How does a giant planet form around a small star—and stay cooler than expected in a tight orbit? We explore HATS-6 b and the atmospheric clues revealed by the James Webb Space Telescope. From ammonia and other molecules to a possible reflective blanket of clouds or haze, this unusual gas giant offers a fresh test of our ideas about planet formation, atmospheric chemistry, and distant worlds. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-ch...

A frontier model good enough to find security flaws, handed out with no guardrails to a trusted few. A business question where the SQL runs clean and the answer is still wrong. Same gap, different layer. We go through why Google is testing its most capable coding model unrestricted before deciding how to lock it down, why a semantic layer took one team's accuracy from twenty-one percent to ninety-five, and the one-word Postgres fix that turns a two-second query back into one that takes under a

For the 300th episode of the IDEMS Podcast, David and Kate discuss IDEMS’ first patent and the ideas behind it. They explore how rethinking some of the foundations of how technology is built could make it easier to reuse and adapt across different contexts, and how AI is creating new possibilities for technology that can respond to the needs and decisions of the people using it.

Muss man ein Genie sein, um Mathe zu studieren? Oder woran merkt man, ob ein Mathestudium zu einem passt?Shamail ist im 2. Semester ihres Mathe-Bachelors und erzählt von ihrem (Um-)Weg zum Mathestudium, ihren ersten Erfahrungen an der Uni und was sie dabei begeistert oder auch überrascht hat.Denn Schulmathe und Uni-Mathe sind doch ziemlich verschieden. Wie ist es also wirklich, ein Mathestudium anzufangen? Und könnte es auch etwas für dich sein?

See It! Say It! Symbolize It! with Dr. Patrick Sullivan ROUNDING UP: SEASON 5 | EPISODE 3 Representations, language, and symbols are all important ingredients in building students' conceptual understanding and fluency. But how can we understand the relationship between those three ingredients? And what happens if we leave any one of them out of the recipe?  In this episode, we explore these questions with Dr. Patrick Sullivan, professor of mathematics at Missouri State University. BIOGRAPHY Dr

Welcome to Voices of Mathematics, a podcast from the Mathematics Faculty at the University of Cambridge.From number theory and geometry to cosmology and quantum physics, join us to explore topics across pure and applied mathematics, mathematical statistics and theoretical physics. In this episode we talk to Carola-Bibiane Schönlieb, Professor of Applied Mathematics in the Department of Applied Mathematics and Mathematical Physics (DAMTP). Carola's ground-breaking research covers areas including

René Descartes is famous for Cogito, ergo sum and his revolutionary approach to philosophy and mathematics. But he also left behind a mysterious 16-page manuscript written in code. In this episode, we uncover the story of Descartes' hidden notebook, the waterlogged manuscripts that nearly disappeared, and Gottfried Wilhelm Leibniz's dramatic attempt to decipher the coded pages. At the center of the mystery is a mathematical relationship involving the vertices, edges, and faces of three-dimensional

I've been experimenting with AI tools lately, and my newest project came out of that: CardSmart, a free app that solves a problem I kept running into myself. Credit cards pay you back differently depending on where you shop, and keeping track of which card wins where, especially with rotating categories and payout caps, is more than anyone should have to manage in their head. CardSmart uses your phone's location, which never leaves your device, to tell you which of your cards earns the most wherever

arXiv math.CAの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-01/Hyperplane Incidences and Distance Sets in Higher DimensionsTur\'an type inequalities for oscillatory special functionsSharp volume bounds for BRK-type sets of surfaces of revolutionThe Minkowski $?(x)$ function and Salem's problem. IIOn planar Nikodym-type setsA Note on Capacity Muckenhoupt Weights with respect to the Hausdorff ContentNatural reparameterization and continuity of the solution map

arXiv math.GRの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-01/Skew-product groups of finite abelian $p$-groupsOn a generalization of the Reidemeister spectrum of a finite groupCommon non-zero graphs of groups with few edgesThe Margolis-Rhodes Monoid of a GraphCarter-like theorems for skew bracesThe Finite Basis Problem for Semirings of Order FourThe finite basis problem for flat semirings $S_c(W)$, $M_c(W)$ and $M(W)$Tensor factorization of local

Como assim um candidato pode ser o mais votado e ainda assim não ser eleito? Isso é algo que pode ocorrer dependendo do cargo que estivermos falando!Como que a matemática pode ajudar ou atrapalhar a eleição do seu candidato? Você sabe? Deixa que eu te conto!Eu também deixei uma pergunta pra você lá no episódio, e to te esperando pra continuarmos nossa conversa nos comentários.Segue o @teoremanatela na sua plataforma de áudio favorita.E o MAIS IMPORTANTE...deixa 5 estrelinhassss na avaliação 😁Não

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-02/Two-Line Elimination and the Weierstrass Group Law in Arbitrary CharacteristicPageRank on Lubotzky--Phillips--Sarnak graphsSome Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k)An explicit family of twists of the Carlitz module with unbounded analytic rankNew bounds for the integer Chebyshev constant of [0,1]On a problem on Ramanujan-Sato series of level 11Perfect squares in reciprocal-sum

arXiv math.RAの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-02/On extensive amenability of algebrasAn Algebraic View of Amenable GroupoidsRational linear forms of linearizable ordinary differential equationsLocal and 2 local $\frac{1}{2}$-derivation of $n$-dimensional totally graded filiform Lie algebrasThe Comon Rank Gap of a Third-Order Symmetric Tensor Can Exceed OneThe Weight Criterion, Dong Property, and Manin Products of OperadsOn a Rank Nullstellensatz

arXiv math.ACの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-02/On the totally acyclic condition and the Auslander-Reiten ConjectureAlternating Divisoriality of Prime Ideals along Infinite Chains of B\'ezout DomainsOn the Krull dimensions of rings of integer-valued polynomials and polynomial ringsA Reduced Non-McCoy Ring with the Annihilator Condition and $(A_2)$Frobenius multiplicities and F-signatures of Grassmannians of two-planesAutomorphisms of

arXiv math.RTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-02/Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules III: Finitistic DimensionA characterization of triangulated structures induced by premutation triplesExplicit Transgression Primitives on Flag ManifoldsMagnitude of module categories and special biserial algebrasBig Finitistic Dimensions of Radical-Cube-Zero AlgebrasEndomorphism algebras of Gorenstein-projective modules over string

arXiv math.AGの新着論文44本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-02/Direct Group Laws on Classical Genus-One ModelsCategorical Torelli theorem for (weighted) hypersurfaces via singularity categoryCompleted cycle transfer and the conifold gap for (P^2, E)A characterization of the Ree curveAll Genus Gopakumar-Vafa Reconstruction from Central Difference ForcingPentagram relationsDerivative and multiplicity loci of elementary symmetric polynomials in positive

Robin Whitty hosts the website theoremoftheday.org, which presents a concise poster about a different theorem each day, with explanation, graphics, and links. He has been doing this for 21 years. Theorems include one by an avant-garde musician that relates to group theory, and an explanation of the intermediate value theorem applied to pancakes. We also discuss how AI might change the role of mathematicians.

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Number of the Day - "26" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

What can a single-letter change in DNA do? We explore Google DeepMind’s AlphaGenome Atlas, an AI-powered resource for predicting how genetic variants may affect molecular processes. Learn how the AlphaGenome Variant Impact score helps researchers prioritize variants across coding and non-coding DNA, and hear examples from rare-disease and population research. It’s a look at how AI-generated predictions can guide the next biological discovery. Note: This podcast was AI-generated, and so...