Projects per year
Personal profile
Research
My research interests are focused around the representation theory and harmonic analysis of Lie groups. At the moment I am mostly working on branching problems for unitary representations of real reductive groups and their relations to analytic number theory, partial differential equations and spectral theory.
Teaching
Fall 2025: Matematical analysis 1
Fall 2024: Matematical analysis 1
Spring 2024: Advanced calculus for engineers
Fall 2023: Fourier analysis
Spring 2023: Advanced calculus for engineers
Fall 2022: Fourier analysis, Analysis and geometry of locally compact groups
Spring 2022: Advanced calculus for engineers
Fall 2021: Fourier analysis
Spring 2021: Advanced calculus for engineers
Fall 2020: Lie groups
Spring 2020: Advanced calculus for engineers
Keywords
- Representation theory
- Harmonic analysis
- Lie groups
Areas of expertise
- Lie groups
- representation theory
- harmonic analysis
Fingerprint
Dive into the research topics where Jan Frahm is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
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Spectral Correspondences for Trees and Buildings
Frahm, J. (PI) & Arends, C. (Participant)
01/04/2023 → 31/03/2026
Project: Research
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Symmetry Breaking in Mathematics
Frahm, J. (PI), Weiske, C. (Participant), Ditlevsen, J. (Participant), Spilioti, P. (Participant), Bang-Jensen, F. J. (Participant) & Labriet, Q. (Participant)
01/08/2019 → 31/07/2024
Project: Research
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Edge Laplacians and Edge Poisson Transforms for Graphs
Arends, C., Frahm, J. & Hilgert, J., Jan 2025, In: Potential Analysis. 46 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access1 Citation (Scopus) -
Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules
Frahm, J., Weiske, C. & Zhang, G., Mar 2025, Symmetry in Geometry and Analysis, Volume 2: Festschrift in Honor of Toshiyuki Kobayashi. Singapore: Birkhäuser Verlag, p. 197-226 30 p. (Progress in Mathematics, Vol. 358).Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review
File29 Downloads (Pure) -
Nets of standard subspaces on non-compactly causal symmetric spaces
Frahm, J., Neeb, K.-H. & Ólafsson, G., Mar 2025, Symmetry in Geometry and Analysis: Festschrift in Honor of Toshiyuki Kobayashi. Pevzner, M. & Sekiguchi, H. (eds.). Birkhäuser Verlag, Vol. 2. p. 115-195 81 p. (Progress in Mathematics, Vol. 358).Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review
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Realization of unitary representations of the Lorentz group on de Sitter space
Frahm, J., Neeb, K.-H. & Ólafsson, G., 8 Jan 2025, In: Indagationes Mathematicae. 36, 1, p. 61-113 53 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Restricting holomorphic discrete series representations to a compact dual pair
Frahm, J. & Labriet, Q., Mar 2025, Symmetry in Analysis and Geometry: Festschrift in Honor of Toshiyuki Kobayashi. Pevzner, M. & Sekiguchi, H. (eds.). Birkhäuser Verlag, Vol. 2. p. 95-113 19 p. (Progress in Mathematics, Vol. 358).Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research › peer-review
File51 Downloads (Pure)
Activities
- 2 Editor of Research journal
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Forum Mathematicum (Journal)
Frahm, J. (Editor)
Sept 2019 → Dec 2023Activity: Publication peer-review and editorial work types › Editor of Research journal › Communication
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Journal of Lie Theory (Journal)
Frahm, J. (Editor)
Jan 2019 → …Activity: Publication peer-review and editorial work types › Editor of Research journal › Communication