f. Franchesca Lemos Cappellesso

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 access Free, no login Just open the website.
Personal account Free personal account Sign up, preferably with your institutional e-mail: many websites use the university domain to confirm a research affiliation.
Institutional access 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 access 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. Personal account 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. Personal account 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. Personal account 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. Personal account 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. Personal account + Institutional access 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. Institutional access 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. Free access After the PhD defense, submit your data through the website's form.

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). Free access to read · Personal account 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. Institutional access / Paid access 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. Free access 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. Institutional access Useful to find out who cited a paper.
Scopus Elsevier's multidisciplinary database, with journal and author metrics. Institutional access Also shows citations and author profiles.
OEIS The On-Line Encyclopedia of Integer Sequences. Free access · Personal account 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 access Free to read.

Caution 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. Free access to read · Personal account 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. Personal account 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. Personal account 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. Free access Subscribe to the free newsletter.
MacTutor History of mathematics and biographies of mathematicians. Free access Free to read.
3Blue1Brown Animated videos explaining mathematical ideas. Free access Subscribe on YouTube.
Numberphile Short videos with mathematicians explaining curious topics. Free access 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 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

Community news

Journal What it is Access
Notices of the AMS The AMS magazine: accessible articles, news and opportunities. Free access
Bulletin of the AMS Survey articles on major areas of mathematics. Free access

9. Societies, institutes and prizes

Institution What it is How to take part
AMS — American Mathematical Society The largest mathematical society in the world. Paid access Membership with a student discount; much content is free.
SIAM — Society for Industrial and Applied Mathematics Applied mathematics, PDE and scientific computing. Paid access Membership with a student discount.
EMS — European Mathematical Society The European mathematical society. Paid access Optional.
IMU — International Mathematical Union Organizes the ICM, the International Congress of Mathematicians (every four years), where the Fields Medal is awarded. Free access ICM lectures are available on video.
Abel Prize One of the most important prizes in mathematics, awarded every year. Free access 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. Free access
IHÉS Lectures and courses from the French institute on YouTube. Free access
SLMath (formerly MSRI) Workshop videos; summer schools by application. Free access / 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. Free access

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. Personal account Create an account and follow researchers you are interested in.

12. Tools

Tool What it is for Access
Overleaf Writing LaTeX online, with collaboration and GitHub integration. Personal account
GitHub Version control for texts and code, websites, and automatic PDF builds. Personal account
Zotero Managing references and generating BibTeX bibliographies. Free access / Personal account to sync
SymPy and SageMath Symbolic computation in Python, to check computations. Free access
Lean and mathlib Computer-verified proofs, a fast-growing field. Free access
Detexify Draw a symbol and find its LaTeX command. Free access

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. Institutional access 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. Personal account 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. Free access Check it before choosing where to publish.
IMPA — Instituto de Matemática Pura e Aplicada The country's leading mathematics research institute. Free access Summer programs, events and many lectures on YouTube; host of the Brazilian Mathematics Colloquium.
SBM — Brazilian Mathematical Society The national mathematical society. Paid access Members get discounts on meetings and books.
SBMAC — Brazilian Society of Computational and Applied Mathematics Organizes CNMAC, the annual applied mathematics congress. Paid access Membership with a student discount.
CAPES and CNPq The federal funding agencies (scholarships and grants). Personal account Registration through Lattes and each call's system.