∑math20

A reading room for the openai/math collection

372 results.
719 papers.
One map.

Browse the machine-produced mathematics released in openai/math by area and by result. Every result opens onto its papers, a short introductory video, and video explanations of the proof.

Explore the mapAll 372 results

▶A tour of the collectionin preparation

The map

Each square is one result, grouped by discipline. Filled squares have a Lean formalization. Hover to read a title, click to open it.

Geometry & TopologyDiscrete Mathematics & ComputationAnalysisNumber Theory & AlgebraProbability & Mathematical Physics Lean formalizationnone listed

Areas

The repository files every result under one of 17 disciplines. We group them into five areas.

01

Geometry & Topology

Shapes, spaces and the invariants that tell them apart. · 98 results

02

Discrete Mathematics & Computation

Graphs, counting, logic, and the limits of efficient computation. · 83 results

03

Analysis

Functions, operators, equations, and how they behave in the limit. · 74 results

04

Number Theory & Algebra

Integers, primes, groups and the structures built on them. · 63 results

05

Probability & Mathematical Physics

Randomness, statistical mechanics and the mathematics of physical models. · 54 results

How to read a result

  1. 1Watch the introduction. A few minutes on what the problem is and why people care.
  2. 2Follow the explanation. One or more videos walking through the presented solution.
  3. 3Read the papers. The PDFs, their abstracts, and a citation for each.
  4. 4Check what was verified. Where a Lean formalization exists, its scope in plain words.