I am a mathematician and Reader in Analysis at the University of Bath in the UK. 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.