Blogging has gained in popularity drastically in recent years, and mathematics-oriented blogs are likewise growing in both content and variety. Academics of all specializations are finding an active audience for their current, past, and future research endeavors. A blog is also a great place to explore ideas that may pertain to research, teaching, and learning, without being confined to the rigorous expectations of a peer-reviewed publication process. There are many aspects of life in academia that don’t have a place in traditional publications, so you can truly learn a lot from (and share a lot with) a global community of peers by reading and participating in blogs.

Below, I have collected a few notable blogs and math blog resources. As you browse through these sites, pay particular attention to the tone, level of discourse, and tricks used in blogs on mathematics that keep the conversation lively without losing so much rigorous mathematics as to make the post incomprehensible. (This collection is only a small sample of all possible blogs I could include here; if you come across a particularly interesting blog that you think should be included on this list, please post a link in the comments below).

• The American Mathematics Society (AMS) hosts several blogs on their website. Browse through the offerings to see that the focus ranges from helping working mathematicians utilize online resources, to a curated Blog on math blogs, and even a blog written by and for graduate students in mathematics.
• David Richeson (professor of mathematics at Dickinson and editor for Math Horizons) maintains a blog with many lively posts directed at (and motivated by) students in undergraduate mathematics courses, called Division by zero.
• Terence Tao (professor of mathematics at UCLA) keeps a fairly active blog called What’s new. Although most of his research, review, and lecture material is aimed at individuals with graduate-level training in mathematics, you will also find a very informative source for career advice (for K-12 all the way up to postdoctoral fellowships).