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Ulrik Bo Rufus Enstad

Image of Ulrik Bo Rufus Enstad
Room 1230
Username
Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 Oslo
Postal address Postboks 1053 Blindern 0316 Oslo
Other affiliations LINK-Centre for Learning and Education (Student)

Background

I am a postdoc at the University of Oslo. I previously led a three-year researcher project with international mobility funded by the Research Council of Norway with stays at Stockholm University and the University of Potsdam. I obtained my PhD from the University of Oslo in 2020 with supervisor Professor Nadia Larsen and co-supervisor Professor Franz Luef.

Research interests

My research focuses on the intersection of harmonic analysis and operator algebras. I am currently particularly interested in sampling and interpolation problems, especially their connections to point set dynamics and aperiodic order. I am also interested in the structure of operator algebras arising from groups and groupoids.

Articles

Preprints

  1. A  Balian-Low theorem for nilpotent Lie groups (with Jordy Timo van Velthoven). (2026) [arxiv]
  2. Exponential frames and Riesz sequences at the critical density (with Jordy Timo van Velthoven). (2025) [arxiv].
  3. A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras (with Hannes Wendt). (2025) preprint. [arxiv]
  4. Z-stability of twisted group C*-algebras of nilpotent groups (with Eduard Vilalta). (2025) preprint. [arxiv]

Publications

  1. On the Calderón sum formula for wavelet systems (with Jordy Timo van Velthoven). (2026) Revista Matemática Iberoamericana (to appear) [arxiv]

  2. Free actions of polynomial growth Lie groups and classifiable C*-algebras (with Gabriel Favre and Sven Raum). Journal of the Institute of Mathematics of Jussieu )(2026) 10.1017/S1474748026101960 [arxiv]

  3. Bessel duality of Gabor systems: A von Neumann algebraic perspective (with Franz Luef). Expositiones Mathematicae 43 (2025), no. 6, Paper No. 125741. 10.1016/j.exmath.2025.125741 [arxiv].

  4. Criteria for the existence of Schwartz Gabor frames over rational lattices (with Hannes Thiel and Eduard Vilalta). International Mathematics Research Notices (2025) no. 5. DOI: 10.1093/imrn/rnaf038. [arxiv]

  5. Coherent systems over approximate lattices in amenable groups (with Jordy Timo van Velthoven). Annales de l'Institut Fourier 75, No. 6, 2293-2315 (2025). DOI: 10.5802/aif.3687 [arxiv]

  6. Linear independence of coherent systems associated to lattices (with Jordy Timo van Velthoven). Bulletin of the London Mathematical Society 57 (2025) no. 2, DOI: https://doi.org/10.1112/blms.13226. [arxiv]

  7. A dynamical approach to sampling and interpolation in unimodular groups (with Sven Raum). Transactions of the American Mathematical Society 378 (2025) no. 03. DOI: https://doi.org/10.1090/tran/9326 [arxiv]

  8. Deformations and Balian-Low theorems for Gabor frames on the adeles (with Mads S. Jakobsen, Franz Luef and Tron Omland). Advances in Mathematics 410, Part B (2022). DOI: 10.1016/j.aim.2022.108771 [arxiv]

  9. Smooth lattice orbits of nilpotent groups and strict comparison of projections (with Erik Bédos and Jordy Timo van Velthoven). Journal of Functional Analysis 283, no. 6 (2022). DOI: 10.1016/j.jfa.2022.109572 [arxiv]

  10. On sufficient density conditions for lattice orbits of relative discrete series (with Jordy Timo van Velthoven). Archiv der Mathematik. (2022). DOI: 10.1007/s00013-022-01748-8 [arxiv]

  11. The density theorem for projective representations via twisted group von Neumann algebras. Journal of Mathematical Analysis and Applications 511, no. 2 (2022). DOI: 10.1016/j.jmaa.2022.126072  [arxiv]

  12. The Balian-Low theorem for locally compact abelian groups and vector bundles. Journal de Mathématiques Pures et Appliquées 139 (2020) 143-176. DOI: 10.1016/j.matpur.2019.12.005 [arxiv]

  13. Heisenberg modules as function spaces (with Are Austad). Journal of Fourier Analysis and Applications 26.2  (2020). DOI: 10.1007/s00041-020-09729-7 [arxiv]

  14. Time-frequency analysis on the adeles over the rationals (with Mads S. Jakobsen and Franz Luef). Comptes Rendus Mathématique 357 (2019) no. 2, 188-199. DOI: 10.1016/j.crma.2018.12.004 [arxiv]

Tags: Mathematics, Operator algebras
Published Aug. 22, 2016 4:37 PM - Last modified Oct. 5, 2026 9:06 PM

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