Fachbereich Mathematik 
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Christoph Wockel

Juniorprofessor
Fachbereich Mathematik
Bereich Algebra und Zahlentheorie
Bundesstraße 55 (Geomatikum)
20146 Hamburg

Raum 334
Tel.: +49 40 42838-5194
Fax: +49 40 42838-5190
E-Mail: christoph (at) wockel.eu

Office hour: Tue 15.45 - 16.45 and on appointment

Fields of Research Interest:

My research interests concern cohomological questions of (infinite-dimensional) Lie groups and Lie algebras and their applications in higher differential geometry. More specifically, I am interested in understanding different models for the string group and their resulting fundamental representations. Other topics that I work on are obstructions for integrating infinitesimal objects (like Lie algebras or Lie algebroids) to global ones (like Lie groups or Lie groupoids), as well as geometric constructions of central extensions of gauge algebras and equivariant mapping algebras.


Publications:

My publications on Google Citations, arXiv, MathSciNet, Zentralblatt MATH
  1. A Cocycle Model for Topological and Lie Group Cohomology, (with Friedrich Wagemann) 32 pp., Trans. Amer. Math. Soc. (to appear) (arXiv-version)
  2. Making lifting obstructions explicit, (with Karl-Hermann Neeb and Friedrich Wagemann) Proc. Lond. Math. Soc. (3) 106 (3) (2013) 589-620 (arXiv-version)
  3. Universal central extensions of gauge algebras and groups, (with Bas Janssens) J. Reine Angew. Math. 682 (2013) 129-139 (arXiv-version)
  4. A Smooth Model for the String Group, (with Thomas Nikolaus and Christoph Sachse) Int. Math. Res. Not. IMRN 16 (2013) 3678-3721 (arXiv-version)
  5. Topological Group Cohomology with Loop Contractible Coefficients, (with Martin Fuchssteiner), Topology Appl., 159 (2012) 2627-2634 (arXiv-version)
  6. The diffeomorphism supergroup of a finite-dimensional supermanifold (with Christoph Sachse), Adv. Theor. Math. Phys. 15 (2011) 1-39 (arXiv-version)
  7. Categorified central extensions, étale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras, Adv. Math., 228 (2011) 2218-2257 (arXiv-version)
  8. Principal 2-bundles and their gauge 2-groups, Forum Math. 23 (3) (2011) 565-610 (arXiv-version)
  9. Non-integral central extensions of loop groups, Contemp. Math. 519 (2010) 203-214 (arXiv-version)
  10. Central Extensions of Groups of Section (with Karl-Hermann Neeb), Ann. Glob. Anal. Geom. 36 (4) (2009) 381-418 (arXiv-version)
  11. Equivalences of Smooth and Continuous Principal Bundles with Infinite-Dimensional Structure Group (with Christoph Müller), Adv. Geom., 9 (4) (2009) 605-626 (arXiv-version)
  12. A Generalisation of Steenrod's Approximation Theorem, Arch. Math. (Brno) 45 (2009) 95-104 (arXiv-version)
  13. Lie Group Structures on Symmetry Groups of Principal Bundles, J. Funct. Anal. 251 (2007) 254-288 (arXiv-version)
  14. The Samelson Product and Rational Homotopy for Gauge Groups, Abh. Math. Sem. Univ. Hamburg 77 (2007) 219-228 (arXiv-version)
  15. Smooth Extensions and Spaces of Smooth and Holomorphic Mappings, J. Geom. Symmetry Phys. 5 (2006) 118-126 (arXiv-version)

Preprints:

  1. Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces, 25 pp.
  2. Integrating central extensions of Lie algebras via Lie 2-groups, (with Chenchang Zhu) 34 pp.


Notes and Theses:

  1. Infinite-Dimensional Lie Theory for Gauge Groups Dissertation, TU Darmstadt, 2006
  2. Central Extensions of Gauge Groups, Diploma Thesis, TU Darmstadt 2003
  3. Differentialgeometrie, Lecture notes, emerged from a lecture given by J. Wallner, 2001


Teaching:

SS 2014   Lecture: Algebraische und geometrische Strukturen in der Mathematik - Ein Überblick für Lehramtsstudierende
SS 2013   Lecture: Higher Structures in Differential Geometry
WS 12/13   Lecture: Algebra II
SS 2012   Lecture: Algebra
WS 11/12   Seminar: Funktionalanalysis
SS 2011   Lecture: Funktionalanalysis
WS 10/11   Softwarepraktikum
SS 2010   Seminar: Cohomology of Lie Algebras
SS 2010   Übungen zur Analysis 2 (von Ingo Runkel)
WS 09/10   Lecture: Infinite-dimensional Lie groups with a perspective to Mathematical Physics


Third Party Funding:

I am member of the following third party funded research projects:


Conferences that I (co-)organise(d):

I am part of the organising committee of the Seminar Bremen - Hamburg - Kiel.

Notes or slides for some talks that I gave:


 
  Seitenanfang  Impress 2014-01-24, Christoph Wockel