Waldmann Stefan, Prof. Dr.
Head of Chair
Prof. Dr. Stefan Waldmann
Holder of the Chair
Chair of Mathematics X (Mathematical Physics)
Campus Hubland Nord
Emil-Fischer-Straße 31
Emil-Fischer-Straße 31
97074
Würzburg
Building:
31
Room:
00.012
Phone:
+49 931 31-83389
![[Translate to Englisch:] Prof. Dr. Stefan Waldmann](/fileadmin/_processed_/2/0/csm_kh457-81_Waldmann_65beb2fdaa.jpg)
Research interests
- Mathematical physics: Interpretations and conceptual questions
- Differential geometry: symplectic geometry and Poisson geometry, generalized geometries
- Deformation quantization, star products, and other quantization theories, classical limit
- Classical phase space reduction and its quantization
- Representation theory of *-algebras and Morita theory
- Convergence of star products and locally convex *-algebras
Teaching
- Supervision in Würzburg: Bachelor theses, Master theses, PhD theses
- Teaching in Würzburg
- Previous theses
- Previous teaching
Summer schools, workshops, and conferences
- Poisson Geometry, Higher Structures, and Deformation Theory, Würzburg, 20 -- 22. September 2023.
- Math in the Mill 2022, Bahramühle, 12 -- 15. September 2022.
- Delft-Würzburg Workshop on Representation Theory and Differential Geometry, virtual in Delft and Würzburg, 21 January 2022.
- Barcelona-Würzburg Mathematical Physics Factory 2021, virtual in Würzburg and Barcelona, 23 -- 24 February 2021.
- Algebra, Deformation and Quantization Conference, Mulhouse, 2--4 May 2019.
- Autumnschool 2019: Deformations and Rigidity in Algebra, Geometry and Analysis, Würzburg, 7 --11 October 2019.
- Differential Geometry and Applications, Würzburg, October 1&2, 2018.
- Homotopy algebras, deformation theory and quantization, Bedlewo, September 16 -- 22, 2018.
- Bayrischzell Workshop 2018: On Noncommutativity and Physics: Hopf algebras in Noncommutative Geometry, Bayrischzell, April 20 -- 23, 2018.
- Joint Meeting on Noncommutative Geometry and Higher Structures, Würzburg, 11 -- 15 September, 2017.
- From Poisson Geometry to Quantum Fields on Noncommutative Spaces, Summer school in Würzburg, 5 -- 10 October 2015.
- Bayrischzell Workshop 2015: Quantization, geometry, and mathematical physics, Bayrischzell, May 29 -- June 1, 2015.
- Deformation Quantization: between formal to strict, Oberwolfach 15 -- 21 February 2015.
- Workshop on Quantization and Reduction 2013, Erlangen, 18 -- 21 March 2013.
- Nikolai Neumaier Gedenk-Kolloquium, Mulhouse, 16 -- 18 June, 2011.
- Klaus Pohlmeyer Memorial Workshop "Quantum Fields, Gravity and Strings", Freiburg, 13 February 2010.
- Römerfest, Freiburg, 8 November 2008.
Most of my publications can be found as preprints on the arXiv. Many are listed in MathSciNet and in Zentralblatt. Moreover, I also write Reviews for MathSciNet.
- Marvin DIppell, Chiara Esposito, Jonas Schnitzer, Stefan Waldmann: Global Homotopies for Differential Hochschild Cohomologies.
Preprint arXiv: 2410.15903, 65 pages.
[Abstract] [PDF] - Daniela Kraus, Oliver Roth, Sebastian Schleissinger,, Stefan Waldmann: Strict Wick-type deformation quantization on Riemann surfaces: Rigidity and Obstructions.
Preprint arXiv: 2308.01114, 24 pages.
[Abstract] [PDF] - Martin Bordemann, Gregory Ginot, Gilles Halbout, Hans-Christian Herbig, Stefan Waldmann: Formalite G_\infty adaptee et star-representations sur des sous-varietes coisotropes.
Preprint arXiv:math/0504276 (2005), 55 pages.
[Abstract] [PDF]
- Stefan Waldmann: Lineare Algebra 2. Anwendungen und Konzepte für Studierende der Mathematik und Physik
Springer-Verlag Heidelberg, New York, second edition 2022.
[Zbl06750713] [Errata] - Stefan Waldmann: Lineare Algebra 1. Die Grundlagen für Studierende der Mathematik und Physik.
Springer-Verlag Heidelberg, New York, second edition 2021.
[Zbl06654263] [Errata] - Stefan Waldmann: Topology. An Introduction.
Springer-Verlag Heidelberg, New York, 2014.
[MR3308923] [Zbl06339551] [Errata] - 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] - Stefan Waldmann: Poisson-Geometrie und Deformationsquantisierung. Eine Einführung.
Springer-Verlag Heidelberg, Berlin, New York, 2007.
[Zbl1139.53001] [Errata]
- Nicolò Drago, Stefan Waldmann: Classical KMS Functionals and Phase Transitions in Poisson Geometry.
J. Symplectic Geometry 21 (2023), 939-995.
[Abstract] [PDF] [MR4754913] [Zbl7871028] - Michael Heins, Oliver Roth, Stefan Waldmann: Convergent Star Products on Cotangent Bundles of Lie Groups.
Math. Ann. 386 (2023), 151-206.
[Abstract] [PDF] [MR4585147] [Zbl7686080] - Henrique Bursztyn, Inocencio Ortiz, Stefan Waldmann: Morita equivalence of formal Poisson structures.
Int. Math. Res. Not. 2022.18 (2022), 13703--13752.
[Abstract] [PDF] [MR4485942] [Zbl7594726] - Marvin Dippell, Chiara Esposito, Stefan Waldmann: Deformation and Hochschild Cohomology of Coisotropic Algebras .
Ann. Mat. Pura. Appl. 201 (2022), 1295-1323.
[Abstract] [PDF] [MR4426287] [Zbl7534198] - Marvin Dippell, Felix Menke, Stefan Waldmann: A Serre-Swan Theorem for Coisotropic Algebras .
Pacific J. Math. 316 (2022), 277-306
[Abstract] [PDF] [MR4404001] [Zbl1484.13024] - Michel Cahen, Simone Gutt, Stefan Waldmann: Nuclear Group Algebras for Finitely Generated Groups.
Bull. Belg. Math. Soc. Simon Stevin 27 (2020), 567-594.
[Abstract] [PDF] [MR4177395] [Zbl07324963] - Chiara Esposito, Andreas Kraft, Stefan Waldmann: BRST Reduction of Quantum Algebras with ∗-Involutions.
Commun. Math. Phys. 378 (2020), 1391-1416.
[Abstract] [PDF] [MR4134949] [Zbl07236121] - Stefan Waldmann: Convergence of Star Products: From Examples to a General Framework.
EMS Surv. Math. Sci. 6 (2019), 1-31.
[Abstract] [PDF] [MR4073884] [Zbl07207861] - Marvin Dippell, Chiara Esposito, Stefan Waldmann: Coisotropic Triples, Reduction and Classical Limit.
Doc. Math. 24 (2019), 1811-1853.
[Abstract] [PDF] [MR4033826] [Zbl07124240] - Chiara Esposito, Philipp Schmitt, Stefan Waldmann: Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits.
Forum Mathematicum 31 (2019), 1203–1223.
[Abstract] [PDF] [MR4000585] [Zbl07130673] - Daniela Kraus, Oliver Roth, Matthias Schötz, Stefan Waldmann: A Convergent Star Product on the Poincaré Disc.
J. Funct. Anal. 277 (2019), 2734-2771.
[Abstract] [PDF] [MR3990734] [Zbl07093508] - Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann, Thomas Weber: Obstructions for Twist Star Products.
Lett. Math. Phys. 108 (2018), 1341--1350.
[Abstract] [PDF] [MR3785733 ] [Zbl06879924] - Matthias Schötz, Stefan Waldmann: Convergent Star Products for Projective Limits of Hilbert Spaces.
J. Funct. Anal. 274 (2018), 1381-1423.
[Abstract] [PDF] [MR3778678] [Zbl06845280] - 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] - Chiara Esposito, Paul Stapor, Stefan Waldmann: Convergence of the Gutt Star Product.
J. Lie Theory 27 (2017), 579-622.
[Abstract] [PDF] [MR3589272] [Zbl06731683] - Thorsten Reichert, Stefan Waldmann: Classification of Equivariant Star Products on Symplectic Manifolds
Lett. Math. Phys. 106 (2016), 675-692.
[Abstract] [PDF] [MR3490952] [Zbl1341.53123] - 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] - 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] - Stefan Waldmann: A nuclear Weyl algebra.
J. Geom. Phys. 81 (2014), 10-46.
[Abstract] [PDF] [MR3194213] [Zbl1287.53073] - 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] - 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] - 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] - Simone Gutt, Stefan Waldmann: Involutions and Representations for Reduced Quantum Algebras.
Adv. Math. 224 (2010), 2584-2644.
[Abstract] [PDF] [MR2652217] [Zbl1236.53070] - 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] - 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] - Nikolai Neumaier, Stefan Waldmann: Deformation Quantization of Poisson Structures Associated to Lie Algebroids.
SIGMA 5 (2009), 074.
[Abstract] [PDF] [MR2529173] [Zbl05708863] - Daniel Kaschek, Nikolai Neumaier, Stefan Waldmann: Complete Positivity of Rieffel's Deformation Quantization.
J. Noncommut. Geom. 3 (2009), 361--375.
[Abstract] [PDF] [MR2511634] [Zbl05578950] - 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] - Svea Beiser, Hartmann Römer, Stefan Waldmann: Convergence of the Wick Star Product.
Commun. Math. Phys. 272 (2007), 25-52.
[Abstract] [PDF] [MR2291800] [Zbl05237981] - Dorothea Bahns, Stefan Waldmann: Locally Noncommutative Space-Times.
Rev. Math. Phys. 19 (2007), 273-305.
[Abstract] [PDF] [MR2316535] [Zbl1127.81027] - Frank Keller, Stefan Waldmann: Formal Deformations of Dirac Structures.
J. Geom. Phys. 57 (2007), 1015-1036.
[Abstract] [PDF] [MR2275207] [Zbl1112.58018] - Stefan Jansen, Stefan Waldmann: The H-Covariant Strong Picard Groupoid.
J. Pure Appl. Alg. 205 (2006), 542-598.
[Abstract] [PDF] [MR2210219] [Zbl1108.53056] - Henrique Bursztyn, Stefan Waldmann: Completely positive inner products and strong Morita equivalence.
Pacific J. Math. 222 (2005), 201-236.
[Abstract] [PDF] [MR2225070] [Zbl1111.53071] - Henrique Bursztyn, Stefan Waldmann: Hermitian star products are completely positive deformations.
Lett. Math. Phys. 72 (2005), 143-152.
[Abstract] [PDF] [MR2154860] [Zbl1081.53078] - Stefan Waldmann: States and representations in deformation quantization.
Rev. Math. Phys. 17 (2005), 15--75.
[Abstract] [PDF] [MR2130623] [Zbl1138.53316] - Stefan Waldmann: The Picard groupoid in deformation quantization.
Lett. Math. Phys. 69 (2004), 223-235.
[Abstract] [PDF] [MR2104445] [Zbl1065.53070] - Henrique Bursztyn, Stefan Waldmann: Bimodule deformations, Picard groups and contravariant connections.
K-Theory 31 (2004), 1-37.
[Abstract] [PDF] [MR2050877] [Zbl1054.53101] - 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] - Nikolai Neumaier, Stefan Waldmann: Morita equivalence bimodules for Wick type star products.
J. Geom. Phys. 47 (2003), 177-196.
[Abstract] [PDF] [MR1991472] [Zbl1091.53063] - 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] - 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] - 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] - Stefan Waldmann: A Remark on the Deformation of GNS Representations of *-Algebras.
Rep. Math. Phys. 48 (2001), 389-396.
[Abstract] [PDF] [MR1873976] [Zbl1016.46034] - 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] - Henrique Bursztyn, Stefan Waldmann: *-Ideals and Formal Morita Equivalence of *-Algebras.
Int. J. Math. 12 (2001), 555-577.
[Abstract] [PDF] [MR1843866] [Zbl1111.46303] - Henrique Bursztyn, Stefan Waldmann: Deformation Quantization of Hermitian Vector Bundles.
Lett. Math. Phys. 53 (2000), 349-365.
[Abstract] [PDF] [MR1818108] [Zbl0982.53073] - Stefan Waldmann: Locality in GNS Representations of Deformation Quantization.
Commun. Math. Phys. 210 (2000), 467-495.
[Abstract] [PDF] [MR1776841] [Zbl0976.81019] - 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] - 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] - 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] - 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] - Martin Bordemann, Stefan Waldmann: Formal GNS Construction and States in Deformation Quantization.
Commun. Math. Phys. 195 (1998), 549-583.
[Abstract] [PDF] [MR1641003] [Zbl0989.53057] - 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] - 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] - 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] - 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]
- 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] - 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). - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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.
[MR2380047] [Zbl1137.53350] - 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] - 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] - 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] - 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] - 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] - 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.
[MR2023855] [Zbl1012.81029 ] - 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] - Martin Bordemann, Hartmann Römer, Stefan Waldmann: KMS States and Star Product Quantization.
Rep. Math. Phys. 44 (1999), 45-52.
[MR1726119] [Zbl0964.81045] - 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]
- Stefan Waldmann: Geometric Wave Equations.
Lecture notes (2013), 273 + vi pages.
[Abstract] [PDF] - Stefan Waldmann: Representation Theory of *-Algebras.
Lecture notes. Preliminary and uncomplete version (2019), 230 + viii pages.
[PDF] - Stefan Waldmann: An Introduction to Deformation Quantization.
Lecture notes for the Second Freiburg Summer School on Theoretical Physics (2002), 31 pages.
[PDF] - 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]
- 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). - 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. - 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.
