Publications

External links to my publications:

• My Google Scholar profile

• My arXiv papers

• My publications on MathSciNet (subscription required)

• My publications on Zentralblatt Math

Below is a complete list of my writings.

Preprints

1. A representation of the string 2-group
   together with Peter Kristel, Matthias Ludewig, August 2023
   arxiv:2308.05139  

2. Lie 2-groups from loop group extensions
   together with Matthias Ludewig, March 2023
   arxiv:2303.13176  

3. The stringor bundle
   together with Peter Kristel, Matthias Ludewig, June 2022
   arxiv:2206.09797  

4. The insidious bicategory of algebra bundles
   together with Peter Kristel, Matthias Ludewig, April 2022
   arxiv:2204.03900  

5. Categorical symmetries of T-duality
   February 2022
   arxiv:2202.09187  

6. 2-vector bundles
   together with Peter Kristel, Matthias Ludewig, June 2021
   arxiv:2106.12198  

Accepted for publication

1. String structures and loop spaces
   Encyclopedia of Mathematical Physics (2nd edition), to appear
   arxiv:2312.12998  

2. Connes fusion of spinors on loop space
   together with Peter Kristel
   Compos. Math., to appear
   arxiv:2012.08142  

3. Smooth Fock bundles, and spinor bundles on loop space
   together with Peter Kristel
   J. Diff. Geom., to appear
   arxiv:2009.00333  

Journal articles

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 , together with 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 , together with 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 , together with Severin Bunk
   J. Homotopy Relat. Struct. 16.1 (2021): 75-153  arxiv:1911.09990  

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

6. Transgression of D-branes , together with 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 , together with 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 , together with 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 , together with Krzysztof Gawedzki, Rafal R. Suszek
    Rev. Math. Phys 25 (2013) 1350010  arxiv:1202.5808  

15. Lifting Problems and Transgression for Non-Abelian Gerbes , together with 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 , together with 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 , together with 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 , together with 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 , together with 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 , together with 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 , together with Urs Schreiber
    Homology, Homotopy Appl., 13(1), 143-203 (2011)  arxiv:0802.0663  

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

28. Bi-branes: Target Space Geometry for World Sheet topological Defects , together with 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 , together with 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 , together with Urs Schreiber, Christoph Schweigert
    Commun. Math. Phys. 274(1), 31–64 (2007)  arxiv:hep-th/0512283  

Proceedings

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 , together with 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  

Book contributions

1. Non-abelian gerbes and some applications in string theory  , together with 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 , together with 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 file  

Theses

• Algebraic Structures for Bundle Gerbes and the Wess-Zumino Term in Conformal Field Theory
  PhD thesis, Universität Hamburg, December 2007
  pdf file  

• The 2-Category of Bundle Gerbes
  Diploma thesis, Universität Hamburg, September 2006
  pdf file  

• Holonomie von Gerben im Wess-Zumino-Witten-Modell
  Diploma thesis, RWTH Aachen, November 2004
  pdf file