Web Resources

Reference tools, courses and communities. Selected articles: Study advice · Application experiences · All advice articles.

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MathOverflow

Research-level questions and answers; not a homework help forum.

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Mathematics Stack Exchange

Mathematical questions across many levels; include your own attempts.

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Polymath

Public collaborative projects and archives; historical projects may no longer be active.

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The n-Category Café

Categorical discussions, exposition and author viewpoints.

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Mathstodon

A mathematical social community; posts are not peer-reviewed sources.

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AMS Mathematical Communication

Resources for mathematical communication and presentations.

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Graduate Student Blog

Student perspectives; older posts do not establish current admissions requirements.

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LMS Newsletter

Community news and expository writing; date-check announcements.

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Notices of the AMS

Expository and professional articles; distinguish opinion from research.

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EMS Magazine

Mathematical exposition and professional perspectives.

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SageMath

Open mathematical computation across algebra, arithmetic and geometry.

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GAP

Software for computational discrete algebra and groups.

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PARI/GP

A number-theoretic computation system.

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Macaulay2

Computation in commutative algebra and algebraic geometry.

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Singular

Polynomial computation and computational algebra.

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Lean Community & mathlib

Libraries, documentation and learning routes for formal mathematics.

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Theorem Proving in Lean 4

A structured introduction to formal theorem proving.

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Rocq Prover

An interactive proof assistant formerly named Coq.

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Isabelle

A proof assistant with mature higher-order logic infrastructure.

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Agda

Dependent types, programming and formal proof documentation.

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Open Logic Project

Open modular logic teaching material.

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AIM Open Textbook Initiative

A portal to open mathematics textbooks.

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OpenStax Mathematics

Open introductory textbooks, not research monographs.

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LibreTexts Mathematics

Open teaching resources with varying authorship and course levels.

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Judson’s Abstract Algebra

An open algebra text with accessible formats.

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