Current position
Professor, Sorbonne Université
Senior Member, IUF
Contact
Institut de Mathématiques de Jussieu-Paris Rive Gauche
Sorbonne Université
4, Place Jussieu -- case 247
75252 Paris Cedex 05
France
Bureau 15-25.403
Email: brumley (at) imj-prg.fr
Research interests
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My research interests lie in the theory of analytic theory of automorphic forms on locally symmetric spaces, the Langlands program and trace formulae, automorphic periods and L-functions, ergodic theory, and arithmetic applications thereof.
One of my principal axes of research is the delocalisation properties of arithmetic eigenfunctions, in either the high frequency or large volume (Benjamini-Schramm) regime. Another is uniform automorphic counting problems and related statistical aspects, with respect to height-like truncation parameters. Yet another is higher rank equidistribution problems, especially in settings which require extended techniques in analytic number theory which complement ergodic theoretic methods.
Editorial activities
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I am a member of the editorial board of the Journal de Théorie des Nombres de Bordeaux and Mathematische Zeitschrift
French-Swiss binational ANR-SMF grant (2025-2028)
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I am the project coordinator on the French side for the binational grant Equidistribution in Number Theory, jointly funded by the Agence Nationale de la Recherche and the Fondation Nationale Suisse.