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LMF:L-Functions and Modular Forms

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The research project LMF: L-functions and Modular Forms has been awarded a six year Programme Grant from EPSRC (grant reference EP/K034383/1, value £2,246,114) which will run from 1 June 2013 to 31 May 2019.

L-functions and modular forms are the keys to understanding so many interrelated problems in number theory. Understanding them, together with their higher-degree analogues, is a primary challenge of 21st-century mathematics which opens up future prospects of enhanced applications. Moreover, they provide a global structure which links together much of mathematics and other areas, so that understanding their inner workings and their relationships to other objects provides a framework for new mathematics.

Our slogan is

Breaking the boundaries of classical L-functions and modular forms, and exploring their applications to 21st-century mathematics, physics and computer science.

All data produced in the course of this project will be published on the LMFDB database and website. Both the database and website were hosted at Warwick since September 2013, on machines funded by this grant. Since April 2016, the public website and database have been hosted on the Google Cloud Platform (funded by a CompX grant from the Neukom Institute), while the development website and database remain in Warwick.



Our grant will fund a total of 18 person-years for postdoctoral researchers. These have all now been appointed.
  • In Warwick:
    • Samuele Anni, for three years 1 October 2013 - 30 September 2016.
    • Nicolas Mascot, for three years from 1 September 2014.
    • Aurel Page, for three years from 1 September 2014.
  • In Bristol:
    • Edva Roditty-Gershon, for three years from 15 August 2014 (currently on maternity leave).
    • Min Lee, for three years from 1 September 2014.
    • David Platt, for three years from 1 September 2015.

Project Partners

Scientific Steering Group

  • Sir Michael Berry FRS (Melville Wills Professor of Physics (Emeritus), University of Bristol
  • Kevin Buzzard (Professor of Mathematics, Imperial College)
  • Peter Sarnak FRS (Professor of Mathematics, Princeton University)
  • Nigel Smart (Professor of Cryptology, University of Bristol; Director, IACR)
  • Sir Andrew Wiles FRS (Royal Society Research Professor, UNiversity of Oxford)


Project administrrator
Christine Richley
EPSRC contact
Derek Craig


  • As well as the people named above who are directly involved with this EPSRC project, there is a very large group of collaborators in the wider LMFDB project without which this project would not be possible.


The project will hold two main workshops each year, mostly in Warwick and Bristol with some at AIM (Palo Alto) and at ICTP (Trieste), as well as smaller focussed group meetings (not listed). We also list here other LMFDB meetings not funded by this grant as "related workshops".