Terence Tao: Six Math Essentials, Harvard Science Center

When Monday, November 16, 2026, 6 PM
Where Hall D, Harvard Science Center, 1 Oxford Street, Cambridge MA
Host Harvard Book Store, in the Harvard Science Book Talks series
Co-hosts Harvard Division of Science, Harvard Library, Department of Mathematics, CMSA
Tickets RSVP required; free, or book-included (listing range $0-$30); no refunds
Format In person; talk, then book signing

Terence Tao (UCLA; Fields Medal, MacArthur, Breakthrough Prize) discusses Six Math Essentials, his first popular math book: six ideas, each named in the publisher's description as a gateway. Numbers to quantitative thinking, algebra to abstraction, geometry to calculating beyond what can be seen, probability to reasoning under uncertainty, analysis to taming the very large and the very small, and dynamics as the mathematics of change.

Before the talk

Tao has written in public about AI and mathematics this year; the September 6 brief carries his post on solving problems "by purely AI-powered methods". A question worth bringing: which of the six ideas does he think a model handles least well, and why. A second, from the guest essays: the book is about what mathematics is for a reader who will not prove anything, which is the question forty-six mathematicians just answered on his blog for the people who do.

Six months of context

The talk is about a book of six ideas. The six months before it were about something else. Until September the blog was the usual mix: papers, "digestions" of results other people had found (unit distances, the Jacobian conjecture counterexample, the HRT counterexample, Sendov's conjecture), and small visualizers he built with coding agents. The August Kakeya post is the popular article the ICM asked him to write for Hong Wang, one of the four 2026 Fields medallists.

From 10 September most posts are guest essays, forty-six in under six weeks, most of them on what AI means for mathematics: from Fields medallists (Gowers, Hairer), a department chair, the Hodge conjecture's specialists, an open-letter coalition and an advisory group. His own posts in the same weeks are reading lists, statements, competitions and formal-proof infrastructure (SAIR's Open Math Model and Open Math OS, How to Formalize All of Mathematics). The research did not stop: the Euler blowup paper, and notes for his graduate course 247A.

The news around it ran the same way. Labs announced results in batches and withdrew some, the Clay Institute issued a Navier–Stokes announcement, and the field argued in public about credit, standards and what a theorem is for.

His own posts

All 38 posts on his blog in the window that are not marked as guest posts.

Date Post Kind
05-03 Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond paper
06-08 Modular Arithmetic Challenge challenge
06-09 On the proposed rule changes to the administration of federal grants opinion
06-16 Third SAIR competition: inverse Galois challenge challenge
07-03 A digestion of unit distance constructions expository
07-11 Gilbreath’s conjecture: a Cramér random model and a deterministic analysis research
07-11 Old and new apps, via modern coding agents app
07-12 A random variable visualizer app
07-13 A paper diagram visualizer app
07-14 Call for long programs, workshops, and summer schools at IPAM notice
07-14 Visualizing the Gilbreath expectation sequence app
07-16 Two more apps: visualizing the zeta process and the motions of the heavens app
07-21 A digestion of the Jacobian conjecture counterexample expository
08-06 A partial digestion of the HRT counterexample expository
08-12 A digestion of the proof of Sendov’s conjecture expository
08-18 Palomar – a registry of Lean verified mathematics formalization
08-20 Quantitative bounds for sets lacking polynomial progressions with shifted prime difference paper
08-22 Mathematical Discourse journal
08-25 Rotating needles in space: the road to the Kakeya conjecture, and why it matters expository
09-07 Finite time blowup with smooth forcing term for the incompressible porous medium, Boussinesq, and incompressible Euler equations paper
09-10 Crowdsourcing a list of general resources on AI and mathematics reading list
09-11 A Severe Misalignment of AI in Mathematics opinion
09-12 Crowdsourcing a list of general resources on the purpose, value, and nature of mathematics reading list
09-16 SAIR competition – Lean Kernel Challenge challenge
09-18 SAIR’s Open Math Model initiative formalization
09-20 247A, Notes 1: Rearrangement-invariant spaces course notes
09-25 ICIAM Statement on Mathematics and Artificial Intelligence statement
09-30 Two reports reports
10-01 arXiv updates its rate limiting policy notice
10-02 247A, Notes 2: The Hardy–Littlewood maximal function and applications course notes
10-10 Math 2.0 talk
10-12 Additional recent pieces on math and AI reading list
10-13 2026 AMS Committee on Education Workshop Report reports
10-14 First Proof, Third Batch webinar talk
10-15 Simons Foundation Launches $15M Effort To Help Mathematicians Navigate AI Era notice
10-16 How to Formalize All of Mathematics formalization
10-16 SAIR Open Math OS released formalization
10-17 Some of my recent talks and interviews talks

Guest posts on his blog

Forty-six. Read together, most of them are the profession's answer to the question in Before the talk.

Date Post Author
09-10 Stable singularity of the Euler equations on R^3 Anima Anandkumar
09-11 SAIR competition: Andrews-Curtis challenge Lucas Fagan
09-11 On the existence of non-sofic groups Andreas Thom
09-11 On the Hodge conjecture Burt Totaro
09-12 The status of the Hodge conjecture Claire Voisin
09-12 After Math Silvia De Toffoli and Eamon Duede
09-12 Wimbledon, the U.S. Open, and the future of mathematics Steven Strogatz
09-13 Happy, those able to know the causes of things Nestor Guillen
09-13 “Deep theorems were scarce and difficult and so became an effective mechanism to identify deep thought. AI has broken this system.” Bryna Kra
09-14 Why I do mathematical research Emily Riehl
09-15 The technical debt of AI-generated mathematics Henry Cohn
09-15 Fast math/slow math Ben Antieau
09-16 Open letter from Fellows of the Royal Society on AI existential risk Fellows of the Royal Society (open letter)
09-16 Let the Diners Into the Kitchen Noah Giansiracusa
09-16 Proofs, Prompts and Posts the editors of the communal blog Proofs and Prompts
09-17 Becoming a benchmark Talia Ringer
09-17 Why I didn’t sign the Fields medallists’ letter Timothy Gowers
09-17 A CERN for AI-assisted science? Dimitris Koukoulopoulos
09-18 If math is more than proof, we need to better celebrate the rest of it Grant Sanderson
09-19 Why Do We Need Human Mathematicians Anymore? Po-Shen Loh
09-21 Announcing the Advisory Group on Mathematics and Artificial Intelligence the Advisory Group on Mathematics and Artificial Intelligence
09-22 Open problems, open mathematics Antonio Auffinger
09-22 Why I agreed to join AGMAI Martin Hairer
09-23 Headlines and inside stories: understanding and trust in AI for mathematics, science, and engineering Tapio Schneider
09-24 We’re gonna need a lot more mathematicians Amit Sahai
09-25 Recommendations of the Summit on PhD Math Education in the Age of AI Bryna Kra and Rachel Ward
09-26 A value-based approach to mathematics Ivan Corwin
09-27 Cognitive Sanctuaries or: Manifesto of the Department Chair Jess Werk
09-28 Joint Statement about Mathathon a coalition of Caltech mathematicians
09-29 How AI does, and does not, change the way I do math Rachel Webb
10-02 AIM: an invitation to explore mathematics together Matthew Colbrook
10-03 What does the advent of powerful AI models mean for mathematicians like me? Jennifer Taback
10-04 On classical solutions and singularity formation in incompressible fluids Diego Córdoba and Luis Martínez-Zoroa
10-05 The Future of Mathematics Jeremy Avigad
10-05 Postdoc position on formal verification and algorithm discovery for numerical analysis Annalisa Buffa
10-06 Changes to the Erdős problems web site Thomas Bloom
10-06 Hexagon Ben Antieau
10-07 The barriers of perception Raghu Meka
10-07 AHM Statement on OpenAI’s October 6 Release of Mathematical Documents the Association for Human Mathematics
10-08 What should we tell our students? Álvaro Lozano-Robledo
10-09 What mathematicians should know about the Lean Theorem Prover: questions of reliability and AI Thomas Hales
10-11 Illustration beyond Proof Kate Stange and Edmund Harriss
10-12 This is normal bad work Sophie Huiberts
10-14 Call for stories: human–AI collaboration in recent mathematics Deanna Needell and Hayden Schaeffer
10-15 Why are we even doing all this? Rikab Gambhir
10-17 Starting a new journal Shaoming Guo

AI results, and the dispute over them

Seen Item Brief
05-25 An OpenAI model disproved a central conjecture in discrete geometry 05-25
06-24 Solutions, challenges and rising tensions in AI and mathematics 06-24
07-02 David Bessis: The Fall of the Theorem Economy 07-02
07-11 GPT-5.6 Sol Ultra produces proof of the Cycle Double Cover Conjecture 07-11
07-15 Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel 07-15
07-20 Claude Fable produced a counterexample to the Jacobian Conjecture 07-20
08-01 Ten advances in mathematics and theoretical computer science 08-01
08-04 OpenAI's Astra Solved Decades-Old Math Problems For $2,000 08-04
08-11 Learning more about Claude's mathematical capabilities (Anthropic) 08-11
08-14 Mathematicians are grappling with the possibility that AI might eclipse them 08-14
09-05 Formalizing Fermat's Last Theorem (Anthropic) 09-05
09-05 Kevin Buzzard: Anthropic has beaten me to it 09-05
09-09 OpenAI Says It Has Cracked One of Math's 'Millennium Problems' 09-09
09-09 What OpenAI's latest controversy tells us about the future of math 09-09
09-11 Andreas Thom: can researchers trust OpenAI with unpublished math? (Mathstodon) 09-11
09-12 OpenAI's feud with mathematicians is only escalating (TechCrunch) 09-12
09-12 Here & Now on OpenAI, an open problem, and credit (WBUR) 09-12
09-12 Navier-Stokes Announcement (Clay Mathematics Institute) 09-12
09-12 mathandai.org, companion site to A Severe Misalignment 09-12
09-15 Daniel Litt: A beginning for mathematics 09-15
09-16 NYU professor accuses OpenAI of copying his work (Slashdot) 09-16
09-22 OpenAI forms math advisory group as its AI resolves more than 100 open problems 09-22
10-07 Is AI the End of Math As We Know It? (Quanta) 10-07
10-07 Sharing AI progress in mathematics 10-07
10-07 OpenAI shares mathematics research catalogue 10-07
10-08 Scott Aaronson: The Mathocalypse 10-08
10-08 As AI Closed In on 'Unique Games' Proof, Researchers Raced to Beat the Machines 10-08
10-08 OpenAI Unleashes Hundreds More Math Results Upon a Field Already In Shock 10-08
10-09 OpenAI withdraws three mathematical results (@danintheory) 10-09
10-09 OpenAI's math solutions aren't meeting the field's standards yet 10-09
10-09 OpenAI, the Partition Principle, and Mathematics (karagila.org) 10-09
10-09 OpenAI Just Carpet-Bombed Mathematics (The Atlantic) 10-09
10-10 100+ reactions to 100+ solutions (Proofs and Prompts) 10-10
10-13 A look at the math that OpenAI claims computes faster Fourier transforms 10-13
10-14 AI is steamrolling through math. Why does that matter? 10-14
10-17 He Wants AI Benchmarking To Be a Science, Not a Dark Art 10-17

Notes

Notes pending.