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Homepage of Christian Fleischhack

Please note that this homepage will no longer be maintained. Please follow the link to my new homepage at Paderborn university.

Contact Information

Institut für Mathematik
Universität Paderborn
Warburger Straße 100
33098 Paderborn
Germany

office no.:
 D1.201
phone:
 +49 5251 60-2628
fax:
 +49 5251 60-3836
e-mail:
 christian.fleischhack at-the-domain 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 Reelle Analysis (in German). Moreover, if there is enough interest there will be a Proseminar on Analysis and again an Oberseminar on Mathematical Physics.

There are no scheduled consultation hours during the break. Please send me an e-mail if you would like to contact me; or just check whether I am in my office.

For teaching at Leipzig and Hamburg University in previous terms, please click here.

Research Interests

Publications

Books

  1. 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).

  1. Loop Quantization and Symmetry: Configuration Spaces. (33 pp.)
    1010.0449 [math-ph]
  2. (with Shmuel Friedland) 
    Asymptotic Positivity of Hurwitz Product Traces: Two Proofs. Lin. Alg. Appl. 432 (2010) 1363–1383.
    0811.0030 [math-ph] (extension of my paper 0804.3665 [math-ph] without co-author)
  3. (with Johannes Brunnemann) 
    On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity. (11 pp.)
    0709.1621 [math-ph]
  4. Kinematical Uniqueness of Loop Quantum Gravity.
    In: Quantum Gravity: Mathematical Models and Experimental Bounds (Edited Volume, Birkhäuser, Basel, 2007), pp. 203–219.
  5. Irreducibility of the Weyl Algebra in Loop Quantum Gravity. Phys. Rev. Lett. 97 (2006) 061302. (4 pp.)
  6. Quantization Restrictions for Diffeomorphism Invariant Gauge Theories.
    In: Quantization and Analysis on Symmetric Spaces (Proceedings, Wien, 2006), pp. 55–63.
    ESI-Proceedings (Preprint No. 1793)
  7. Construction of Generalized Connections. (12 pp.)
    math-ph/0601005
  8. Representations of the Weyl Algebra in Quantum Geometry. Commun. Math. Phys. 285 (2009) 67–140.
    math-ph/0407006
  9. Proof of a Conjecture by Lewandowski and Thiemann, Commun. Math. Phys. 249 (2004) 331–352.
    math-ph/0304002
  10. Parallel Transports in Webs, Math. Nachr. 263–264 (2004) 83–102.
    math-ph/0304001
  11. Regular Connections among Generalized Connections, J. Geom. Phys. 47 (2003) 469–483.
    math-ph/0211060
  12. (with Jerzy Lewandowski)  Breakdown of the Action Method in Gauge Theories. (4 pp.)
    math-ph/0111001 (extension of my paper math-ph/0107022 without co-author)
  13. On the Support of Physical Measures in Gauge Theories. (42 pp.)
    math-ph/0109030
  14. On the Gribov Problem for Generalized Connections, Commun. Math. Phys. 234 (2003) 423–454.
    math-ph/0007001
  15. Hyphs and the Ashtekar-Lewandowski Measure, J. Geom. Phys. 45 (2003) 231–251.
    math-ph/0001007
  16. Stratification of the Generalized Gauge Orbit Space, Commun. Math. Phys. 214 (2000) 607–649.
    math-ph/0001006, math-ph/0001008
  17. A new type of loop independence and SU(N) quantum Yang-Mills theory in two dimensions, J. Math. Phys. 41 (2000) 76–102.

General Articles

  1. (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.
  2. Mathematik ist eine Glaubensfrage.
    In: Heureka – Evidenzkriterien in den Wissenschaften (Engelen et al. [Hrsg.], Spektrum, 2010), pp. 150–168.
  3. 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.
  4. Neue Bücher aus Oberwolfach.
    In: Mitteilungen der DMV 18 (2010) 11.
  5. 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.

Links

Institutions

Ressources

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
Last modified: Nov 5, 2010 by Christian Fleischhack