Morris Brooks
Graduate School
Seiringer Group
9 Publications
2025 | Published | Journal Article | IST-REx-ID: 19372 |

Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 2025;6(1):281-325. doi:10.2140/pmp.2025.6.281
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2024 | Published | Journal Article | IST-REx-ID: 17478 |

Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 2024;140:271-309. doi:10.1007/s10240-024-00150-0
[Published Version]
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| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks M, Maas J. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 2024;63(6). doi:10.1007/s00526-024-02755-z
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14441 |

Brooks M, Seiringer R. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 2023;404:287-337. doi:10.1007/s00220-023-04841-3
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Brooks M, Seiringer R. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. Probability and Mathematical Physics. 2023;3(4):939-1000. doi:10.2140/pmp.2022.3.939
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2022 | Published | Thesis | IST-REx-ID: 12390 |

Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 10585 |

Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106
[Published Version]
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9348 |

Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029
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| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9005 |

Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301
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Grants
9 Publications
2025 | Published | Journal Article | IST-REx-ID: 19372 |

Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 2025;6(1):281-325. doi:10.2140/pmp.2025.6.281
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17478 |

Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 2024;140:271-309. doi:10.1007/s10240-024-00150-0
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks M, Maas J. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 2024;63(6). doi:10.1007/s00526-024-02755-z
[Published Version]
View
| Files available
| DOI
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14441 |

Brooks M, Seiringer R. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 2023;404:287-337. doi:10.1007/s00220-023-04841-3
[Published Version]
View
| Files available
| DOI
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Brooks M, Seiringer R. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. Probability and Mathematical Physics. 2023;3(4):939-1000. doi:10.2140/pmp.2022.3.939
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Thesis | IST-REx-ID: 12390 |

Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390
[Published Version]
View
| Files available
| DOI
2021 | Published | Journal Article | IST-REx-ID: 10585 |

Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106
[Published Version]
View
| Files available
| DOI
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9348 |

Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9005 |

Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| PubMed | Europe PMC
| arXiv