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Veröffentlichungen und Preprints:

Lie-Theorie (unendlichdimensional):

1)  The Regularity Problem for Lie Groups with Asymptotic Estimate Lie Algebras, Indag. Math. 31 (2020), 1, 152-176.
     DOI:          10.1016/j.indag.2019.12.001
     Preprint:    arXiv:1804.10956v2 (math.FA), 27 pages, 2020.

2)  Differentiability of the Evolution Map and Mackey Continuity, Forum Math. 31 (2019), 5, 1139-1177.
     DOI:          10.1515/forum-2018-0310
     Preprint:    arXiv:1812.08777v3 (math.FA), 40 pages, 2019.

3)  The Strong Trotter Property for Locally μ-convex Lie Groups, J. Lie Theory 30 (2020), 1, 025-032.
     Link:          http://www.heldermann.de/JLT/JLT30/JLT301/jlt30003.htm 
     Preprint:    arXiv:1802.08923v2 (math.FA), 8 pages, 2018.

4)  Regularity of Lie Groups, Commun. Anal. Geom. 30 (2022), 1, 53-152.
     DOI:          10.4310/CAG.2022.v30.n1.a2
     Preprint:    arXiv:1711.03508v3 (math.FA), 72 pages, 2022.

5)  The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups, Ann. Glob. Anal. Geom. 63 (2023), 21.

     DOI:          10.1007/s10455-023-09888-y
     Preprint:    arXiv:2006.04145v2 (math.FA), 71 pages, 2023.

Lokalkonvexe Analysis:

6)  A C^k-Seeley-Extension-Theorem for Bastiani's Differential Calculus, Can. J. Math. 75 (2023), 1, 170-201.
     DOI:          10.4153/S0008414X21000596
     Preprint:    arXiv:2002.05125v2 (math.FA), 29 pages, 2023.

Differentialgeometrie:

7)  Symmetries of Analytic Curves, Differ. Geom. Appl. 74 (2021), 101687.
     DOI:          10.1016/j.difgeo.2020.101687
     Preprint:    arXiv:1601.06760v2 (math.DG), 77 pages, 2022.

8)  Decompositions of Analytic 1-Manifolds, Indag. Math. 34 (2023), 4, 752-811.

     DOI:          10.1016/j.indag.2023.02.003
     Preprint:    arXiv:1601.07139v2 (math.DG), 52 pages, 2022.

9)  A Characterization of Invariant Connections, SIGMA 10 (2014), 025, 25 pages.
     DOI:          10.3842/SIGMA.2014.025
     Preprint:    arXiv:1601.06760v3 (math.DG), 25 pages, 2015.

Mathematische Physik:

10) Uniqueness of the Representation in Homogeneous Isotropic LQC, Commun. Math. Phys. 354 (2017) 231-246.

      Co-authors:  J. Engle, Th. Thiemann
      DOI:             10.1007/s00220-017-2881-2
      Preprint:       arXiv:1609.03548v4 (gr-qc), 9 pages, 2017.

11) Kinematical uniqueness of homogeneous isotropic LQC, Class. Quant. Grav. 34, (2017) 014001.

      Co-author:    J. Engle
      DOI:             10.1088/0264-9381/34/1/014001
      Preprint:       arXiv:1604.08199v2 (gr-qc), 7 pages, 2016.

12) Invariant Connections in Loop Quantum Gravity, Commun. Math. Phys. 343 (2016) 1-38.
      DOI:          10.1007/s00220-016-2592-0
      Preprint:    arXiv:1307.5303v2 (math-ph), 33 pages, 2016.

13) Uniqueness of Measures in Loop Quantum Cosmology, J. Math. Phys. 56 (2015), 092303.
      DOI:          10.1063/1.4931397
      Preprint:    arXiv:1502.07789v2 (math-ph), 4 pages, 2015.

14) Projective Structures in Loop Quantum Cosmology, J. Math. Anal. Appl. 428 (2015), 2, 1005-1034.
      DOI:          10.1016/j.jmaa.2015.03.046
      Preprint:    arXiv:1309.0713v2 (math-ph), 28 pages, 2015.

Doktorarbeit (PhD Thesis):

15) Invariant Connections and Symmetry Reduction in Loop Quantum Gravity.
      Published at: http://nbn-resolving.de/urn:nbn:de:hbz:466:2-15277
      Preprint:        arXiv:1601.05531 (math-ph), 190 pages, 2016.

Diplomarbeit (Master Thesis):

16) Hochschild-Kohomologien von Observablenalgebren in der Klassischen Feldtheorie.
      Preprint:        arXiv:1009.4365v2 [math-ph] (math-ph), 176 pages, 2010.

Vorträge (talks):

​

  • 06/2023   Seminar Talk, Marburg.

  • 04/2022   Seminar Talk, Paderborn.

  • 09/2019   DMV-Tagung, Karlsruhe.

  • 06/2019   41. Nordwestdeutsches Funktionalanalysis-Kolloquium, Essen.

  • 06/2019   Seminar Sophus Lie, Greifswald.

  • 04/2019   Math in the Mill (Workshop), Sondheim von der Rhön.

  • 01/2019   Seminar Talk, Paderborn...

  • 03/2018   GDMV-Tagung, Paderborn.

  • 02/2018,  Seminar Talk (Guest), Paderborn.

  • 01/2018   Seminar Talk, Erlangen.

  • 08/2017   Invited Plenary Speaker on Loops 17 Conference, Warsaw.

  • 10/2015   Colloquium Talk, Florida Atlantic University.

  • 10/2015   FAUST Seminar Talk, Florida Atlantic University.

  • 06/2015   General Relativity and Gravitation: A Centennial Perspective, Penn State.

  • 02/2015   3rd EFI Conference on Quantum Gravity, Tux (Austria).

  • 02/2014   2nd EFI Conference on Quantum Gravity, Tux (Austria).

  • 01/2014   Invited Seminar Talk, University of Potsdam.

  • 10/2013   Invited Seminar Talk, University of Erlangen.

  • 09/2013   18th ÖMG Congress and Annual DMV Meeting, University of Innsbruck.

  • 07/2013   Loops 13, Perimeter Institute (Canada).

  • 06/2013   LQP32, University of Wuppertal.

  • 02/2013   Annual Meeting of the German Physical Society, Jena.

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