is sensitively dependent on initial conditions. Small disturbances can take the system in new, unpredictable directions. Professor Jens Marklof has built a successful career understanding the mathematics that underpin the chaos of quantum systems. His career, or indeed any academic career, is a kind of chaotic system. You never know which meeting or conversation will send you off in a new direction. In a fascinating conversation...

We are very lucky to be based at the Centre for Mathematical Sciences at the University of Cambridge. To start our latest podcast season we bring you a series of conversations with our mathematician colleagues, part of the podcast we produce for the Maths Faculty here. In our first podcast we meet Richard Samworth, Professor of Statistical Science and Director of the Statistical Laboratory. We spoke to him in the run up to the International Congress of Mathematicians (ICM), one of the biggest dates

In this episode of the NCETM Maths Podcast, Howard Astley-Jones talks with Professor Paul Glaister CBE about the origins, development and impact of Core Maths since its introduction in the mid-2010s. They discuss why the qualification was created to address the gap for students progressing beyond GCSE without taking A level Maths, and how it supports problem solving, quantitative reasoning, statistics and communication for higher education and employment.Paul reflects on policy drivers, including

In the second season's fourth episode of On a Tangent, Carlo speaks with Benjamin Brück about his journey to Münster, away from it, and ultimately back again, the stations and challenges along the way and his connection to music. In his research Benjamin is focusing on high dimensional cohomology of arithmetic groups.

On the latest episode of "In the Interim...", Dr. Scott Berry and Dr. Kert Viele deliver a focused, technical analysis of statistical bias when stopping trials early. This episode clarifies the definition of bias, detailed within the context of interim analyses, emphasizing the empirical consequences of different stopping rules. The discussion addresses common misconceptions around interpretation as well as including the mathematical rationale for averaging across all trial outcomes, and

We motivate Lebesgue Measure theory.

We prove a theorem related to primitive Pythagorean Primes as well as present a few conjectures.

Presents the Discrete and Continuous Calculus: The Essentials.

Examines Lesbesgue Measure theoretic Conditional Expectation in a Discrete Setting.

Explains Fractal Dimensions

We discuss the derivation of the Heat Equation and the Fokker-Plank Equation via a balance law.

Explains how the dot product comes about.

The Gupta Empire reaches its scientific zenith as we meet one of the greatest mathematicians of Late Antiquity. Aryabhata (476–550 CE) helped transform astronomy and mathematics in India through a remarkable combination of elegant algorithms and practical computation. In this episode we explore his Aryabhatiya, from recursive square and cube root algorithms to the famous Kuttaka ("Pulveriser") method for solving indeterminate equations. Along the way we investigate his astonishingly accurate value

In this conversation we chat with Julia Angwin — Pulitzer Prize-winning journalist, founder of Proof News, and former Wall Street Journal and ProPublica reporter — to make the case that journalism should function more like mathematical proof than anecdote.We cover how Angwin's team at The Markup used a decision-tree model to prove Amazon was favoring its own products in search results by an 8-to-1 margin — a finding the House Antitrust Committee later cited when referring Amazon to the DOJ for

Dr. Wall discusses instructional and system coherence. Learn what it is, why it matters, and how to obtain it in your classroom and school.

The dear leader has actually bleated out some not-dumb executive orders (EOs) to accelerate adoption of post-quantum crypto for the US government! This looks to be in response to a flurry of advancements in quantum computing and quantum attack algorithms a few months ago. We cram legalize into our eyeballs— plus, ECDSA.fail! Watch on YouTube: https://www.youtube.com/watch?v=7ZwQpN_F6P8 Transcript: https://securitycryptographywhatever.com/2026/07/02/trumps-golden-post-quantum-eos Links: - Th...

aboutlogic #15 | Emily Riehl (Johns Hopkins University) joins us to explore higher category theory, homotopy, and the role of AI in modern mathematics. From the foundations of category theory to the challenges of formalizing math with proof assistants like Lean, Emily shares her insights on synthetic vs. analytic approaches, the beauty of abstraction, and how AI is changing mathematical research.

Join Data Talks From Algebra to Architecture, with Jim Ellis In this episode of Data Talks, we sit down with Jim Ellis, math teacher at the American International School of Vienna and author of "Educators as Designers," to explore how his background in architecture reshaped his approach to teaching math. Jim walks us through the parallels between architectural design and effective data-informed instruction, and how that lens has shaped a career built around curiosity and critical thinking. We...

The Sui and Move ArchitectureUnlike the Go and Rust cores of the Mohawk stack, SAPM is built using TypeScript and Sui Move.On-Chain Logic: The core market mechanics—matching, escrow, and settlement—are written in Sui Move to leverage the blockchain's object-oriented safety and high throughput.DeepBook Integration: The market integrates with DeepBook (Sui's native central limit order book) to manage liquidity and execution for autonomous traders.Walrus Publishing: Recent commits show the integration

Day 19: Incident Response & Forensics — Technical BriefingAutomated Triage with Runbook-Match Cards: A deep dive into how the HUD accelerates first-response by mapping active opsHealth.alerts directly to runbook-match cards. This ensures that operators have immediate, context-aware remediation steps as soon as an anomaly is detected.Byzantine Forensics Pipelines: An analysis of the tiered detection logic, including the Daily Short-Run for rapid anomaly detection and the Weekly Forensics for