A database

The LMFDB is a database of mathematical objects arising in number theory and arithmetic geometry that illustrates some of the mathematical connections predicted by the Langlands program.

Click a heading on the left to browse, or go to a random page.


The first LuCaNT conference took place July 10-14, 2023 at ICERM. Thanks to everyone who attended! Conference proceedings will be published soon.

Check out the recently updated abstract groups database [beta].

Check out the new modular curves database [beta].

Learn more

Information is available regarding the source, reliability, and completeness of the database.

Knowls provide explanations when you need them.

Overview    LMFDB universe    Knowledge    Data

Citations and acknowledgments