Terence Tao's "What's new" blog covers his research updates, expository papers on mathematics, discussion of open problems, and other maths-related topics. If you want to follow current work in analysis and partial differential equations, read expository explanations of advanced results, or see occasional commentary on how mathematics is changing, this blog is written for that audience. It is a personal academic blog rather than a course, journal, or news site, so the mix of topics follows what Tao and his guest authors are working on at a given time.
The main categories of posts
The blog's own description names four recurring strands:
- Research updates — announcements and explanations of new results, often with links to preprints or papers.
- Expository papers — longer write-ups that explain a body of mathematics to a general mathematical audience.
- Discussion of open problems — posts that frame questions the field has not resolved and describe approaches to them.
- Other maths-related topics — commentary, career advice, writing advice, and similar material.
Posts are tagged by subject area, so the most reliable way to judge fit is to scan the tags and headings rather than the blog as a whole.
Mathematics subject areas you will find
The visible posts on the front page show the range. A guest post by Diego Córdoba and Luis Martínez-Zoroa, "On classical solutions and singularity formation in incompressible fluids," is filed under expository and math.AP, with tags for the Euler equations and Navier–Stokes equations. That post discusses whether an initially regular fluid flow can develop a singularity in finite time, and describes constructing blow-ups through a cascade of vortex layers.
Another entry, "247A, Notes 2: The Hardy–Littlewood maximal function and applications," is course-style lecture notes in analysis. Taken together, these illustrate two common modes:
| Mode |
Example from the blog |
Who it suits |
| Expository survey of a research area |
Singularity formation in incompressible fluids |
Readers who want the state of a problem without reading every paper |
| Course notes |
Hardy–Littlewood maximal function and applications |
Students or self-learners following a topic systematically |
The subject tags are the practical filter. math.AP points to analysis of PDEs; other posts carry tags for general mathematics, opinion, and guest contributions.
Beyond pure mathematics
The blog also carries posts on the profession and on tools. One front-page item is "What does the advent of powerful AI models mean for mathematicians like me?", a guest post by Jennifer Taback filed under guest blog, math.GM, and opinion. Another is "arXiv updates its rate limiting policy," which is commentary on research infrastructure rather than mathematics itself.
There is also "AIM: an invitation to explore mathematics together," which points toward collaborative mathematical exploration. These posts are occasional rather than the core of the blog, but they are part of what it covers.
How to decide whether to follow it
- If you work in or study analysis, PDEs, or fluid dynamics, the expository and research posts are directly relevant.
- If you want teaching material, the numbered course notes (for example, the 247A series) are the closest thing to a structured sequence.
- If you are interested in how AI and new tools affect mathematical practice, the opinion and guest posts address that, though they are a minority of the content.
- If you need introductory or undergraduate-level exposition, note that much of the material assumes a research-level background; the course notes are the most accessible entry point.
One practical caveat: some guest posts were originally written in a different file format and converted using AI, as noted in the posts themselves. Treat those as you would any guest contribution — the mathematical content is attributed to the named authors, not to the conversion process.
Where to start
The blog offers a feed subscription, and the front page lists recent posts with their tags and comment counts. To judge fit quickly, open two or three posts in your area of interest and check whether the level and style match what you want; the tags and headings give you that information before you commit to reading a full expository paper.
User reviews (0)