Where mathematicians read, ask and publish
A practical guide to the websites, communities, databases, journals,
societies and tools that mathematicians use and follow: what each one is,
whether it needs a login, and how to take part.
1. How logins work
Not every website requires an account. There are four kinds of access,
marked in the tables with these symbols:
| Symbol |
Kind of access |
What to do |
 |
Free, no login |
Just open the website. |
 |
Free personal account |
Sign up, preferably with your institutional e-mail: many websites use the university domain to confirm a research affiliation. |
 |
Institutional access |
The website is paid, but universities subscribe to it. Access works through the university network, VPN or institutional login (in Brazil, through the CAPES Journal Portal; see section 14). |
 |
Paid |
Membership fee or subscription, almost always with a student discount. |
Tip: use a password manager (the browser's own is fine) and keep all
your identifiers in one place: ORCID, Google Scholar, Scopus, MathSciNet…
2. Where to start: a checklist
A suggested order, from most important to optional:
ORCID: create your permanent researcher identifier.
Institutional access: test access to paid databases from off campus.
Google Scholar: create a profile and set up alerts.
arXiv: create an account and subscribe to the daily listing of your categories.
zbMATH Open and MathSciNet: check whether an author profile already exists.
MathOverflow and Math.SE: create a Stack Exchange account.
Journal alerts: choose three or four journals in your research area.
ResearchGate: create a profile (optional).
Societies: consider membership (discounts on meetings and books).
3. Academic identity
Profiles that identify a researcher and gather their work.
| Website |
What it is |
Access |
How to take part |
| ORCID |
A unique, permanent researcher identifier (a number like 0000-0002-…). It avoids confusion between similar names and is requested by journals at submission and by funding agencies. |
 |
Sign up under Register, add education and affiliation, and authorize the connection with Scopus, Web of Science and other systems so that publications are added automatically. |
| Google Scholar |
Article search and researcher profiles with citation counts. |
 |
Under My profile, create a profile with a Google account, confirm your institutional e-mail and add your publications. Alerts (the envelope icon) e-mail you new papers on a topic or by an author. |
| ResearchGate |
Academic social network: profile, publications, followers and a Q&A section. |
 |
Sign up with an institutional e-mail. Follow researchers and share versions of your papers when the journal allows it. |
| Academia.edu |
Similar to ResearchGate, more popular in the humanities. |
 |
Optional. |
| Web of Science Researcher Profiles |
Author profile in the Web of Science database (Clarivate). It replaced Publons and also records peer reviews done for journals. |
+  |
The profile is free; full database search requires institutional access. |
| Scopus Author ID |
Author identifier in the Scopus database (Elsevier), created automatically from your first indexed publication. |
 |
Nothing to create: after your first paper, search for your name, check the data and link the profile to ORCID. |
| Mathematics Genealogy Project |
The family tree of mathematics: who advised whom, going back centuries. |
 |
After the PhD defense, submit your data through the website's form. |
4. Databases and literature search
| Website |
What it is |
Access |
How to use it |
| arXiv (math) |
The preprint server: almost every mathematics paper appears here before (or besides) the journal. Categories follow the subject areas, for example math.AP (analysis of PDEs), math.DS (dynamical systems) and math.FA (functional analysis). |
to read · to submit |
Reading is free. To receive new papers by e-mail every day, subscribe under Help → Subscribe. Submitting requires an account, and first-time submitters to a category may need an endorsement from someone who already publishes there. |
| MathSciNet |
The American Mathematical Society database: reviews of almost every mathematics paper, with author profiles and citations. |
/  |
Through your university network. Author search shows your MR Author ID. |
| zbMATH Open |
The European counterpart of MathSciNet, free since 2021. Supports formula search and search by MSC classification. |
 |
No account needed. Errors in an author profile can be corrected through a form. |
| Web of Science |
Multidisciplinary database with citation indexes and journal impact factors. |
 |
Useful to find out who cited a paper. |
| Scopus |
Elsevier's multidisciplinary database, with journal and author metrics. |
 |
Also shows citations and author profiles. |
| OEIS |
The On-Line Encyclopedia of Integer Sequences. |
· to contribute |
Type the first terms of a sequence and find out what it is. |
| nLab |
A wiki for advanced mathematics (categories, topology, mathematical physics). |
 |
Free to read. |
Predatory journals: be wary of journals not indexed in the databases
above and of e-mail invitations to publish "quickly" for a fee.
5. Questions, answers and discussion
| Website |
What it is |
Access |
How to take part |
| Mathematics Stack Exchange |
Questions and answers about mathematics at any level. |
to read · to take part |
Follow tags you care about and answer questions: it is the best way to earn reputation (which unlocks privileges) and to practise mathematical writing. |
| MathOverflow |
Research-level questions, answered by many well-known mathematicians. |
 |
Uses the same Stack Exchange account. Read How to ask first: questions should be precise, with context and references. |
| Lean Zulip |
Chat of the Lean proof formalization community. |
 |
Create an account and join the #new members channel. |
6. Mathematicians' blogs
All free to read. To follow them, use "Follow" (WordPress), e-mail
subscription or an RSS reader.
| Blog |
Author |
Why follow it |
| What's new |
Terence Tao (Fields Medal) |
Analysis, PDE, Navier–Stokes, and excellent career advice for students and young researchers. |
| Gowers's Weblog |
Tim Gowers (Fields Medal) |
Combinatorics, analysis and reflections on academic life. |
| Combinatorics and more |
Gil Kalai |
Combinatorics and community news. |
| The n-Category Café |
Several authors |
Category theory and mathematical physics. |
7. Outreach and history
| Website |
What it is |
Access |
How to follow |
| Quanta Magazine |
The reference in mathematics and science journalism. |
 |
Subscribe to the free newsletter. |
| MacTutor |
History of mathematics and biographies of mathematicians. |
 |
Free to read. |
| 3Blue1Brown |
Animated videos explaining mathematical ideas. |
 |
Subscribe on YouTube. |
| Numberphile |
Short videos with mathematicians explaining curious topics. |
 |
Subscribe on YouTube. |
8. Journals
How to follow a journal: on the journal's website, look for "Sign up for
alerts", "Table of contents alerts" or "RSS" to receive the contents of
each new issue by e-mail. This usually needs a free account with the
publisher (Springer, Elsevier, Wiley…). Full texts usually require
institutional access
.
General and most prestigious
| Journal |
Publisher |
| Annals of Mathematics |
Princeton University / IAS |
| Acta Mathematica |
Institut Mittag-Leffler |
| Inventiones Mathematicae |
Springer |
| Journal of the American Mathematical Society (JAMS) |
AMS |
| Publications Mathématiques de l'IHÉS |
Springer / IHÉS |
Analysis, PDE and dynamical systems
| Journal |
Publisher |
| Communications on Pure and Applied Mathematics |
Wiley |
| Archive for Rational Mechanics and Analysis |
Springer |
| Analysis & PDE |
MSP |
| Journal of Differential Equations |
Elsevier |
| Journal of Functional Analysis |
Elsevier |
| SIAM Journal on Mathematical Analysis |
SIAM |
| Journal of Mathematical Fluid Mechanics |
Springer |
| Discrete and Continuous Dynamical Systems |
AIMS |
| Evolution Equations and Control Theory |
AIMS |
| Applicable Analysis |
Taylor & Francis |
9. Societies, institutes and prizes
| Institution |
What it is |
How to take part |
| AMS — American Mathematical Society |
The largest mathematical society in the world. |
Membership with a student discount; much content is free. |
| SIAM — Society for Industrial and Applied Mathematics |
Applied mathematics, PDE and scientific computing. |
Membership with a student discount. |
| EMS — European Mathematical Society |
The European mathematical society. |
Optional. |
| IMU — International Mathematical Union |
Organizes the ICM, the International Congress of Mathematicians (every four years), where the Fields Medal is awarded. |
ICM lectures are available on video. |
| Abel Prize |
One of the most important prizes in mathematics, awarded every year. |
Announcements and laureate lectures. |
Brazilian societies and institutes are listed in section 14.
10. Lectures, schools and events
| Place |
What it offers |
Access |
| IAS — Institute for Advanced Study |
Recorded lectures and seminars. |
 |
| IHÉS |
Lectures and courses from the French institute on YouTube. |
 |
| SLMath (formerly MSRI) |
Workshop videos; summer schools by application. |
/ application |
| ICTP — Trieste, Italy |
International schools and workshops, often with financial support for researchers from developing countries. |
Application for each activity |
| Mathematics Calendar (AMS) |
Worldwide calendar of mathematics conferences. |
 |
11. Social networks for mathematicians
| Network |
What it is |
How to take part |
| Mathstodon |
A Mastodon community for mathematicians, with LaTeX support. Several well-known mathematicians, such as Terence Tao, post there. |
Create an account and follow researchers you are interested in. |
| Tool |
What it is for |
Access |
| Overleaf |
Writing LaTeX online, with collaboration and GitHub integration. |
 |
| GitHub |
Version control for texts and code, websites, and automatic PDF builds. |
 |
| Zotero |
Managing references and generating BibTeX bibliographies. |
/ to sync |
| SymPy and SageMath |
Symbolic computation in Python, to check computations. |
 |
| Lean and mathlib |
Computer-verified proofs, a fast-growing field. |
 |
| Detexify |
Draw a symbol and find its LaTeX command. |
 |
13. Stack Exchange communities
They all use the same account: once you have one, just click Join on
each community.
| For… |
Communities |
| Research and academic life |
Mathematics · MathOverflow · Academia · Computational Science · History of Science and Mathematics · TeX – LaTeX |
| Languages |
Chinese Language · Italian Language · Portuguese Language · Language Learning |
| Science and culture |
Biology · Astronomy · Space Exploration · Literature · Music: Practice & Theory · Medical Sciences |
| Websites and GitHub |
Stack Overflow (tags html, css, github-pages, github-actions) |
14. For researchers in Brazil
| Website |
What it is |
Access |
How to take part |
| CAPES Journal Portal |
The gateway to paid journals and databases (Web of Science, Scopus, MathSciNet and others), subscribed by the federal government for universities. |
 |
Click Acesso CAFe, choose your university and sign in with your institutional login. It also works off campus. |
| Lattes Platform (CNPq) |
The official research CV in Brazil, required in graduate programs and funding calls. |
 |
Keep it up to date and add your ORCID in the dedicated field. |
| Qualis CAPES / Sucupira Platform |
The Brazilian journal ranking (A1, A2, …), used to evaluate graduate programs. |
 |
Check it before choosing where to publish. |
| IMPA — Instituto de Matemática Pura e Aplicada |
The country's leading mathematics research institute. |
 |
Summer programs, events and many lectures on YouTube; host of the Brazilian Mathematics Colloquium. |
| SBM — Brazilian Mathematical Society |
The national mathematical society. |
 |
Members get discounts on meetings and books. |
| SBMAC — Brazilian Society of Computational and Applied Mathematics |
Organizes CNMAC, the annual applied mathematics congress. |
 |
Membership with a student discount. |
| CAPES and CNPq |
The federal funding agencies (scholarships and grants). |
 |
Registration through Lattes and each call's system. |