T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.

J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024.

J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis &; PDE, vol. 16, no. 10, pp. 2241–2265, 2023.

K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023.

C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,”10.5802/jep.220__Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi:10.5802/jep.220 .

J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” J. de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023.

J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232, 2023.

J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023.

J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023.

J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.

J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023.

H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,”10.1016/j.jde.2022.10.001__Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi:10.1016/j.jde.2022.10.001 .

K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,”10.4171/jst/414__Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi:10.4171/jst/414 .

J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.

J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,”10.1007/s00591-021-00314-7__Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi:10.1007/s00591-021-00314-7 .

C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,”10.5802/ahl.67__Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi:10.5802/ahl.67 .

D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),”10.48550/arXiv.2008.07479__Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi:10.48550/arXiv.2008.07479 .

J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.

J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.

J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,”10.1007/s00591-021-00295-7__Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi:10.1007/s00591-021-00295-7 .