Quantum resonances and scattering poles of classical rank one locally  symmetric spaces
B. Delarue, J. Hilgert, Journal of Lie Theory (n.d.).

Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, Analysis and Mathematical Physics 15 (2025).

Edge Laplacians and Edge Poisson Transforms for Graphs
C. Arends, J. Frahm, J. Hilgert, Potential Analysis (2025).

A pairing formula for resonant states on finite regular graphs
C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025).

Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, in: Symmetry in Geometry and Analysis, Volume 2, 2025.

Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik
M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.

Ruelle-Taylor resonances of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 3085–3147.

Mathematical Structures
J. Hilgert, Mathematical Structures, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.

Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem
T. Baier, J. Hilgert, O. Kaya, J.M. Mourão, J.P. Nunes, Journal of Geometry and Physics 207 (2024).

Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, Indagationes Mathematicae 36 (2024) 188–217.

Mathematische Strukturen 2. Auflage
J. Hilgert, Mathematische Strukturen 2. Auflage, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.

Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis &; PDE 16 (2023) 2241–2265.

Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.

Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.

Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.

Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.

High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.

Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.

Philip Ording: 99 Variations on a Proof. Princeton University Press 2019
J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.

Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020
J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.