LMF:L-Functions and Modular Forms
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) running from 1 June 2013 to 30 September 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.
PEOPLE
Investigators
Researchers
Our grant will fund several person-years for postdoctoral researchers. These have all now been appointed.- In Warwick:
- Samuele Anni, 1 October 2013 - 30 September 2016.
- Nicolas Mascot, 1 September 2014 - 31 August 2017.
- Aurel Page, 1 September 2014 - 31 August 2017.
- David Lowry-Duda, 1 September 2017 - 31 August 2019.
- In Bristol:
- Edva Roditty-Gershon, 15 August 2014 - 31 August 2018 (currently on maternity leave).
- Min Lee, 1 September 2014 - 31 August 2017.
- David Platt, 1 September 2015 - 31 August 2018.
Project Partners
- Fernando Rodriguez Villegas (Abdus Salam ICTP)
- David Farmer (American Institute of Mathematics)
- William Stein (University of Washington, Seattle)
- Michael Rubinstein (University of Waterloo)
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)
Administration
- Project administrrator
- Christine Richley
- EPSRC contact
- Jan Taylor
THE LMFDB PROJECT
- 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.
WORKSHOPS
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".
- Workshop 1: Bristol, 9-22 September 2013
- Related NSF workshop: Curves and Automorphic Forms, Arizona State University, 10-14 March 2014.
- Workshop 2: Warwick, 2-6 June 2014
- Workshop 3: Workshop on L-functions and Modular Forms, ICTP Trieste, 7-12 September 2014.
- Related NSF workshop: Computational Representation Theory in Number Theory, July 27-31, 2015 Oregon State University Corvallis, Oregon, USA.
- Related ICERM workshop: Modular Forms and Curves of Low Genus: Computational Aspects , September 28 - October 2, 2015.
- Related ICERM workshop: Explicit Methods for Modularity of K3 Surfaces and Other Higher Weight Motives, October 19-24, 2015
- Related ICERM workshop: Computational Aspects of L-functions, November 9-13, 2015
- Focussed working group on classical modular forms database, Warwick 14-18 December 2015
- Workshop 4: Bristol, 21 March - 1 April 2016
- Workshop 5: AIM, 9-13 May 2016
- Related AIM workshop on Moments of zeta and correlations of divisor sums, August 29 to September 2, 2016
- Joint workshop with the "Langlands Programme - p-adic and Geometric Methods" project: Automorphic Forms: theory and computation, London, 5 - 9 September, 2016
- Focussed working group on mod-p modular forms, Warwick 11-13 September 2016
- Focussed working group on modular Galois representations , Warwick, 20-24 March 2017
- Workshop 6: Warwick, 12-16 June 2017
- Focussed working group on lattices, Warwick, 31 July - 4 August 2017
- Dissemination workshop: LMFDB as a microscope and a telescope, 4-6 September , 2019, AIM.
