What's happening in the math universe
A hand-picked feed of breakthroughs, beautiful ideas, and resources we share with our students. Auto-updated twice a week from leading math sources — because math is more alive today than at any point in history.
Curated reading list
Stories worth your time — from rigorous breakthroughs to elegant explainers.
After 125 Years, Hilbert's Sixth Problem Sees a Major Breakthrough
Three mathematicians have made dramatic progress on Hilbert's sixth problem, deriving the equations of fluid motion rigorously from Newton's laws of particles.
AI Models Are Starting to Help Mathematicians Discover New Theorems
DeepMind's AlphaProof and AlphaGeometry 2 reached silver-medal performance at the International Mathematical Olympiad — a milestone for machine reasoning.
The Largest Known Prime Has Over 41 Million Digits
Luke Durant discovered M136279841, the 52nd known Mersenne prime — the first found using GPU computation, ending a six-year drought.
Mathematicians Finally Solved the Moving Sofa Problem
A 60-year-old puzzle about the largest shape that can navigate an L-shaped corridor has a proposed proof — Gerver's constant ≈ 2.2195.
The 2024 Fields Medals: Four Mathematicians Honored
June Huh, Maryna Viazovska, James Maynard, and Hugo Duminy-Copin received the Fields Medal — including the second woman ever to win.
Why Is This Shape So Hard to Find? Aperiodic Monotile 'The Hat'
A retired printing-systems engineer discovered the first single-tile shape that tiles the plane only non-periodically — solving a 60-year-old open question.
Terence Tao on How AI Will Change Mathematics
Fields medalist Terence Tao explains how proof assistants like Lean and large language models are quietly transforming how mathematicians work.
The Riemann Hypothesis: A New Bound on the Zeros
Larry Guth and James Maynard improved a key estimate that has stood since 1940 — a small but real step toward the most famous unsolved problem in math.
How a Teenager Solved a Stubborn Combinatorics Puzzle
Daniel Larsen — still a teenager — proved a long-conjectured result about Carmichael numbers, showing that originality matters more than seniority.
The Beauty of Euler's Identity: e^(iπ) + 1 = 0
Grant Sanderson's animated explanation of why the most famous equation in math is really a story about rotation in the complex plane.
Where to go deeper
If a student catches the math bug, these are the resources we recommend — from competition prep to university-level lectures and modern proof assistants.
Art of Problem Solving (AoPS)
CompetitionThe gold standard for competition math — courses, books (AoPS, Beast Academy), and an active community of math students worldwide.
Khan Academy — Math
Self-studyFree, structured lessons from arithmetic through multivariable calculus and linear algebra.
3Blue1Brown
VisualGrant Sanderson's animated essays on linear algebra, calculus, neural nets, and the beauty of math.
Numberphile
VideoFriendly video interviews with leading mathematicians on surprising and beautiful results.
Brilliant.org
InteractiveInteractive problem-based courses — great for building real intuition, not just memorizing.
Project Euler
Problems300+ math + programming problems that get progressively harder. Perfect for curious problem-solvers.
MIT OpenCourseWare — Mathematics
UniversityFull lecture notes, problem sets, and video lectures from MIT's undergraduate and graduate math courses.
Quanta Magazine — Mathematics
NewsBeautifully written reporting on the most important new ideas and results in modern mathematics.
AMC / AIME / USAMO (MAA)
CompetitionThe U.S. math olympiad pipeline — the path from your high school classroom to the IMO.
Lean & Mathlib
ModernA proof assistant where students can write rigorous mathematical proofs that the computer checks for them.
Found something you want to discuss?
Bring any of these articles to your next session — exploring real mathematics together is one of the best ways to fall in love with the subject.