MathCode is a terminal AI coding assistant that converts plain language math problems into Lean 4 theorems and attempts formal proofs. It features a persistent Lean REPL, reusable theorem and axiom libraries, agentic proving, and integrates with an Obsidian knowledge graph, requiring macOS (arm64) or Linux (x86_64) and the codex CLI.

AI systems excel in solving mathematical problems due to their extensive symbolic working memory rather than superior reasoning abilities. Their performance is attributed to the absorption of vast amounts of mathematical examples and reinforcement learning techniques.

ChatGPT for Academic Researchers provides 100,000 scientists and mathematicians with free access to advanced ChatGPT models. An AI-generated disproof of the Erdős unit-distance conjecture was shared in May.

Artificial intelligence systems are now capable of generating research-level mathematics. Concurrently, the United States is diminishing the educational pipeline that cultivates individuals who can comprehend the outputs of these AI systems.

In July 2025, AI models successfully solved five out of six problems at the International Mathematical Olympiad, surprising mathematicians with their rapid advancement. Despite these impressive results, the impact of AI on research mathematics remains uncertain.