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This page lists links to blogs, and online mathematical communities like forums and wikis. For links to main repositories of free books, lectures, videos, reviews and math papers see math archives and for a list of societies and institutions see math institutions. A higher level branch page is math resources. Math is here just a mnemo, this page partains also to the related areas of interest for $n$Lab like LaTeX, physics, philosophy, theoretical computer science etc.
For a quick introduction to math blogging, see
John Baez, What do mathematicians need to know about blogging? AMS notices, March 2010 (pdf)
See also MO question: most helpful math resources on the web, the directory of many math blogs with alerts on recent updates www.mathblogging.org.
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eom.springer.de – free online access to 8000 entries of Springer online Encyclopeadia of Mathematics
Geometry Gems – Resources for geometry teachers
GreenApples – Resources for new math teachers teachers
groupprops.subwiki.org, The Group Properties Wiki, by a graduate student at U. Chicago
Liber Mathematicae – site under construction, featuring a new free online journal and some expositional math resources
The nLab, or $n$-Category Lab, which you are reading right now!
Math Overflow has become a universal clearinghouse for questions and answers “of interest to mathematicians”, modeled on stackoverflow and daughters of http://area51.stackexchange.com, including math.stackexchange dedicated to lower level math questions (“MathUnderflow”), tex.stackexchange about TeX and LaTeX. The similar physicsoverflow.com is deprecated; use physics.stackexchange instead.
n-Forum For discussions about material (both maths and metas) here on the nLab.
the category theory mailing list (email discussion forum about category theory) and archives
ALGTOP mailing list archives
Art of Problem Solving – math school problems, math olympiads, talent search – features online forum with subforums in other languages and AoPS Resources including AoPSwiki, LaTeX forum section and LaTeX guide included.
Alasdair’s Musings Mainly (but not entirely) mathematics education and computer algebra systems.
Aleph Zero Categorical A blog mostly about algebra, counterexamples, and short proofs of random observations.
A Mind for Madness “Musings on art, philosophy, mathematics, and physics” (topics like differential geometry, homological algebra, but also belletristics)
AMS blogs several blogs under American Mathematical Society website
#angs@t / angs+ | antwerp noncommutative geometry seminar the group-blog accompanying the master-course ‘seminar noncommutative geometry’ given at Antwerp University (Belgium)
A Portion of the Book (blog of a math undergrad - last update January 2011)
AMS Graduate Student Blog (career advices, education and entertainment “for and by” math grad students)
Annoying Precision (algebra, representation theory, combinatorics, abstract nonsense, arithmetics)
Ars Mathematica (analysis, probability…)
Azimuth (stochastic processes, network theory, ‘green mathematics’ and expository fun stuff)
bit-player Math/computer science blog of science writer Brian Hayes (writer for American Scientist)
Calculatorius Math lessons, articles and formulas in algebra, geometry and other math topics together with online calculators.
category theory at community.livejournal (in Russian)
Climbing Mount Bourbaki (Akhil Mathew: Lie algebras, differential and algebraic geometry…)
Concrete Nonsense (combinatorics, Lie algebras, representation theory, algebraic geometry – last update August 2011)
Continuous Everywhere but Nowhere Differentiable blog of a Brooklyn high school math teacher
Chromotopy (“chromatic”) stable homotopy theory blog – last update August 2011
CSE Blog - quant, math, computer science puzzles ~ 250 Quant, Math & Computer Science Puzzles for Interview Preparation & Brain Teasing
CTK Insights A blog for teaching
degrees of freedom Math and Physics blog of Scientific American written by Davide Castelvecchi
dy/dan blog of Dan Meyer, a former high school math teacher now pursuing a Phd in math education – includes many videos for use in the classroom
Dan’s Geometrical Curiosities A collection of art and math projects by a Physics student, with help from a friend who likes blog posts.
Disquisitiones Mathematicae (dynamical systems, ergodic theory, radnomness in number sequences, Ricci flow)
Division by Zero (Dave Richeson: “A blog about math, puzzles, teaching, and academic technology”)
E. Kowalski’s blog (analysis, esp. summation formulas, probability distributions, stochastic processes…)
empg Edinburgh Mathematical Physics Group
Evolutionblog Mathematics and Politics blog by a college professor
Explaining Math math teaching with multimedia, screencasts
FFF Forking, Forcing and back&Forthing – a blog by 10 model theorists
Frank Morgan’s Blog (Riemannian and metric geometry, inequalities…)
F_un mathematics (“field with one element”)
GeomblogRuminations on computational geometry, algorithms, theoretical computer science and life
Geometry and combinatorics (Konrads Wanepoel)
Geometry and the Imagination (Danny Calegari: hyperbolic geometry, geometric group theory…)
God plays dice (probability, combinatorics, puzzles, financial math)
Good Math, Bad Math (dedicated to chasing math crackpots)
Gyre and Gimble (Charles Wells: foundations, categories, computer science)
Holomorphusion (commutative algebra, algebraic geometry – last updated April 2011)
Höchste Zeit, unsern Kurs zu ändern – model theory of fields and commutative algebra
Hydrobates (dynamical systems, differential equations, biomedical modelling)
Isomorphismes (maths about human beings)
Joel David Hamkins “mathematics and philosophy of the infinite”, foundations
Konrad Voelkel (motivic homotopy theory, arithmetic geometry, expository articles)
Learning Curves (mathematics education from the perspective of a retiring college professor; may contain vulgar language and expressions of anger)
London Number Theory Blog (arithmetics and arithmetic geometry)
Low Dimensional Topology group blog by Ryan Budney, Nathan Dunfield, Jesse Johnson, Daniel Moskovich and Henry Wilton
Martin’s Blog Martin Orr: algebraic geometry especially abelian varieties, Galois representations
mathbabe Blog on mathematical finance by former academic
Math-Blog (6 people blog: math books, university math, popular math etc.)
Mathblogging.com A compilation of math blogs sorted according to genre including the “weekly pics” of the hosts: Felix Breuer, Frederik von Heymann, and Peter Krautzberger
Mathcraft Math-inspired artwork and how-to info
Math Goes Pop! UCLA grad student writes about math in the media and pop culture
math for love Blog of mathematics education consultants includes puzzles, teaching tips, and philosophical musings
Math Monday The Museum of Mathematics will open in 2012 – this blog details its progress and fun math projects
Mathematical Mischief Josh attempts to cover a broad range of high school topics, developing free resources and funny insights into how maths is involved in our everyday world.
Mathematical Musings (Interactions of probability, statistical physics, topology, and combinatorics. Matthew Kahle)
Mathematics and Computation (Andrej Bauer, includes also topology and foundations–last update July 2011)
Mathematics Under the Microscope (Alexandre Borovik)
Mathlinks / Art of Problem Solving community, math olympiad style problems discussed
Mathlog (in German, variety of topics from Open Access journals to Klein groups and geometry)
Maxwell’s Demon (Edmund Harriss: vizualizing math and math art, building math sculptures)
Misapplied Math (Math (mainly statistics, probability, and stochastic control), data science, and CS)
Motivic Stuff (Andreas Holmstrom writes on Cohomology, homotopy theory, and arithmetic geometry)
Musings Mathematical and Otherwise (Edward Hughes - Algebraic Geometry and String Theory)
My research in geometry (Aleks Kleyn)
Nathaniel Johnston’s Blog (PhD student in quantum information – last update July 2011)
neverendingbooks (Lieven le Bruyn)
Nikita Markarian’s mathblog (derived algebraic geometry, dg-, $L_\infty, A_\infty, G_\infty$-algebras, operads, TQFT, BV formalism, Hochschild and cyclic (co)homology…–last updated July 2011)
Noncommutative Geometry (Connes, Khalkhali…)
Nuit Blanche (data/imager/sensory compression, pattern recognition, networking, internet, AI/machine learning, neuroscience)
NUMBERPLAY A New York Times blog on math/numeric puzzles by Pradeep Mutalik
Paramanand’s Math Notes A math blog by Paramanand Singh covering Algebra, Number Theory, Mathematical Analysis, Geometry among other topics
Phd plus Epsilon Adriana Salerno reflects on her life as a junior faculty member at a Liberal Arts college
Political Math Visualization of political information
Pronunciation of Mathematicians’ Names A blog about how to pronounce famous mathematicians’ names.
Proof Math is Beautiful Beautiful images of mathematical interest.
QED Insight (by Santo D’Agostino; mathematics, physics, education, pitched mainly to high school and undergraduate university students and teachers, with some material for lay people as well)
qrazydragon (math, books, internet, in Russian)
Quomodocumque University professor Jordan Ellenberg’s blog
Reasonable Deviations (control and dynamical systems, game theory, information, optimization, statistical mechanics, chemical kinetics, technology, puzzles by Rod Carvalho)
Rigorous Trivialities (mainly algebraic geometry, including well-organized introductory notes algebraic geometry from the beginning–last updated April 2011)
Secret Blogging Seminar run by 8 recent Berkeley Ph.D. graduates. “Sort of like a seminar, but with (even) more rude commentary from the audience.”
Sketches of Topology (colorful pictures, “visualizations of low dimensional topology”)
SymOmega (root systems, Weyl groups, buildings, algebraic groups…)
Tanya Khovanova’s math blog Light musings, puzzles and anecdotes concerning mathematics
Teaching College Math A blog about math, technology, and teaching.
The accidental mathematician (Izabella Laba: personal blog of a math professor, various topics, rarely even math)
The Endeavour (programming, general science, probability and statistics)
The Everything Seminar (“Geometry, topology, categories, groups, physics”; recently lots about experimental particle physics: LHC and CMS)
Theoretical atlas (Jeffrey Morton: groupoids, groupoidification, stacks, quantum physics, noncommutative geometry)
The Math Less Travelled Expository writing aimed to expose the beauty of mathematics to a general audience
The Numbers Guy Wall Street Journal’s math/economics blog by Carl Bialik
The Polymath Blog (Tim Gowers “polymath” group projects: number theory, polynomials, algorithms, complexity, …–last updated July 2011)
The Twofold Gaze (a grad student at NYU: genetic algorithms, inequalities, competitions)
The Unapologetic Mathematician (An expository “blath” by former academic John Armstrong)
Three-Toed Sloth (Cosma Shalizi: books, science, automata, complex networks, stochastic processes, numerics and simulation, arts, literature, politics)
Things of interest (Mathematica visualisations, puzzles)
Todd and Vishal’s blog–last updated January 2011
Travels in a Mathematical World Blog of a British mathematics educator
Uncover a few New blog of problems and teaching ideas
University of David Blog of an emeritus mathematical physicist.
Vi Hart’s blog Great videos and photos of mathematical art and story-telling
Victor Porton’s math blog (filters, posets, funcoids and reloids), abundant with self-centric claims of importance
What’s new (Terence Tao)
Wiskundemeisjes (A blog about mathematics for a general audience, written by Jeanine Daems and Ionica Smeets, in Dutch)
Wiskunde is sexy (Another blog about mathematics for a general audience, written by Rudi Penne and Paul Levrie, also in Dutch)
XOR’s hammer (logics and foundations–last updated July 2011)
Delta Epsilons A group blog focusing on algebra, representation theory, and Olympiad-style problem-solving –last update August 2010
Embûches tissues (computational algebraic geometry, commutative algebra) – last update March 2010
Geometric Group Theory (structured text with theorems, proofs and exercises in GGT) – last updated August 2009
Konrad Volkel blog (cohomology, geometry, topology); has also nice math resource list
Le Petit Chercheur Illustré (Signal processing and applied math– last updated August 2010)
Mathematics and Physics (Richard Borcherds – last update January 2008)
Mathematics Expressions (Colin Tan: complex geometry – last update April 2010)
mathlight (by an $n$lab regular–last update December 2010)
Noncommutative geometry with point, by a grad student at Kansas–last updated September 2010
The Rising Sea (Daniel Murfet on algebraic geometry, triangulated categories, sheaves…; lots of neat LaTeX notes–last updated December 2009)
Vivatsgasse 7 (Max Planck Bonn graduate students– last update November 2007)
Please see this page.
Azimuth John Baez’s new blog on environment, climate change, biodiversity, sustainable development and technology; from a perspective of a mathematical physicist; occasional topics with significant mathematical content
Luca Trevisan’s LaTeX to Wordpress converter
This nifty script fixes the eyestrain caused by poorly designed blog contrasts. 15 seconds to install, works for Firefox only.
Detexify for finding LaTeX symbols by drawing them.
LaTeX on Blogger for installing LaTeX on Blogger.