Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling
M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.

The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.

Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).

The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.

Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.

Translation-invariant quantum systems with effectively broken symmetry
M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.

Emergence of anyons on the two-sphere in molecular impurities
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).

Sharp tunneling estimates for a double-well model in infinite dimension
M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).

Molecular impurities as a realization of anyons on the two-sphere
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).