Christian Fleischhack

Universität Paderborn
Institut für Mathematik
Warburger Str. 100
33098 Paderborn

Office:	D1.201
Phone:	+49 5251 60-2628
Fax:	+49 5251 60-3836
E-mail:	christian.fleischhack[at]math.uni-paderborn.de

Emmy-Noether Group

The Emmy-Noether program of the Deutsche Forschungsgemeinschaft provides me with full funding of an independent junior research group. Details may be found here.

Teaching Information

This semester, I am teaching Mannigfaltigkeiten. Moreover, there will be an Oberseminar on Mathematical Physics running on a non-regular basis.

There are no fixed consultation hours scheduled. If you would like to contact me, please feel free to send me an e-mail. Or just check whether I am in my office.

For teaching in previous terms, please click here.

Research Interests

Functional Analysis (measures on topological spaces, operator algebras, ...)
Differential Geometry (stratifications, diffeomorphisms, ...)
Mathematical Physics (quantum geometry, quantum gravity, ...)
Quantization (loop quantization vs symmetry reduction, ...)

Publications

Books

Eva-Maria Engelen, Christian Fleischhack, Giovanni Galizia, Katharina Landfester (Hrsg.): Heureka – Evidenzkriterien in den Wissenschaften. Ein Kompendium für den interdisziplinären Gebrauch. Spektrum Akademischer Verlag, 2010.

Research Articles

Preprints of most of my articles may also be obtained via arXiv.org or via the MPI preprint server, reviews via MathSciNet (provided you have access to it)

(with Johannes Brunnemann) On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity. Math. Phys. Anal. Geom. 15 (2012) 299–315.
On Ashtekar's Formulation of General Relativity. J. Phys. (Conf. Ser.) 360 (2012) 012022. (10 pp.)
(with Philipp Levermann) Ashtekar Variables: Structures in Bundles. 1112.1262 [math-ph] (11 pp.)
Loop Quantization and Symmetry: Configuration Spaces. 1010.0449 [math-ph] (33 pp.)
(with Shmuel Friedland) Asymptotic Positivity of Hurwitz Product Traces: Two Proofs. Lin. Alg. Appl. 432 (2010) 1363–1383.
Representations of the Weyl Algebra in Quantum Geometry. Commun. Math. Phys. 285 (2009) 67–140.
Kinematical Uniqueness of Loop Quantum Gravity.
In: Quantum Gravity: Mathematical Models and Experimental Bounds (Edited Volume, Birkhäuser, Basel, 2007), pp. 203–219.
Irreducibility of the Weyl Algebra in Loop Quantum Gravity. Phys. Rev. Lett. 97 (2006) 061302. (4 pp.)
Quantization Restrictions for Diffeomorphism Invariant Gauge Theories.
In: Quantization and Analysis on Symmetric Spaces (Proceedings, Wien, 2006), pp. 55–63.
Construction of Generalized Connections. math-ph/0601005 (12 pp.)
Proof of a Conjecture by Lewandowski and Thiemann. Commun. Math. Phys. 249 (2004) 331–352.
Parallel Transports in Webs. Math. Nachr. 263–264 (2004) 83–102.
Regular Connections among Generalized Connections. J. Geom. Phys. 47 (2003) 469–483.
On the Gribov Problem for Generalized Connections. Commun. Math. Phys. 234 (2003) 423–454.
Hyphs and the Ashtekar-Lewandowski Measure. J. Geom. Phys. 45 (2003) 231–251.
(with Jerzy Lewandowski) Breakdown of the Action Method in Gauge Theories. math-ph/0111001 (4 pp.) (extension of my paper math-ph/0107022 without co-author)
On the Support of Physical Measures in Gauge Theories. math-ph/0109030 (42 pp.)
Stratification of the Generalized Gauge Orbit Space. Commun. Math. Phys. 214 (2000) 607–649.
A new type of loop independence and SU(N) quantum Yang-Mills theory in two dimensions. J. Math. Phys. 41 (2000) 76–102.

Reports

(with Matilde Marcolli, Ryszard Nest) Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples. Introduction by the Organisers. Oberwolfach Rep. 7 (2010) 373--375.

General Articles

(with Eva-Maria Engelen, C. Giovanni Galizia, Katharina Landfester)
Heureka – Oder: Wann jubeln Wissenschaftler? Evidenzgewinnung und -erzeugung im Forschungsalltag.
In: Forschung und Lehre 17 (2010) 810–812. Nachdruck auf academics.de.
Mathematik ist eine Glaubensfrage.
In: Heureka – Evidenzkriterien in den Wissenschaften (Engelen et al. [Hrsg.], Spektrum, 2010), pp. 150–168.
Oberwolfach: Der Welt entrückt im Paradies der Mathematiker.
In: Mekkas der Moderne (Schmundt et al. [Hrsg.], Böhlau, 2010). Nachdruck in: sciencegarden – Magazin für junge Forschung, 2010.
Neue Bücher aus Oberwolfach.
In: Mitteilungen der DMV 18 (2010) 11.
Quantengravitation: Keine Experimente, aber Mathematik.
In: Jahrbuch der Max-Planck-Gesellschaft für 2006 (Max-Planck-Gesellschaft [Hrsg.], 2006).

Theses (in German)

Dissertation

Mathematische und physikalische Aspekte verallgemeinerter Eichfeldtheorien im Ashtekarprogramm. Leipzig, 2001.

Diploma Thesis (Mathematics)

Stratifizierung des verallgemeinerten Eichorbitraums im Ashtekarprogramm. Leipzig, 1999.

Diploma Thesis (Physics)

Funktionalintegralzugang zu Eichtheorien und Gravitation im Rahmen des Ashtekarprogramms. Leipzig, 1998.

Further Information

Alumnus of the Young Academy

August 2006 – September 2009
Head of an Emmy Noether Independent Junior Research Group at the Mathematics Department of Hamburg University

April 1998 – July 2006 (partly on leave)
PhD student / Researcher at the Max-Planck Institute for Mathematics in the Sciences in Leipzig

October – November 2001 and May 2002 – May 2003
Visiting Research Scholar at the Center for Gravitational Physics and Geometry at Penn State University

Please note: I am NOT a member of any social network service apart from Daidalosnet, the alumni network of the Studienstiftung. So if you find a person named Christian Fleischhack at platforms like facebook, stayfriends etc.: That's NOT me!

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