I am a Reader in Analysis at the University of Bath. I began as a harmonic analyst working on nilpotent Lie groups and representation-theoretic methods. Over time, this has led me from global and noncommutative harmonic analysis to pseudodifferential calculi, microlocal and semiclassical analysis, and spectral questions for non-elliptic operators.
A recurring theme in my work is the use of Lie-theoretic and geometric structures to develop calculi and understand high-frequency phenomena. More recently, I have become increasingly interested in the mathematical-physics side of these ideas, particularly quantisation and quantum dynamics.
My publications include
the monograph Quantization on Nilpotent Lie Groups (Birkhäuser, 2016), with Michael Ruzhansky, winner of the 2014 Ferran Sunyer i Balaguer Prize, and
the forthcoming memoir Quantization on Filtered Manifolds, with Clotilde Fermanian Kammerer and Steven Flynn.
From 2020 to 2024 I led the Leverhulme Trust project Quantum Limits for Sub-elliptic Operators.