Useful Links
A collection of mathematical resources, tools, and other useful websites.
Literature & Search
arXiv
Preprints, for everything.
ResearchGate
A repository and network for researchers.
Google Scholar
Citation counts and a quick way to find who has cited what.
MathSciNet
Reviews and citation data — subscription only.
zbMATH Open
Reviews and citation data — open to everyone.
Semantic Scholar
Paper search with citation context.
OpenAlex
An open catalogue of papers, authors and institutions.
News, Conferences & Schools
Group Theory News
A running calendar of group theory conferences and workshops around the world.
RepresentationTheory.ca
Upcoming conferences and meetings in representation theory.
Mathematics Meetings — groups and algebras
Conferences, workshops and summer schools; the site covers every area, and this link is filtered to group theory and algebra.
The Geometric Group Theory Page
A directory for geometric group theory and low-dimensional topology — people, organizations, conferences, journals and problem lists.
ATM Schools (NCM)
The National Centre for Mathematics’ annual schools and workshops in India.
ICTS, Bengaluru
Programmes, schools and discussion meetings at the International Centre for Theoretical Sciences, often several months long.
Useful Tools
Matrix calculator
A handy way to check a matrix computation — and it accepts variable entries, not just numbers.
Simple Lie Algebra Roots & Weights
Give it a type XN and a highest weight; it returns the Cartan matrix, the Dynkin diagram and the weights.
quiver
A commutative diagram editor that exports tikz-cd.
Detexify
Draw a symbol with the mouse and it tells you the LaTeX command.
WolframAlpha
Quick symbolic and numerical answers.
SageMathCell
Run Sage in the browser, with nothing to install.
Magma Calculator
Magma in the browser, no licence needed — sixty seconds per run.
GAP
Computational discrete algebra, with large libraries of groups and character tables.
Reference, Databases & History
MathWorld
A broad encyclopedia of mathematical definitions and identities.
The Stacks Project
An open, fully cross-referenced textbook on algebraic geometry.
nLab
A collaborative wiki on mathematics, written from a category-theoretic point of view.
LMFDB
Databases of L-functions, modular forms and abstract groups — twisted Chevalley groups among them.
ATLAS of Finite Group Representations
Representations, generators and maximal subgroups for the finite simple groups.
MacTutor History of Mathematics
Biographies of mathematicians, kept at St Andrews.
The 200 Greatest Mathematicians
One writer’s ranked list, argued at length.
Bhāvanā
A quarterly magazine on mathematics and the people who do it, published from India.
Community & Blogs
Terence Tao’s blog, What’s new
Expository notes, lecture material and research updates across a wide sweep of mathematics.
Peter Cameron’s blog
A group theorist writing regularly about groups, conferences and the life of the subject.
MathOverflow
Research-level questions and answers.
Mathematics Stack Exchange
The same format, pitched below research level.
Quora
General-purpose question and answer site.