Externe Verweise auf meine Publikationen finden Sie unter folgenden Links:

Nachfolgend finden Sie eine vollständige Liste meiner Arbeiten.


  1. A representation of the string 2-group
    mit Peter Kristel, Matthias Ludewig, August 2023

  2. Lie 2-groups from loop group extensions
    mit Matthias Ludewig, März 2023

  3. The stringor bundle
    mit Peter Kristel, Matthias Ludewig, Juni 2022

  4. The insidious bicategory of algebra bundles
    mit Peter Kristel, Matthias Ludewig, April 2022

  5. Categorical symmetries of T-duality
    Februar 2022

  6. 2-vector bundles
    mit Peter Kristel, Matthias Ludewig, Juni 2021

Zur Publikation angenommene Arbeiten

  1. String structures and loop spaces
    erscheint in Encyclopedia of Mathematical Physics (2nd edition)

  2. Connes fusion of spinors on loop space
    mit Peter Kristel
    erscheint in Compos. Math.

  3. Smooth Fock bundles, and spinor bundles on loop space
    mit Peter Kristel
    erscheint in J. Diff. Geom.

Artikel in Fachzeitschriften

  1. Geometric T-duality: Buscher rules in general topology 
    Ann. Henri Poincaré, 25, 1285–1358, (2024)   arxiv:2207.11799  

  2. Pontrjagin duality on multiplicative Gerbes , mit Jaider Blanco, Bernardo Uribe
    J. Noncommut. Geom. 17 (2023), 1469-1520  arxiv:2012.05056  

  3. Size and density control of skyrmions with picometer CoFeB thickness variations—observation of zero-field skyrmions and skyrmion merging , mit Christian Denker, Hauke Lars Heyen, Yannik Junk, Enno Lage, Jeffrey McCord, Markus Münzenberg, Sören Nielsen, Malte Römer-Stumm, Jakob Walowski
    J. Phys. D: Appl. Phys. 56 (2023) 495302 (11pp)   arxiv:2011.07336  

  4. Smooth Functorial Field Theories from B-Fields and D-Branes , mit Severin Bunk
    J. Homotopy Relat. Struct. 16.1 (2021): 75-153  arxiv:1911.09990  

  5. Fusion of implementers for spinors on the circle , mit Peter Kristel
    Adv. Math. Vol. 402 (2022), 108325  arxiv:1905.00222  

  6. Transgression of D-branes , mit Severin Bunk
    Adv. Theor. Math. Phys., Vol. 25, No. 5 (2021), pp. 1095-1198.  arxiv:1808.04894  

  7. Higher geometry for non-geometric T-duals , mit Thomas Nikolaus
    Commun. Math. Phys. 374, 317–366(2020)  arxiv:1804.00677  

  8. Parallel transport in principal 2-bundles 
    Higher Structures 2(1):57-115, 2018  arxiv:1704.08542  

  9. A global perspective to connections on principal 2-bundles 
    Forum Math. 30 (2017), no. 4, 809-843  arxiv:1608.00401  

  10. Transgressive loop group extensions 
    Math. Z. 286(1) 325-360, 2017  arxiv:1502.05089  

  11. String geometry vs. spin geometry on loop spaces 
    J. Geom. Phys. 97 (2015), 190-226  arxiv:1403.5656  

  12. Local Theory for 2-Functors on Path 2-Groupoids , mit Urs Schreiber
    J. Homotopy Relat. Struct. (2016) 1-42  arxiv:1303.4663  

  13. Spin structures on loop spaces that characterize string manifolds 
    Algebr. Geom. Topol. 16 (2016) 675–709  arxiv:1209.1731  

  14. The gauging of two-dimensional bosonic sigma models on world-sheets with defects , mit Krzysztof Gawedzki, Rafal R. Suszek
    Rev. Math. Phys 25 (2013) 1350010  arxiv:1202.5808  

  15. Lifting Problems and Transgression for Non-Abelian Gerbes , mit Thomas Nikolaus
    Adv. Math. 242 (2013) 50-79  arxiv:1112.4702  

  16. Transgression to Loop Spaces and its Inverse, III: Gerbes and Thin Fusion Bundles 
    Adv. Math. 231 (2012), 3445-3472  arxiv:1109.0480  

  17. Four Equivalent Versions of Non-Abelian Gerbes , mit Thomas Nikolaus
    Pacific J. Math., 264-2 (2013), 355-420  arxiv:1103.4815  

  18. Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion Bundles with Connection 
    Asian J. Math., Vol. 20, No. 1 (2016), pp. 59-116  arxiv:1004.0031  

  19. Global Gauge Anomalies in two-dimensional Bosonic Sigma Models , mit Krzysztof Gawedzki, Rafal R. Suszek
    Commun. Math. Phys. 302 (2), 513-580 (2011)  arxiv:1003.4154  

  20. Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps 
    Cah. Topol. Géom. Différ. Catég., 2012, Vol. LIII, 162-210  arxiv:0911.3212  

  21. Polyakov-Wiegmann Formula and Multiplicative Gerbes , mit Krzysztof Gawedzki
    J. High Energy Phys. 09 (2009) 073  arxiv:0908.1130  

  22. String Connections and Chern-Simons Theory 
    Trans. Amer. Math. Soc. 365 (2013), 4393-4432  arxiv:0906.0117  

  23. Bundle Gerbes for Orientifold Sigma Models , mit Krzysztof Gawedzki, Rafal R. Suszek
    Adv. Theor. Math. Phys. 15 (3), 621-688 (2011)  arxiv:0809.5125  

  24. Connections on non-abelian Gerbes and their Holonomy , mit Urs Schreiber
    Theory Appl. Categ., Vol. 28, 2013, No. 17, pp 476-540  arxiv:0808.1923  

  25. Multiplicative Bundle Gerbes with Connection 
    Differential Geom. Appl. 28(3), 313-340 (2010)  arxiv:0804.4835  

  26. Smooth Functors vs. Differential Forms , mit Urs Schreiber
    Homology, Homotopy Appl., 13(1), 143-203 (2011)  arxiv:0802.0663  

  27. Parallel Transport and Functors , mit Urs Schreiber
    J. Homotopy Relat. Struct. 4, 187-244 (2009)  arxiv:0705.0452  

  28. Bi-branes: Target Space Geometry for World Sheet topological Defects , mit Jürgen Fuchs, Christoph Schweigert
    J. Geom. Phys. 58(5), 576-598 (2008)  arxiv:hep-th/0703145  

  29. More Morphisms between Bundle Gerbes 
    Theory Appl. Categ. 18(9), 240-273 (2007)  arxiv:math/0702652  

  30. WZW Orientifolds and finite Group Cohomology , mit Krzysztof Gawedzki, Rafal R. Suszek
    Commun. Math. Phys. 284(1), 1–49 (2007)  arxiv:hep-th/0701071  

  31. Unoriented WZW Models and Holonomy of Bundle Gerbes , mit Urs Schreiber, Christoph Schweigert
    Commun. Math. Phys. 274(1), 31–64 (2007)  arxiv:hep-th/0512283  


  1. A Construction of String 2-Group Models using a Transgression-Regression Technique 
    Analysis, Geometry and Quantum Field Theory, edited by C. L. Aldana, M. Braverman, B. Iochum, and C. Neira-Jiménez, volume 584 of Contemp. Math., pages 99-115, AMS, 2012  arxiv:1201.5052  

  2. A Loop Space Formulation for Geometric Lifting Problems 
    J. Aust. Math. Soc. 90, 129-144 (2011)  arxiv:1007.5373  

  3. Bundle Gerbes and Surface Holonomy , mit Jürgen Fuchs, Thomas Nikolaus, Christoph Schweigert
    Proceedings of the 5th European Congress of Mathematics, edited by A. Ran, H. te Riele and J. Wiegerinck, EMS Publishing House, 2008, 167-197  arxiv:0901.2085  


  1. Non-abelian gerbes and some applications in string theory  , mit Christoph Schweigert
    Particles, Strings and the Early Universe : The Structure of Matter and Space-Time, edited by J. Haller and M. Grefe, Verlag Deutsches Elektronen-Synchrotron, 2018  arxiv:1807.05398  

  2. Gerbes and Lie Groups , mit Christoph Schweigert
    Developments and Trends in Infinite-Dimensional Lie Theory, edited by K.-H. Neeb and A. Pianzola, volume 600 of Progr. Math., Birkhäuser, 2010  arxiv:0710.5467  

  3. Surface Holonomy 
    Handbook of pseudo-Riemannian Geometry and Supersymmetry, edited by V. Cortés, IRMA Lectures in Mathematics and Theoretical Physics, EMS Publishing House, 2008  pdf-Dokument  


  • Algebraic Structures for Bundle Gerbes and the Wess-Zumino Term in Conformal Field Theory
    Dissertation, Universität Hamburg, Dezember 2007

  • The 2-Category of Bundle Gerbes
    Diplomarbeit, Universität Hamburg, September 2006

  • Holonomie von Gerben im Wess-Zumino-Witten-Modell
    Diplomarbeit, RWTH Aachen, November 2004