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English Intern
  • Mathematische Physik 2019
  • Mathematische Physik 2019
Mathematische Physik

Waldmann Stefan, Prof. Dr.

Lehrstuhlinhaber

Prof. Dr. Stefan Waldmann

Lehrstuhlinhaber
Lehrstuhl für Mathematik X (Mathematische Physik)
Campus Hubland Nord
Emil-Fischer-Straße 31
97074 Würzburg
Gebäude: 31
Raum: 00.012
Telefon: +49 931 31-83389
Prof. Dr. Stefan Waldmann

Forschungsinteressen

Lehrtätigkeit

Sommerschulen, Workshops und Kolloquien

Publikationen

Die meisten meiner Publikationen finden sich als Preprint auf dem arXiv. Viele sind in MathSciNet und im Zentralblatt aufgeführt. Weiter schreibe ich selbst auch gelegentlich Reviews für MathSciNet.

  1. Chiara Esposito, Andreas Kraft, Stefan Waldmann: BRST Reduction of Quantum Algebras with ∗-Involutions. Preprint arXiv: 1910.06651, 24 pages.
    [Abstract] [PDF]
  2. Stefan Waldmann: Convergence of Star Products: From Examples to a General Framework. Preprint arXiv:1901.11327 (2019), 25 pages. To appear in EMS Surveys in Mathematical Sciences.
    [Abstract] [PDF]
  3. Michel Cahen, Simone Gutt, Stefan WaldmannNuclear Group Algebras for Finitely Generated Groups
    Preprint arXiv:1610.07746 (2016), 24 pages. 
    [Abstract] [PDF]
  4. Martin Bordemann, Gregory Ginot, Gilles Halbout, Hans-Christian Herbig, Stefan WaldmannFormalite G_\infty adaptee et star-representations sur des sous-varietes coisotropes
    Preprint arXiv:math/0504276 (2005), 55 pages. 
    [Abstract] [PDF]

  1. Stefan Waldmann: Lineare Algebra 2. Anwendungen und Konzepte für Studierende der Mathematik und Physik
    Springer-Verlag Heidelberg, New York, 2017.
    [Zbl06750713] [Errata]
  2. Stefan Waldmann: Lineare Algebra 1. Die Grundlagen für Studierende der Mathematik und Physik.
    Springer-Verlag Heidelberg, New York, 2017.
    [Zbl06654263] [Errata]
  3. Stefan Waldmann: Topology. An Introduction.
    Springer-Verlag Heidelberg, New York, 2014.
    [MR3308923] [Zbl06339551] [Errata]
  4. Martin Bordemann, Kurusch Ebrahimi-Fard, Abdenacer Makhlouf, Martin Schlichenmaier, Stefan Waldmann, (eds.): Special issue: Selected papers based on the presentations at the commemorative colloquium dedicated to Nikolai Neumaier, LMIA, Université de Haute-Alsace, Mulhouse, France, June 16-18, 2011.
    Travaux Mathématiques 20. University of Luxembourg, Faculty of Science, Technology and Communication. 2012, 231 pages.
    [MR3059581] [Zbl1253.00017]
  5. Stefan Waldmann: Poisson-Geometrie und Deformationsquantisierung. Eine Einführung.
    Springer-Verlag Heidelberg, Berlin, New York, 2007.
    [Zbl1139.53001] [Errata]

  1. Marvin Dippell, Chiara Esposito, Stefan Waldmann: Coisotropic Triples, Reduction and Classical Limit.
    Doc. Math. 24 (2019), 1811-1853.
    [Abstract] [PDF] [MR] [Zbl07124240]
  2. Chiara Esposito, Philipp Schmitt, Stefan WaldmannComparison and Continuity of Wick-type Star Products on certain coadjoint orbits
    Forum Mathematicum 31 (2019), 1203–1223.
    [Abstract] [PDF] [MR4000585]  [Zbl07130673]
  3. Daniela Kraus, Oliver Roth, Matthias Schötz, Stefan WaldmannA Convergent Star Product on the Poincaré Disc
    J. Funct. Anal. 277 (2019), 2734-2771.
    [Abstract] [PDF] [MR3990734] [Zbl07093508]
  4. Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann, Thomas Weber: Obstructions for Twist Star Products.
    Lett. Math. Phys. 108 (2018), 1341--1350.
    [Abstract] [PDF] [MR3785733 ] [Zbl06879924]
  5. Matthias Schötz, Stefan Waldmann: Convergent Star Products for Projective Limits of Hilbert Spaces.
    J. Funct. Anal. 274 (2018), 1381-1423.
    [Abstract] [PDF] [MR3778678] [Zbl06845280]
  6. Chiara Esposito, Jonas Schnitzer, Stefan Waldmann: An Universal Construction of Universal Deformation Formulas, Drinfel'd Twists and their Positivity.
    Pacific J. Math. 291 (2017), 319-358.
    [Abstract] [PDF] [MR3703446] [Zbl06781314]
  7. Chiara Esposito, Paul Stapor, Stefan Waldmann: Convergence of the Gutt Star Product.
    J. Lie Theory 27 (2017), 579-622.
    [Abstract] [PDF] [MR3589272] [Zbl06731683]
  8. Thorsten Reichert, Stefan Waldmann: Classification of Equivariant Star Products on Symplectic Manifolds
    Lett. Math. Phys. 106 (2016), 675-692.
    [Abstract] [PDF] [MR3490952] [Zbl1341.53123]
  9. Gandalf Lechner, Stefan Waldmann: Strict deformation quantization of locally convex algebras and modules.
    J. Geom. Phys. 99 (2016), 111-144.
    [Abstract] [PDF] [MR3428360] [Zbl1330.53117]
  10. Frank Keller, Stefan Waldmann: Deformation Theory of Courant Algebroids via the Rothstein Algebra.
    J. Pure and Appl. Alg. 219 (2015), 3391-3426.
    [Abstract] [PDF] [MR3320226] [Zbl1315.53103]
  11. Stefan Waldmann: A nuclear Weyl algebra.
    J. Geom. Phys. 81 (2014), 10-46.
    [Abstract] [PDF] [MR3194213] [Zbl1287.53073]
  12. Svea Beiser, Stefan Waldmann: Fréchet algebraic deformation quantization of the Poincaré disk.
    Crelle's J. reine angew. Math. 688 (2014), 147-207.
    [Abstract] [PDF] [MR3176618] [Zbl1290.53079]
  13. Stefan Jansen, Nikolai Neumaier, Gregor Schaumann, Stefan Waldmann: Classification of Invariant Star Products up to Equivariant Morita Equivalence on Symplectic Manifolds.
    Lett. Math. Phys. 100 (2012), 203-236.
    [Abstract] [PDF] [MR2912481] [Zbl1251.53057]
  14. Henrique Burzstyn, Vasiliy Dolgushev, Stefan Waldmann: Morita equivalence and characteristic classes of star products.
    Crelle's J. reine angew. Math. 662 (2012), 95-163.
    [Abstract] [PDF] [MR2876262] [Zbl1237.53080]
  15. Simone Gutt, Stefan Waldmann: Involutions and Representations for Reduced Quantum Algebras.
    Adv. Math. 224 (2010), 2584-2644.
    [Abstract] [PDF] [MR2652217] [Zbl1236.53070]
  16. Florian Becher, Nikolai Neumaier, Stefan Waldmann: Deformation Quantization of a Class of Open Systems.
    Lett. Math. Phys. 92 (2010), 155-180.
    [Abstract] [PDF] [MR2645824] [Zbl1193.53181]
  17. Martin Bordemann, Nikolai Neumaier, Stefan Waldmann, Stefan Weiß: Deformation quantization of surjective submersions and principal fibre bundles.
    Crelle's J. reine angew. Math. 639 (2010), 1--38
    [Abstract] [PDF] [MR2608189] [Zbl05687061]
  18. Nikolai Neumaier, Stefan Waldmann: Deformation Quantization of Poisson Structures Associated to Lie Algebroids.
    SIGMA 5 (2009), 074.
    [Abstract] [PDF] [MR2529173] [Zbl05708863]
  19. Daniel Kaschek, Nikolai Neumaier, Stefan Waldmann: Complete Positivity of Rieffel's Deformation Quantization.
    J. Noncommut. Geom. 3 (2009), 361--375.
    [Abstract] [PDF] [MR2511634] [Zbl05578950]
  20. Jakob G. Heller, Nikolai Neumaier, Stefan Waldmann: A C*-Algebraic Model for Locally Noncommutative Spacetimes.
    Lett. Math. Phys. 80 (2007), 257-272.
    [Abstract] [PDF] [MR2333512] [Zbl1127.53075]
  21. Svea Beiser, Hartmann Römer, Stefan Waldmann: Convergence of the Wick Star Product.
    Commun. Math. Phys. 272 (2007), 25-52.
    [Abstract] [PDF] [MR2291800] [Zbl05237981]
  22. Dorothea Bahns, Stefan Waldmann: Locally Noncommutative Space-Times.
    Rev. Math. Phys. 19 (2007), 273-305.
    [Abstract] [PDF] [MR2316535] [Zbl1127.81027]
  23. Frank Keller, Stefan Waldmann: Formal Deformations of Dirac Structures.
    J. Geom. Phys. 57 (2007), 1015-1036.
    [Abstract] [PDF] [MR2275207] [Zbl1112.58018]
  24. Stefan Jansen, Stefan Waldmann: The H-Covariant Strong Picard Groupoid.
    J. Pure Appl. Alg. 205 (2006), 542-598.
    [Abstract] [PDF] [MR2210219] [Zbl1108.53056]
  25. Henrique Bursztyn, Stefan Waldmann: Completely positive inner products and strong Morita equivalence.
    Pacific J. Math. 222 (2005), 201-236.
    [Abstract] [PDF] [MR2225070] [Zbl1111.53071]
  26. Henrique Bursztyn, Stefan Waldmann: Hermitian star products are completely positive deformations.
    Lett. Math. Phys. 72 (2005), 143-152.
    [Abstract] [PDF] [MR2154860] [Zbl1081.53078]
  27. Stefan Waldmann: States and representations in deformation quantization.
    Rev. Math. Phys. 17 (2005), 15--75.
    [Abstract] [PDF] [MR2130623] [Zbl1138.53316]
  28. Stefan Waldmann: The Picard groupoid in deformation quantization.
    Lett. Math. Phys. 69 (2004), 223-235.
    [Abstract] [PDF] [MR2104445] [Zbl1065.53070]
  29. Henrique Bursztyn, Stefan Waldmann: Bimodule deformations, Picard groups and contravariant connections.
    K-Theory 31 (2004), 1-37.
    [Abstract] [PDF] [MR2050877] [Zbl1054.53101]
  30. Pierre Bieliavsky, Martin Bordemann, Simone Gutt, Stefan Waldmann: Traces for star products on the dual of a Lie algebra.
    Rev. Math. Phys. 15 (2003), 425-445.
    [Abstract] [PDF] [MR1993787] [Zbl1129.53305]
  31. Nikolai Neumaier, Stefan Waldmann: Morita equivalence bimodules for Wick type star products.
    J. Geom. Phys. 47 (2003), 177-196.
    [Abstract] [PDF] [MR1991472] [Zbl1091.53063]
  32. Martin Bordemann, Nikolai Neumaier, Markus J. Pflaum, Stefan Waldmann: On representations of star product algebras over cotangent spaces on Hermitian line bundles.
    J. Funct. Anal. 199 (2003), 1--47.
    [Abstract] [PDF] [MR1966822] [Zbl1038.53087]
  33. Stefan Waldmann: Morita equivalence of Fedosov star products and deformed Hermitian vector bundles.
    Lett. Math. Phys. 60 (2002), 157-170.
    [Abstract] [PDF] [MR1916663] [Zbl1009.53063]
  34. Henrique Bursztyn, Stefan Waldmann: The Characteristic Classes of Morita Equivalent Star Products on Symplectic Manifolds.
    Commun. Math. Phys. 228 (2002), 103-121.
    [Abstract] [PDF] [MR1911250] [Zbl1036.53068]
  35. Stefan Waldmann: A Remark on the Deformation of GNS Representations of *-Algebras.
    Rep. Math. Phys. 48 (2001), 389-396.
    [Abstract] [PDF] [MR1873976] [Zbl1016.46034]
  36. Henrique Bursztyn, Stefan Waldmann: Algebraic Rieffel Induction, Formal Morita Equivalence and Applications to Deformation Quantization.
    J. Geom. Phys. 37 (2001), 307-364.
    [Abstract] [PDF] [MR1811148] [Zbl1039.46052]
  37. Henrique Bursztyn, Stefan Waldmann: *-Ideals and Formal Morita Equivalence of *-Algebras.
    Int. J. Math. 12 (2001), 555-577.
    [Abstract] [PDF] [MR1843866] [Zbl1111.46303]
  38. Henrique Bursztyn, Stefan Waldmann: Deformation Quantization of Hermitian Vector Bundles.
    Lett. Math. Phys. 53 (2000), 349-365.
    [Abstract] [PDF] [MR1818108] [Zbl0982.53073]
  39. Stefan Waldmann: Locality in GNS Representations of Deformation Quantization.
    Commun. Math. Phys. 210 (2000), 467-495.
    [Abstract] [PDF] [MR1776841] [Zbl0976.81019]
  40. Martin Bordemann, Hans-Christian Herbig, Stefan Waldmann: BRST Cohomology and Phase Space Reduction in Deformation Quantization.
    Commun. Math. Phys. 210 (2000), 107-144.
    [Abstract] [PDF] [MR1748172] [Zbl0961.53046]
  41. Martin Bordemann, Nikolai Neumaier, Stefan Waldmann: Homogeneous Fedosov star products on cotangent bundles II: GNS representations, the WKB expansion, traces, and applications.
    J. Geom. Phys. 29 (1999), 199-234.
    [Abstract] [PDF] [MR1670009] [Zbl0989.53060]
  42. Martin Bordemann, Hartmann Römer, Stefan Waldmann: A Remark on Formal KMS States in Deformation Quantization.
    Lett. Math. Phys. 45 (1998), 49--61.
    [Abstract] [PDF] [MR1631664] [Zbl0951.53057]
  43. Martin Bordemann, Nikolai Neumaier, Stefan Waldmann: Homogeneous Fedosov Star Products on Cotangent Bundles I: Weyl and Standard Ordering with Differential Operator Representation.
    Commun. Math. Phys. 198 (1998), 363-396.
    [Abstract] [PDF] [MR1668901] [Zbl0968.53056]
  44. Martin Bordemann, Stefan Waldmann: Formal GNS Construction and States in Deformation Quantization.
    Commun. Math. Phys. 195 (1998), 549-583.
    [Abstract] [Postscript] [PDF] [MR1641003] [Zbl0989.53057]
  45. Stefan Waldmann: A Remark on Non-equivalent Star Products via Reduction for CPn.
    Lett. Math. Phys. 44 (1998), 331-338.
    [Abstract] [PDF] [MR1627891] [Zbl0924.58119]
  46. Martin Bordemann, Stefan Waldmann: A Fedosov Star Product of Wick Type for Kähler Manifolds.
    Lett. Math. Phys. 41 (1997), 243-253.
    [Abstract] [PDF] [MR1463874] [Zbl0892.53028]
  47. Martin Bordemann, Michael Brischle, Claudio Emmrich, Stefan Waldmann: Subalgebras with converging star products in deformation quantization: An algebraic construction for CPn.
    J. Math. Phys. 37 (1996), 6311-6323.
    [Abstract] [PDF] [MR1419171] [Zbl0923.58024]
  48. Martin Bordemann, Michael Brischle, Claudio Emmrich, Stefan Waldmann: Phase Space Reduction for Star Products: An Explicit Construction for CPn.
    Lett. Math. Phys. 36 (1996), 357-371.
    [Abstract] [PDF] [MR1384642] [Zbl0849.58035]

  1. Stefan Waldmann: Recent developments in deformation quantization.
    In: Finster, F., Kleiner, J., Röken, C., Tolksdorf, J. (Eds.): Quantum mathematical physics. 421-439. Birkhäuser, Cham, Heidelberg, New York, 2016. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 - October 2, 2014.
    [Abstract] [PDF] [MR3496889] [Zbl1338.81253]
  2. Stefan Waldmann: Fréchet-algebraic deformation quantizations.
    J. Phys. Conf Ser. 532 (2014), 012027. Contributions to the Proceedings of the conference 3Quantum: Algebra Geometry Information (QQQ Conference 2012).
  3. Henrique Bursztyn, Stefan Waldmann: Strong and Covariant Morita equivalences in Deformation Quantization.
    Travaux mathématiques 20 (2012), 121-143. Contributions to the Proceedings of the Commemorative Colloquium dedicated to Nikolai Neumaier. Mulhouse, June 2011.
    [MR3014186]
  4. Henrique Bursztyn, Stefan Waldmann: Classifying Morita Equivalent Star Products.
    Clay Mathematics Proceedings 16 (2012), 1-17. Contribution to the Proceedings of the 3rd Annual Luis Santaló Winter School–CIMPA Research School held at the Universidad de Buenos Aires, Buenos Aires, July 26–August 6, 2010.
    [MR2986859] [Zbl1323.53088]
  5. Stefan Waldmann: Morita Theory in Deformation Quantization.
    Bull. Braz. Math. Soc. New Series 42 (2012), 831-852. Contribution to the Proceedings of the Poisson 2010 conference held in Rio de Janeiro, July 2010.
    [Abstract] [PDF] [MR2861787] [Zbl1256.53057]
  6. Michel Cahen, Simone Gutt, Stefan Waldmann: Symplectic Connections of Ricci Type and Star Products.
    In: Cattaneo, A. S., Giaquinto, A., Xu, P. (Eds.): Higher Structures in Geometry and Physics. 93--110. Birkhäuser, Basel, Boston, Berlin, 2010. Contribution to the Proceedings of the conference "Higher Structures in Geometry and Physics: Conference in honor of Murray Gerstenhaber's 80th and Jim Stasheff's 70th birthdays", 2007.
    [Abstract] [PDF] [MR2762541] [Zbl1220.53102]
  7. Stefan Waldmann: Covariant Strong Morita Theory of Star Product Algebras.
    In: Caenepeel, S., Fuchs, J., Gutt, S., Schweigert, C., Stolin, A., and Van Oystaeyen, F. (Eds.): Noncommutative Structures in Mathematics and Physics. 245--258. Universa Press, Wetteren, Belgium, 2010. Contributions to the Proceedings of the NoMap conference, 2008.
    [Abstract] [PDF] [MR2742744] [Zbl1195.81083]
  8. Stefan Waldmann: Positivity in Rieffel's strict deformation quantization.
    In: Pavel Exner (Ed.): XVIth International Congress on Mathematical Physics. 509--513. World Scientific, New Jersey, London, Singapore, 2010. Contribution to the Proceedings of the XVIth International Congress on Mathematical Physics, Prague, 3--8 August 2009.
    [Abstract] [PDF] [MR2730817] [Zbl1203.81086]
  9. Stefan Waldmann: Noncommutative field theories from a deformation point of view.
    In: Bertfried Fauser, Jürgen Tolksdorf, Eberhard Zeidler (Eds.): Quantum Field Theory. Competitive Models. 117--135. Birkhäuser Verlag, Basel, Boston, 2009. Contribution to the Proceedings of the Leipzig Conference "Recent Developments in Quantum Field Theory".
    [Abstract] [PDF] [MR2742752] [Zbl1163.53060]
  10. Stefan Waldmann: Locally noncommutative space-times.
    In: Guiseppe Dito, Jiang-Hua Lu, Yoshiaki Maeda, and Alan Weinstein (Eds.): Poisson Geometry in Mathematics and Physics. Contemporary Mathematics 450, 301-311. American Mathematical Society, Providence, Rhode Island (2008). Contribution to the Proceedings of the conference Poisson 2006.
    [PDF] [MR2397631] [Zbl05310320]
  11. Jakob G. Heller, Nikolai Neumaier, Stefan Waldmann: Locally Noncommutative Spacetimes.
    J. Geom. Symmetry Phys. 10 (2007), 9-27. Contribution to the Proceedings for the XXV Workshop on Geometric Methods in Physics, Bialowieza 2006.
    [PDF] [MR2380047] [Zbl1137.53350]
  12. Stefan Waldmann: The Covariant Picard Groupoid in Differential Geometry.
    Int. J. Geom. Methods Mod. Phys. 3 (2006), 641-654.
    Proceedings of the 20th International Workshop on Differential Geometric Methods in Theoretical Mechanics in Ghent, August 2005.
    [Abstract] [PDF] [MR2232877] [Zbl1135.53061]
  13. Henrique Bursztyn, Stefan Waldmann: Induction of Representations in Deformation Quantization.
    In: Yoshiaki Maeda, Nobuyuki Tose, Naoya Miyazaki, Satoshi Watamura, Daniel Sternheimer (Eds.): Noncommutative geometry and physics. World Scientific, Singapore, 65-76 (2005).
    [Abstract] [PDF] [MR2186381]
  14. Stefan Waldmann: Morita Equivalence, Picard Groupoids and Noncommutative Field Theories.
    In: Ursula Carow-Watamura, Yoshiaki Maeda, Satoshi Watamura (Eds.): Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Physics 662, 143-155. Springer-Verlag, Heidelberg, Berlin, New York (2005).
    [Abstract] [PDF] [MR2179181] [Zbl1078.53083]
  15. Stefan Waldmann: Deformation Quantization: Observable Algebras, States and Representation Theory.
    In: Branko Dragovich et al. (Eds.): Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1-12, 2002. Sveske Fizickikh Nauka. Series A: Conferences 16, 83-107. Institute of Physics, Belgrade (2003).
    [Abstract] [PDF] [Zbl1083.53087]
  16. Stefan Waldmann: On the Representation Theory of Deformation Quantization.
    In: Gilles Halbout (Ed.): Deformation Quantization. IRMA Lectures on Mathematics and Theoretical Physics 1, 107-133. Walter de Gruyter, Berlin, New York (2002).
    [Abstract] [PDF] [MR1914784] [Zbl1014.53055]
  17. Stefan Waldmann: Deformation of Hermitian Vector Bundles and Non-Commutative Field Theory.
    In: Yoshiaki Maeda, Satoshi Watamura (Eds.): Noncommutative Geometry and String Theory. Prog. Theo. Phys. Suppl. 144 (2001), 167--175.
    [PDF] [MR2023855] [Zbl1012.81029 ]
  18. Henrique Bursztyn, Stefan Waldmann: On Positive Deformations of *-Algebras.
    In: Giuseppe Dito, Daniel Sternheimer (Eds.): Conference Moshe Flato 1999. Quantization, Deformations, and Symmetries. Mathematical Physics Studies 22, 69-80. Kluwer Academic Publishers, Dordrecht, Boston, London (2000).
    [Abstract] [PDF] [MR1805905] [Zbl0979.53098]
  19. Martin Bordemann, Hartmann Römer, Stefan Waldmann: KMS States and Star Product Quantization.
    Rep. Math. Phys. 44 (1999), 45-52.
    [PDF] [MR1726119] [Zbl0964.81045]
  20. Martin Bordemann, Stefan Waldmann: Formal GNS Construction and WKB Expansion in Deformation Quantization.
    In: Daniel Sternheimer, John Rawnsley, Simone Gutt (Eds.): Deformation Theory and Symplectic Geometry. Mathematical Physics Studies 20, 315--319. Kluwer Academic Publishers, Dordrecht, Boston, London (1997).
    [Abstract] [PDF] [MR1480731] [Zbl05353715]

  1. Stefan Waldmann: Geometric Wave Equations.
    Lecture notes (2013), 273 + vi pages.
    [Abstract] [PDF]
  2. Stefan Waldmann: Representation Theory of *-Algebras.
    Lecture notes. Preliminary and uncomplete version (2019),  230 + viii pages.
    [PDF]
  3. Stefan Waldmann: An Introduction to Deformation Quantization.
    Lecture notes for the Second Freiburg Summer School on Theoretical Physics (2002), 31 pages.
    [PDF]
  4. Stefan Waldmann: Eine moderne Methode der Quantisierung: Die Deformationsquantisierung.
    Lecture notes for the First Freiburg Summer School on Theoretical Physics, in German (2001), 32 pages.
    [PDF]

  1. Stefan Waldmann: Zur Darstellungstheorie in der Deformationsquantisierung.
    Habilitation thesis in physics, Fakultät für Mathematik und Physik, Physikalisches Institut, Albert-Ludwigs-Universität, Freiburg im Breisgau (2003).
  2. Stefan Waldmann: Zur Deformationsquantisierung in der klassischen Mechanik: Observablen, Zustände und Darstellungen.
    Ph. D. thesis in physics, Fakultät für Physik, Albert-Ludwigs-Universität, Freiburg im Breisgau (1999), 190 pages in German.
  3. Stefan Waldmann: Ein Sternprodukt für den komplex projektiven Raum und die Fedosov-Konstruktion für Kähler-Mannigfaltigkeiten.
    Diplomarbeit (master thesis) in physics, Fakultät für Physik, Albert-Ludwigs-Universität, Freiburg im Breisgau (1995), 97 pages in German.