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David Loeffler: Research

My field of research is number theory. More specifically, I'm interested in the following (closely related) areas:

  • P-adic modular forms and automorphic forms
  • Locally analytic representation theory of p-adic groups
  • p-adic Galois representations and Iwasawa theory
  • Computational methods for automorphic forms

See also my publications page.

Euler systems notes

For an introduction to my research area, see the following lecture notes:

Magma scripts for non-paritious Hilbert modular forms

Here is some computer code for calculating Hilbert modular forms of non-paritious weight over real quadratic fields.

Study groups

Notes for a talk on Bernstein–Zelevinsky derivatives for the 2021 London study group

In spring 2014, Alex Bartel and I organised a study group on Galois cohomology; see here.

In summer 2011 I organised a study group on p-adic rigid analytic geometry; see here.

Notes and other junk

Some of the computer programs I have written can be found here; but newer versions of many of these are incorporated in Sage.