
My field of research are cohomological structures in global analysis in the presence of symmetry. These symmetries are mostly described by Lie groups (which may be infinitedimensional) or Lie groupoids and their associated Lie algebras and Lie algebroids. More precisely, I often work with the following concepts:
 Cohomology of Lie groups (continuous, smooth, topological, SegalMitchison, bounded, measurable, ...) and the related differential geometric structures (flat bundles, symmetric spaces, ...)
 Lie groupoids, Lie algebroids and their relation to infinitedimensional Lie theory
 String geometry, in particular the string (2)group, its representations and higher gauge theory in general
 Infinitedimensional Lie groups (mapping and gauge groups, diffeomorphism groups) and their cohomological invariants
My publications on Google Scholar, arXiv, MathSciNet, Zentralblatt MATH

Integrating central extensions of Lie algebras via Lie 2groups (with Chenchang Zhu) 34 pp., J. Eur. Math. Soc. (to appear) (arXivversion)

The Lie group of bisections of a Lie groupoid (with Alexander Schmeding),
Ann. Glob. Anal. Geom. 48 (1) (2015) 87123 (arXivversion)

A Cocycle Model for Topological and Lie Group Cohomology
(with Friedrich Wagemann), Trans. Amer. Math. Soc. 367 (2015) 18711909
(arXivversion)

Making lifting obstructions explicit,
(with KarlHermann Neeb and Friedrich Wagemann) Proc. Lond. Math. Soc. (3) 106 (3) (2013) 589620
(arXivversion)

Universal central extensions of gauge algebras and groups,
(with Bas Janssens) J. Reine Angew. Math. 682 (2013) 129139
(arXivversion)

A Smooth Model for the String Group,
(with Thomas Nikolaus and Christoph Sachse) Int. Math. Res. Not. IMRN 16 (2013) 36783721
(arXivversion)

Topological Group Cohomology with Loop Contractible Coefficients,
(with Martin Fuchssteiner), Topology Appl., 159 (2012) 26272634
(arXivversion)

The diffeomorphism supergroup of a
finitedimensional supermanifold
(with Christoph Sachse),
Adv. Theor. Math. Phys. 15 (2011) 139
(arXivversion)

Categorified central extensions, étale Lie 2groups and Lie's Third Theorem for locally exponential Lie algebras,
Adv. Math., 228 (2011) 22182257
(arXivversion)

Principal 2bundles and their gauge 2groups,
Forum Math. 23 (3) (2011) 565610
(arXivversion)

Nonintegral central extensions of loop groups,
Contemp. Math. 519 (2010) 203214
(arXivversion)

Central Extensions of Groups of Section
(with KarlHermann Neeb),
Ann. Glob. Anal. Geom. 36 (4) (2009) 381418
(arXivversion)

Equivalences of Smooth and Continuous Principal Bundles with
InfiniteDimensional Structure Group
(with Christoph Müller),
Adv. Geom., 9 (4) (2009) 605626
(arXivversion)

A Generalisation of Steenrod's Approximation Theorem,
Arch. Math. (Brno) 45 (2009) 95104
(arXivversion)

Lie Group Structures on Symmetry Groups of Principal
Bundles,
J. Funct. Anal. 251 (2007) 254288
(arXivversion)

The Samelson Product and Rational Homotopy
for Gauge Groups,
Abh. Math. Sem. Univ. Hamburg 77 (2007) 219228
(arXivversion)

Smooth Extensions and Spaces of Smooth and
Holomorphic Mappings,
J. Geom. Symmetry Phys. 5 (2006) 118126
(arXivversion)
Preprints:

Functorial aspects of the reconstruction of Lie groupoids from their bisections (with Alexander Schmeding),
16 pp.

(Re)constructing Lie groupoids from their bisections and applications to prequantisation (with Alexander Schmeding),
45 pp.

Topological group cohomology of Lie groups and ChernWeil theory for compact
symmetric spaces,
25 pp.
 Higher structures in differential geometry
Lecture notes for a lecture given at the University of Hamburg, 2013 (preliminary draft, comments are welcome!)
 Infinitedimensional Lie Theory for Gauge Groups,
Dissertation, TU Darmstadt, 2006

Central Extensions of Gauge Groups,
Diploma Thesis, TU Darmstadt 2003

Differentialgeometrie,
Lecture notes, emerged from a lecture given by
J. Wallner, TU Darmstadt, 2001
I am member of the following third party funded research projects:
I am part of the organising committee of the Seminar Bremen  Hamburg  Kiel.
 07.06.2011, A smooth model for the string group, Topology and Analysis in Interaction (Cortona, Italy), sildes
 08.01.2011, Cohomology Theories for Lie Groups, Seminar Sophus Lie 2011 (Marburg, Germany), sildes
 24.05.2009, Higher connected covers by categorified principal bundles, Workshop on Topological Field Theories, (Northwestern University, USA), Extended notes by Alex Hoffnung
 19.05.2008, Gauge groups for lifting gerbes and principal
2bundles,
University of Paderborn (Germany)
slides
 31.05.2007, A bundletheoretic perspective
to KacMoody groups and their generalisations,
Colloquium of the
Graduiertenkolleg
Gruppen und Geometrie, (Göttingen, Germany)
slides
 02.11.2006, Approximation Theorems for Locally Convex
Manifolds, Lie Groups and Principal Bundles,
Seminar Sophus Lie 2006 (Vienna, Austria)
slides
 16.06.2006, Equivalences of continuous and smooth principal
bundles, 31. Süddeutsches Kolloquium
über Differentialgeometrie (Darmstadt, Germany),
slides
(in German)
 29.06.2005, Infintedimensional Lie theory for Gauge
Groups,
Workshop "Geometric
Methods in Physics" (Bialowieza, Poland),
abstract
,
slides
 11.06.2005, Infintedimensional Lie Theory for Gauge
Groups,
Seminar Sophus Lie 2005 (Nancy, France),
abstract,
slides
 15.09.2004, Zentrale Erweiterungen von Eichgruppen,
DMVJahrestagung 2004 (Heidelberg, Germany),
slides

