Remarks
The following data are generated from CRIS. They have shortcomings.
- Research topics are better described here (currently only in German).
- In publications, CRIS does not support arXiv numbers. These can be found in the traditional list of publications. Further informationen can be obtained from INSPIRE and arXiv.
- The list of teaching activities is complete, but useless. Better informationen is given here (in German).
Research Foci
- Mathematical Physics
- Topological recursion
- Quantum field theory
- Noncommutative geometry
CV
Academic Education
- Habilitation in Physics, Technical University Vienna
- Dissertation in Physics, University of Leipzig (Prof. G. Rudolph)
- Study of Physics, University of Leipzig, Diploma Physics (Prof. G. Rudolph)
- Study of Physics, Otto-von-Guericke-University Magdeburg, Pre-diploma
Positions
- Professor (W2) for Pure Mathematics, WWU Münster
- Scientific Assistant, Max-Planck-Institute for Mathematics in the Sciences, Leipzig
- Maître de Conférence invité, Université de Provence, Marseille
- Marie-Curie Fellow, Faculty of Physics, University of Vienna
- DAAD Postdoc Fellow, Centre de Physique Théorique, Marseille
Teaching
- Vorlesung: Elements of Euklid [100258]
[ - | | wöchentlich | Di | M B 3 (M 3) | Prof. Dr. Raimar Wulkenhaar]
[ - | | wöchentlich | Fr. | M B 3 (M 3) | Prof. Dr. Raimar Wulkenhaar] - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110634]
(in cooperation with Prof. Dr. Christian Weinheimer, Jun.-Prof. Kai Schmitz, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Alexander Kappes)
[ - | | wöchentlich | Fr. | KP 404 | Prof. Dr. Raimar Wulkenhaar] - Seminar: Research Seminar: Quantum field theory [110612]
(in cooperation with apl. Prof. Jochen Heitger, Jun.-Prof. Kai Schmitz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza)
[ - | | wöchentlich | Mo | KP 304 | Prof. Dr. Raimar Wulkenhaar] - Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [100230]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann)
[ | wöchentlich | Mi | Prof. Dr. Raimar Wulkenhaar] - Oberseminar: Research Seminar: C*-Algebras [100253]
(in cooperation with Prof. Dr. Wilhelm Winter, Prof. Dr. Shirly Geffen, Prof. David Kerr)Details - Tutorial "Elemente des Euklid" [100259]
[ | wöchentlich | Mi | SRZ 205 | Prof. Dr. Raimar Wulkenhaar]
- Vorlesung: Mathematics III for Physicists [108238]
- Seminar: Research Seminar: Quantum field theory [118675]
(in cooperation with apl. Prof. Jochen Heitger, Jun.-Prof. Kai Schmitz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118682]
(in cooperation with Prof. Dr. Christian Weinheimer, Jun.-Prof. Kai Schmitz, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Alexander Kappes) - Oberseminar: Research Seminar: C*-Algebras [108253]
(in cooperation with Prof. Dr. Wilhelm Winter, Prof. David Kerr, Prof. Dr. Shirly Geffen) - Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [108230]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Exercises to Mathematics III for Physicists [108239]
- Vorlesung: Mathematics for Physicists II [106235]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116546]
(in cooperation with Prof. Dr. Christian Weinheimer, Jun.-Prof. Kai Schmitz, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Alexander Kappes) - Seminar: Seminar on Free Probability [106406]
(in cooperation with Prof. Dr. Hendrik Weber) - Seminar: Research Seminar: Quantum field theory [116536]
(in cooperation with apl. Prof. Jochen Heitger, Jun.-Prof. Kai Schmitz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar: C*-Algebras [106252]
(in cooperation with Dr. Samuel Evington, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Shirly Geffen, Prof. David Kerr) - Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [106232]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Tutorial Mathematics for Physicists II [106236]
(in cooperation with Katharina Harengel)
- Vorlesung: Mathematics for Physicists I [104688]
- Seminar: Research Seminar: Quantum field theory [114669]
(in cooperation with apl. Prof. Jochen Heitger, Jun.-Prof. Kai Schmitz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114670]
(in cooperation with Prof. Dr. Christian Weinheimer, Jun.-Prof. Kai Schmitz, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Alexander Kappes) - Oberseminar: Research Seminar: C*-Algebras [104506]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. David Kerr, Prof. Dr. Shirly Geffen, apl. Prof. Wend Werner) - Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [104676]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Tutorial Mathematics for Physicists I [104689]
(in cooperation with Finn Jost)
- Seminar: Research Seminar: Quantum field theory [112532]
(in cooperation with apl. Prof. Jochen Heitger, Jun.-Prof. Kai Schmitz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112531]
(in cooperation with Prof. Dr. Christian Weinheimer, Jun.-Prof. Kai Schmitz, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Alexander Kappes) - Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [102201]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Oberseminar: Research Seminar: C*-Algebras [102257]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Shirly Geffen, Prof. David Kerr, apl. Prof. Wend Werner, Jun.-Prof. Kristin Courtney)
- Vorlesung: Mathematics III for Physicists [100238]
- Seminar: Master Seminar: Partial Differential Equations: Theory and Mathematical Modelling [100246]
(in cooperation with Prof. Dr. Hendrik Weber) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110643]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Seminar: Research Seminar: Quantum field theory [110642]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Bachelorseminar: Bachelorseminar "Analysis" [100247]
- Oberseminar: Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [100235]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Exercises to Mathematics III for Physicists [100239]
(in cooperation with Finn Jost)
- Vorlesung: Introduction to General Relativity and Cosmology (Lecture) [118665]
(in cooperation with apl. Prof. Jochen Heitger) - Vorlesung: Mathematics for Physicists II [108229]
- Seminar: Research Seminar: Quantum field theory [118652]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118668]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Oberseminar: Research Seminar Algebra and Geometry [108243]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Research Seminar: C*-Algebras [108253]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, Prof. David Kerr, apl. Prof. Wend Werner) - Research Seminar: C*-Algebras [109998]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. David Kerr, apl. Prof. Wend Werner, Jun.-Prof. Kristin Courtney) - Tutorial Mathematics for Physicists II [108230]
(in cooperation with Finn Jost)
- Vorlesung: Mathematics for Physicists I [106204]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116455]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Seminar: Research Seminar: Quantum field theory [116428]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Oberseminar: Research Seminar Algebra and Geometry [106260]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann, Prof. Dr. Michael Weiss) - Research Seminar: C*-Algebras [106251]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. David Kerr, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists I [106205]
(in cooperation with Dr. Johannes Branahl)
- Vorlesung: Introduction to General Relativity and Cosmology [114294]
(in cooperation with apl. Prof. Jochen Heitger) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114303]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Seminar: Research Seminar: Quantum field theory [114302]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Oberseminar: Research Seminar Algebra and Geometry [104177]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann, Prof. Dr. Michael Weiss) - Module Fundamental Mathematics [104252]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, Prof. David Kerr, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists II [104257]
(in cooperation with apl. Prof. Wend Werner)
- Vorlesung: Mathematics for Physicists III [102268]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112303]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Seminar: Research Seminar: Quantum field theory [112302]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Oberseminar: Biochemistry and Biophysical Chemistry [102294]
(in cooperation with Helmut Hamm, Prof. Dr. Johannes Ebert, apl. Prof. Lutz Hille, Dr. Jörg Schürmann, Prof. Dr. Michael Weiss) - Research Seminar: C*-Algebras [102263]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists III [102269]
(in cooperation with Dr. Johannes Branahl)
- Vorlesung: Mathematics for Physicists II [100236]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110293]
(in cooperation with Prof. Dr. Christian Weinheimer, Prof. Dr. Alexander Kappes, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anton Andronic, apl. Prof. Christian Klein-Bösing, apl. Prof. Jochen Heitger) - Seminar: Research Seminar: Quantum field theory [110295]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen) - Research Seminar: C*-Algebras [100262]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists II [100237]
(in cooperation with Dr. Johannes Branahl)
- Vorlesung: Mathematics for Physicists I [108244]
- Seminar: 1.1 Business Administration [118284]
(in cooperation with apl. Prof. Jochen Heitger, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118283]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Priv.-Doz. Karol Kovarik, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Raimund Vogl) - Oberseminar: Research Seminar Algebra and Geometry [108270]
(in cooperation with Helmut Hamm, apl. Prof. Lutz Hille, Dr. Jörg Schürmann) - Research Seminar: C*-Algebras [108726]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists I [108245]
(in cooperation with Alexander Hock)
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116285]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Seminar: Research Seminar: Quantum field theory [116293]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Research Seminar: C*-Algebras [106901]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner)
- Vorlesung: Mathematics for Physicists III [104206]
- Seminar: 2.1 Optional Courses [114285]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Topological recursion, noncomutative geometry and condensed matter physics [104220]
(in cooperation with Prof. Dr. Jean Vicent Bellissard) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114284]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Research Seminar: C*-Algebras [104265]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists III [104207]
- Vorlesung: Mathematics for Physicists II [102205]
- Seminar: 1.3.3 Third academic year [102279]
(in cooperation with Prof. Dr. Jean Vicent Bellissard) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112297]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Seminar: Master-Thesis [112292]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Research Seminar: C*-Algebras [102253]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists II [102206]
(in cooperation with Alexander Hock)
- Vorlesung: 2.4 Preparation for the Final Exams [100203]
- Seminar: Research Seminar: Quantum field theory [110282]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110280]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Oberseminar: Research Seminar: C*-Algebras [100265]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Jun.-Prof. Tim de Laat, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists I [100204]
(in cooperation with Alexander Hock)
- Vorlesung: Introduction to General Relativity and Cosmology [118303]
(in cooperation with Prof. Dr. Anna Kulesza) - Vorlesung: Complex Analysis [108232]
- Seminar: Research Seminar: Quantum field theory [118289]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118288]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Research Seminar: C*-Algebras [108176]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Jun.-Prof. Tim de Laat, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Complex Analysis [108233]
- Vorlesung: Mathematics for Physicists III [106007]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116318]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Seminar: Research Seminar: Quantum field theory [116317]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar: C*-Algebras [106051]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists III [106008]
(in cooperation with )
- Vorlesung: Introduction to General Relativity and Cosmology [114338]
(in cooperation with Prof. Dr. Gernot Münster) - Vorlesung: Mathematics for Physicists II [104000]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114316]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Seminar: Research Seminar: Quantum field theory [114317]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Research Seminar: C*-algebras [104040]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists II [104001]
(in cooperation with )
- Vorlesung: Mathematics for Physicists I [102011]
- Seminar: Seminar "Models for two dimensional quantum field theories" [102013]
- Seminar: Research Seminar: Quantum field theory [112343]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Research Seminar: Joint Seminar KP/TP [112344]
(in cooperation with Prof. Dr. Christian Weinheimer, apl. Prof. Alfons Khoukaz, Dr. Volker Hannen, Prof. Dr. Michael Klasen, apl. Prof. Christian Klein-Bösing, Prof. Dr. Anna Kulesza, apl. Prof. Jochen Heitger, Prof. Dr. Johannes Wessels, Prof. Dr. Dieter Frekers, Prof. Dr. Gernot Münster, Prof. Dr. Raimund Vogl, Priv.-Doz. Karol Kovarik) - Research Seminar C*-Algebras [102451]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists I [102012]
- Vorlesung: Mathematical Models in Statistical Physics and Quantum Field Theory [100095]
- Seminar: Research Seminar: Quantum field theory [111710]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Priv.-Doz. Karol Kovarik, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [102561]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematical Models in Statistical Physics and Quantum Field Theory [100100]
- Vorlesung: Mathematics for Physicists III [100078]
- Seminar: Research Seminar: Quantum field theory [111784]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [102032]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists III [100082]
(in cooperation with Ingo Ullisch)
- Vorlesung: Mathematics for Physicists II [101434]
- Seminar: Yang-Baxter-Gleichungen
(in cooperation with ) - Seminar: Research Seminar: Quantum field theory [111924]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Seminar: Seminar on Random Matrices [102560]
(in cooperation with Prof. Dr. Matthias Löwe) - Oberseminar: Research Seminar C*-Algebras [101620]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists II [101449]
(in cooperation with Ingo Ullisch)
- Vorlesung: Mathematics for Physicists I [101417]
- Seminar: 1.2.4 Elective modules [101436]
(in cooperation with ) - Seminar: Research Seminar: Quantum field theory [112038]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [101622]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner) - Tutorial Mathematics for Physisists I [101421]
- Seminar: Research Seminar: Quantum field theory [111960]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [103841]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, Jun.-Prof. Walther Paravicini, apl. Prof. Wend Werner)
- Vorlesung: Mathematics for Physicists III [100878]
- Seminar: Integral Transformations [102593]
- Seminar: Research Seminar: Quantum field theory [111943]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [100423]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physisists III [100882]
(in cooperation with )
- Vorlesung: Mathematics for Physicists II [100286]
- Seminar: Algebraic Quantum Field Theory [100271]
(in cooperation with ) - Seminar: Research Seminar: Quantum field theory [112013]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen, Prof. Dr. Anna Kulesza) - Oberseminar: Research Seminar C*-Algebras [100415]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physisists II [100290]
(in cooperation with )
- Vorlesung: Mathematics for Physicists I [100254]
- Seminar: Research Seminar: Quantum field theory [112000]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen) - Seminar: Conformal Field Theory [100273]
(in cooperation with ) - Oberseminar: Research Seminar C*-Algebras [100417]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Wilhelm Winter, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physisists I [100269]
(in cooperation with )
- Vorlesung: Introduction to Functional Analysis [100212]
- Seminar: Mathematical Structures in Quantum Mechanics [100231]
(in cooperation with apl. Prof. Wend Werner) - Seminar: Research Seminar: Quantum field theory [111952]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Prof. Dr. Michael Klasen) - Oberseminar: Research Seminar C*-Algebras [100428]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Introduction to Functional Analysis [200227]
(in cooperation with )
- Vorlesung: Module 17: Modern Aspects of Analytical Chemistry [100233]
- Seminar: von Neumann Algebras [100252]
(in cooperation with ) - Seminar: Research Seminar: Quantum field theory [112510]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Federico Farchioni) - Oberseminar: Research Seminar C*-Algebras [100420]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Tutorial Mathematics for Physicists III [100248]
(in cooperation with )
- Vorlesung: Thematic Seminar [100301]
- Seminar: Research Seminar: Quantum field theory [112187]
(in cooperation with apl. Prof. Jochen Heitger, Prof. Dr. Gernot Münster, Federico Farchioni) - Oberseminar: C*-Algebras [100464]
(in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Cuntz, apl. Prof. Wend Werner) - Kolloquium: Seminar of the Research Training group [103304]
(in cooperation with Prof. Dr. Joachim Cuntz, Prof. Dr. Burkhard Wilking, Prof. Dr. Linus Kramer, Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Lohkamp, Falko Lorenz, Juergen Elstrodt, Helmut Hamm, Prof. Dr. Peter Schneider, Prof. Dr. Arthur Bartels, Prof. Dr. Christopher Deninger, Ludwig Bröcker) - Übungen zur Einführung in die Funktionalanalysis [100227]
(in cooperation with ) - Exercises for Mathematics for Physicists 2 [100316]
- Vorlesung: Elements of Euklid [100258]
Projects
Selection
- EXC 2044 - B3: Operator algebras & mathematical physics ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - CRC 1442: Geometry: Deformation and Rigidity - D03: Integrability ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, D03 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Research Training Group | Project Number: GRK 2149/1 - CRC 878 C04 - Mathematical aspects of QFT and condensed matter ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre - CRC 478 E04 - Noncommutative geometry and quantisation of physical interactions ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: INST 211/389-1:3
Complete List
- CRC 1442 - D03: Integrability ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/2, D03 - EXC 2044 - B3: Operator algebras & mathematical physics ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - C1: Evolution and asymptotics ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - C3: Interacting particle systems and phase transitions ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Research Training Group | Project Number: GRK 2149/2 - CRC 1442: Geometry: Deformation and Rigidity - D03: Integrability ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, D03 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Research Training Group | Project Number: GRK 2149/1 - CRC 878 C04 - Mathematical aspects of QFT and condensed matter ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre - EU-NCG – Noncommutative Geometry ( – )
EU-Project Hosted outside the University of Münster: EC FP 6 - Marie Curie Actions - Research Training Networks | Project Number: MRTN-CT-2006-031962 - CRC 478 E04 - Noncommutative geometry and quantisation of physical interactions ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: INST 211/389-1:3
- EXC 2044 - B3: Operator algebras & mathematical physics ( – )
Publications
Selection
- Grosse, Harald, Hock, Alexander, and Wulkenhaar, Raimar. . “A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT.” Communications in Mathematical Physics, № 399: 481–517. doi: 10.1007/s00220-022-04557-w.
- Schürmann, Jörg, and Wulkenhaar, Raimar. . “An algebraic approach to a quartic analogue of the Kontsevich model.” Mathematical Proceedings, № 174 (3): 471–495. doi: 10.1017/S0305004122000366.
- Branahl, Johannes, Hock, Alexander, and Wulkenhaar, Raimar. . “Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures.” Communications in Mathematical Physics, № 393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
- Panzer, Erik, and Wulkenhaar, Raimar. . “Lambert-W solves the noncommutative ϕ4-model.” Communications in Mathematical Physics, № 374: 1935–1961. doi: 10.1007/s00220-019-03592-4.
- Wulkenhaar, Raimar. . “Quantum field theory on noncommutative spaces.” in Advances in Noncommutative Geometry, edited by Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici and Guoliang Yu. Basel: Springer International Publishing. doi: 10.1007/978-3-030-29597-4_11.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory.” Communications in Mathematical Physics, № 329 (3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
- Rivasseau, Vincent, Vignes-Tourneret, Fabien, and Wulkenhaar, Raimar. . “Renormalisation of noncommutative ϕ4-theory by multi-scale analysis.” Communications in Mathematical Physics, № 262 (3): 565–594. doi: 10.1007/s00220-005-1440-4.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base.” Communications in Mathematical Physics, № 256 (2): 305–374. doi: 10.1007/s00220-004-1285-2.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Power-counting theorem for non-local matrix models and renormalisation.” Communications in Mathematical Physics, № 254 (1): 91–127. doi: 10.1007/s00220-004-1238-9.
- Krajewski, Thomas, and Wulkenhaar, Raimar. . “Perturbative quantum gauge fields on the noncommutative torus.” International Journal of Modern Physics A, № 15 (7): 1011–1029. doi: 10.1142/S0217751X00000495.
Complete List
- Hock, Alexander, Shadrin, Sergey, and Wulkenhaar, Raimar. . “Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions.” arXiv doi: 10.48550/arXiv.2501.00082.
- Song, Chunqiu, Weber, Hendrik, and Wulkenhaar, Raimar. . “Stochastic quantization of λϕ^4_2-theory in 2-d Moyal space.” arXiv doi: 10.48550/arXiv.2502.02355.
- Hock, Alexander, and Wulkenhaar, Raimar. Forthcoming. “Blobbed topological recursion from extended loop equations.” Journal of Geometry and Physics, № online first 105457. doi: 10.1016/j.geomphys.2025.105457.
- Hock, Alexander, Wulkenhaar, Raimar, and Dołega, Maciej (appendix). Forthcoming. “Blobbed topological recursion of the quartic Kontsevich model II: Genus=0.” Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, № online first doi: 10.4171/AIHPD/198.
- Borot, Gaëtan, and Wulkenhaar, Raimar. . “A note on BKP for the Kontsevich matrix model with arbitrary potential.” Symmetry, Integrability and Geometry: Methods and Applications, № 20 050. doi: 10.3842/SIGMA.2024.050.
- Grosse, Harald, Kanomata, Naoyuki, Sako, Akifumi, and Wulkenhaar, Raimar. . “Relationship between Φ^4-matrix model and N-body harmonic oscillator or Calogero-Moser model.” contribution to the The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28), Prague doi: 10.1088/1742-6596/2912/1/012014.
- Grosse, Harald, Kanomata, Naoyuki, Sako, Akifumi, and Wulkenhaar, Raimar. . “Real symmetric Φ^4-matrix model as Calogero-Moser model.” Letters in Mathematical Physics, № 114 25. doi: 10.1007/s11005-024-01772-5.
- Melong, Fridolin, and Wulkenhaar, Raimar. . “Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra.” Journal of Mathematical Physics, № 64 (7) 073505. doi: 10.1063/5.0150975.
- Grosse, Harald, Hock, Alexander, and Wulkenhaar, Raimar. . “A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT.” Communications in Mathematical Physics, № 399: 481–517. doi: 10.1007/s00220-022-04557-w.
- Schürmann, Jörg, and Wulkenhaar, Raimar. . “An algebraic approach to a quartic analogue of the Kontsevich model.” Mathematical Proceedings, № 174 (3): 471–495. doi: 10.1017/S0305004122000366.
- Branahl, Johannes, Grosse, Harald, Hock, Alexander, and Wulkenhaar, Raimar. . “From scalar fields on quantum spaces to blobbed topological recursion.” Journal of Physics A: Mathematical and Theoretical, № 55 (42) 423001. doi: 10.1088/1751-8121/ac9260.
- Branahl, Johannes, Hock, Alexander, and Wulkenhaar, Raimar. . “Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures.” Communications in Mathematical Physics, № 393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
- de Jong, Jins, Hock, Alexander, and Wulkenhaar, Raimar. . “Nested Catalan tables and a recurrence relation in noncommutative quantum field theory.” Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, № 9 (1): 47–72. doi: 10.4171/AIHPD/113.
- Kohl, Finn Bjarne, and Wulkenhaar, Raimar. . “Intersection theory of the complex quartic Kontsevich model.” arXiv doi: 10.48550/arXiv.2212.01359.
- Pascalie, Romain, Pérez-Sánchez, Carlos Ignacio, and Wulkenhaar, Raimar. . “Correlation functions of U(N)-tensor models and their Schwinger-Dyson equations.” Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, № 8 (3): 377–458. doi: 10.4171/AIHPD/107.
- Branahl, Johannes, Hock, Alexander, and Wulkenhaar, Raimar. . “Perturbative and geometric analysis of the quartic Kontsevich model.” Symmetry, Integrability and Geometry: Methods and Applications, № 17: 085. doi: 10.3842/SIGMA.2021.085.
- Münster, Gernot, and Wulkenhaar, Raimar. . “The Leutwyler-Smilga relation on the lattice.” Modern Physics Letters A, № 35 (01): 1950346. doi: 10.1142/S0217732319503462.
- Grosse, Harald, Hock, Alexander, and Wulkenhaar, Raimar. . “Solution of the self-dual \Phi^4 QFT-model on four-dimensional Moyal space.” Journal of High Energy Physics (JHEP), № 01: 081. doi: 10.1007/JHEP01(2020)081.
- Panzer, Erik, and Wulkenhaar, Raimar. . “Lambert-W solves the noncommutative ϕ4-model.” Communications in Mathematical Physics, № 374: 1935–1961. doi: 10.1007/s00220-019-03592-4.
- de Jong, Jins, and Wulkenhaar, Raimar. . “Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling.” Journal of Mathematical Physics, № 60 (8) 083504. doi: 10.1063/1.5063293.
- Pascalie, Romain, Pérez-Sánchez, Carlos Ignacio, Tanasa, Adrian, and Wulkenhaar, Raimar. . “On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory.” Journal of Mathematical Physics, № 60 (7) 073502. doi: 10.1063/1.5080306.
- Grosse, Harald, Hock, Alexander, and Wulkenhaar, Raimar. . “Solution of all quartic matrix models.” arXiv doi: 10.48550/arXiv.1906.04600.
- Wulkenhaar, Raimar. . “Quantum field theory on noncommutative spaces.” in Advances in Noncommutative Geometry, edited by Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici and Guoliang Yu. Basel: Springer International Publishing. doi: 10.1007/978-3-030-29597-4_11.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Integrability and positivity in quantum field theory on noncommutative geometry.” Journal of Geometry and Physics, № 134: 249–262. doi: 10.1016/j.geomphys.2018.08.001.
- Grosse, Harald, and Wulkenhaar, Raimar. . “How Prof. Zeidler supported our research on exact solution of quantum field theory toy models.” Vietnam Journal of Mathematics, № 47: 93–112. doi: 10.1007/s10013-018-0302-2.
- Hock, Alexander, and Wulkenhaar, Raimar. . “Noncommutative 3-colour scalar quantum field theory model in 2D.” The European Physical Journal C, № 78 580. doi: 10.1140/epjc/s10052-018-6042-3.
- Wulkenhaar, Raimar. . “Lambert-W solves the noncommutative \Phi^4-model.” in Vol. 15 of Oberwolfach Reports doi: 10.4171/OWR/2018/32.
- Grosse, Harald, Sako, Akifumi, and Wulkenhaar, Raimar. . “The \Phi^3_4 and \Phi^3_6 matricial QFT models have reflection positive two-point function.” Nuclear Physics B, № 926: 20–48. doi: 10.1016/j.nuclphysb.2017.10.022.
- Grosse, Harald, Sako, Akifumi, and Wulkenhaar, Raimar. . “Exact solution of matricial \Phi^3_2 quantum field theory.” Nuclear Physics B, № 925: 319–347. doi: 10.1016/j.nuclphysb.2017.10.010.
- de Jong, Jins, and Wulkenhaar, Raimar. . “The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices.” arXiv.org doi: 10.48550/arXiv.1701.07719.
- Wulkenhaar, Raimar. . “Reflection positivity in large-deformation limits of noncommutative field theories.” in Vol. 14 of Oberwolfach Reports doi: 10.4171/OWR/2017/55.
- Wulkenhaar, Raimar. . “Integrability in a 4D QFT model.” in Vol. 13 of Oberwolfach Reports 13 doi: 10.4171/OWR/2016/36.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Construction of a quantum field theory in four dimensions.” PoS - Proceedings of Science, № 224 151. doi: 10.22323/1.224.0151.
- Grosse, Harald, and Wulkenhaar, Raimar. . “A solvable four-dimensional QFT.” in Quantum Mathematical Physics - A Bridge between Mathematics and Physics, edited by F Finster, J Kleiner, C Röken and J Tolksdorf. Basel: Springer International Publishing. doi: 10.1007/978-3-319-26902-3_8.
- Eckstein, Michał, Sitarz, Andrzej, and Wulkenhaar, Raimar. . “The Moyal sphere.” Journal of Mathematical Physics, № 2016 (57) 112301. doi: 10.1063/1.4965446.
- Grosse, Harald, and Wulkenhaar, Raimar. . “On the fixed point equation of a solvable 4D QFT model.” Vietnam Journal of Mathematics, № 2016 (44): 153–180. doi: 10.1007/s10013-015-0174-7.
- Ousmane Samary, Dine, Pérez-Sánchez, Carlos Ignacio, Vignes-Tourneret, Fabien, and Wulkenhaar, Raimar. . “Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation.” Classical and Quantum Gravity, № 32 (17): 175012. doi: 10.1088/0264-9381/32/17/175012.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Towards a construction of a quantum field theory in four dimensions.” in Mathematical Structures of the Universe, edited by M Eckstein, M Heller and S Szybka. Krakau: Copernicus Center Press.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Noncommutative quantum field theory.” Fortschritte der Physik, № 62 (9-10): 797–811. doi: 10.1002/prop.201400020.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity.” arXiv doi: 10.48550/arXiv.1406.7755.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory.” Communications in Mathematical Physics, № 329 (3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space.” RIMS Kôkyûroku, № 2014 (1904): 67–104.
- Gayral, Victor, and Wulkenhaar, Raimar. . “Spectral geometry of the Moyal plane with harmonic propagation.” Journal of Noncommutative Geometry, № 7 (4): 939–979. doi: 10.4171/JNCG/140.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Construction and properties of noncommutative quantum fields.” in XVIIth International Congress on Mathematical Physics, edited by A Jensen. Singapore: World Scientific Publishing. doi: 10.1142/9789814449243_0066.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Solvable limits of a 4D noncommutative QFT.” arXiv doi: 10.48550/arXiv.1306.2816.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Construction of a Noncommutative Quantum Field Theory.” in Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, Vol. 87 of Proceedings of Symposia in Pure Mathematics, edited by H Holden, B Simon and G Teschl. Providence, RI: American Mathematical Society. doi: 10.1090/pspum/087/01442.
- Spisso, Bernardino, and Wulkenhaar, Raimar. . “A numerical approach to harmonic non-commutative spectral field theory.” International Journal of Modern Physics A, № 27 (14) 1250075. doi: 10.1142/S0217751X12500753.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalization of a noncommutative field theory.” International Journal of Modern Physics A, № 27 (12) 1250067. doi: 10.1142/S0217751X12500674.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalizable noncommutative quantum field theory.” Journal of Physics: Conference Series, № 343 012043. doi: 10.1088/1742-6596/343/1/012043.
- Grosse, Harald, and Wulkenhaar, Raimar. . “8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory.” Journal of Geometry and Physics, № 62 (7): 1583–1599. doi: 10.1016/j.geomphys.2012.03.005.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalization of a noncommutative field theory.” International Journal of Modern Physics: Conference Series, № 13: 108–117. doi: 10.1142/S2010194512006770.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalisation of the Grosse-Wulkenhaar model.” PoS - Proceedings of Science, № QGQGS (2011) 011.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalizable noncommutative quantum field theory.” General Relativity and Gravitation, № 43: 2491–2498. doi: 10.1007/s10714-010-1065-6.
- Wulkenhaar, Raimar. . “Quantum field theory on noncommutative geometries.” in Vol. 7 of Oberwolfach Reports doi: 10.4171/OWR/2010/09.
- Wulkenhaar, Raimar. . “Non-compact spectral triples with finite volume.” in Quanta of Maths, Vol. 11 of Clay Math. Proc., edited by E Blanchard, D Ellwood, M Khalkhali, M Marcolli, H Moscovici and S Popa. Providence, RI: American Mathematical Society.
- Wulkenhaar, Raimar. . “Progress in solving a noncommutative QFT in four dimensions.” in Vol. 6 of Oberwolfach Reports doi: 10.4171/OWR/2009/41.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Progress in solving a noncommutative quantum field theory in four dimensions.” arXiv doi: 10.48550/arXiv.0909.1389.
- Marcillaud, de Goursac A, Wallet, JC, and Wulkenhaar, R. . “On the vacuum states for non-commutative gauge theory.” European Physical Journal C: Particles and Fields, № 56 (2): 293–304. doi: 10.1140/epjc/s10052-008-0652-0.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalization of noncommutative quantum field theory.” in An invitation to noncommutative geometry, edited by M Khalkhali and M Marcolli. Singapore: World Scientific Publishing. doi: 10.1142/9789812814333_0002.
- Gayral, Victor, Jureit, Jan-Hendrik, Krajewski, Thomas, and Wulkenhaar, Raimar. . “Quantum field theory on projective modules.” Journal of Noncommutative Geometry, № 1 (4): 431–496. doi: 10.4171/JNCG/13.
- Marcillaud de Goursac, Axel, Jean-Christophe, Wallet, and Wulkenhaar, Raimar. . “Noncommutative induced gauge theory.” European Physical Journal C: Particles and Fields, № 51 (4): 977–987. doi: 10.1140/epjc/s10052-007-0335-2.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Noncommutative QFT and renormalization.” in Quantum Gravity - Mathematical Models and Experimental Bounds, edited by B Fauser, J Tolksdorf and E Zeidler. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-7643-7978-0_16.
- Wulkenhaar, Raimar. . “The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory.” in Vol. 4 of Oberwolfach Reports doi: 10.4171/OWR/2007/43.
- Wulkenhaar, Raimar. . “Renormalisation scalar quantum field theory on 4D-Moyal plane.” in Vol. 3 of Oberwolfach Reports doi: 10.4171/OWR/2006/17.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Noncommutative QFT and renormalization.” Bulgarian Journal of Physics, № 33 (s1): 215–225.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Noncommutative QFT and renormalization.” Fortschritte der Physik, № 54 (2-3): 116–123. doi: 10.1002/prop.200510260.
- Rivasseau, Vincent, Vignes-Tourneret, Fabien, and Wulkenhaar, Raimar. . “Renormalisation of noncommutative ϕ4-theory by multi-scale analysis.” Communications in Mathematical Physics, № 262 (3): 565–594. doi: 10.1007/s00220-005-1440-4.
- Wulkenhaar, Raimar. . “Field theories on deformed spaces.” Journal of Geometry and Physics, № 56 (1): 108–141. doi: 10.1016/j.geomphys.2005.04.019.
- Wulkenhaar, R. . “Euclidean quantum field theory on commutative and noncommutative spaces.” in Geometric and Topological Methods for Quantum Field Theory, Vol. 668 of Lecture Notes in Physics, edited by H Ocampo, S Paycha and A Vargas. Düsseldorf: Springer VDI Verlag. doi: 10.1007/11374060_2.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base.” Communications in Mathematical Physics, № 256 (2): 305–374. doi: 10.1007/s00220-004-1285-2.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation of scalar quantum field theory on noncommutative R^4.” Fortschritte der Physik, № 53 (5-6): 634–639. doi: 10.1002/prop.200410231.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation of \phi^4-theory on non-commutative R^4 to all orders.” Letters in Mathematical Physics, № 71 (1): 13–26. doi: 10.1007/s11005-004-5116-3.
- Grosse, Harald, and Wulkenhaar, Raimar. . “Power-counting theorem for non-local matrix models and renormalisation.” Communications in Mathematical Physics, № 254 (1): 91–127. doi: 10.1007/s00220-004-1238-9.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation of noncommutative scalar field theories.” in Lie Theory and its Applications in Physics V, edited by H-D Doebner and VK Dobrev. Singapore: World Scientific Publishing. doi: 10.1142/9789812702562_0006.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation of noncommutative quantum field theories.” Czechoslovak Journal of Physics, № 54 (11): 1305–1311. doi: 10.1007/s10582-004-9793-z.
- Grosse, H, and Wulkenhaar, R. . “Regularization and renormalization of quantum field theories on noncommutative spaces.” Journal of Nonlinear Mathematical Physics, № 11 (suppl.): 9–20. doi: 10.2991/jnmp.2004.11.s1.2.
- Bichl, AA, Ertl, M, Gerhold, A, et al. . “Noncommutative U(1) super-Yang-Mills theory: perturbative self-energy corrections.” International Journal of Modern Physics A, № 19 (25): 4231–4249. doi: 10.1142/S0217751X04018221.
- Grimstrup, JM, Grosse, H, Popp, L, et al. . “IR singularities in noncommutative perturbative dynamics?” Europhysics Letters, № 67 (2): 186–190. doi: 10.1209/epl/i2003-10285-9.
- Grosse, H, and Wulkenhaar, R. . “The \beta-function in duality-covariant non-commutative \phi^4-theory.” European Physical Journal C: Particles and Fields, № 35 (2): 277–282. doi: 10.1140/epjc/s2004-01853-x.
- Wulkenhaar, R. . “Renormalisation of noncommutative \phi^4-theory to all orders.” in Vol. 1 of Oberwolfach Reports doi: 10.4171/OWR/2004/45.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation group approach to noncommutative quantum field theory.” in Particle Physics and the Universe, Vol. 98 of Springer Proceedings in Physics, edited by J Trampetic and J Wess. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-26798-0_19.
- Grosse, H, and Wulkenhaar, R. . “Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base.” Journal of High Energy Physics (JHEP), № 03 (12): 019. doi: 10.1088/1126-6708/2003/12/019.
- Putz, V, and Wulkenhaar, R. . “Seiberg-Witten map for noncommutative super Yang-Mills theory.” International Journal of Modern Physics A, № 18 (19): 3325–3334. doi: 10.1142/S0217751X03015246.
- Bozkaya, H, Fischer, P, Grosse, H, et al. . “Space/time non-commutative field theories and causality.” European Physical Journal C: Particles and Fields, № 29 (1): 133–141. doi: 10.1140/epjc/s2003-01210-9.
- Grosse, H, and Wulkenhaar, R. . “Regularisation and renormalisation of quantum field theories on noncommutative spaces.” in Modern Mathematical Physics, edited by B Dragovich and B Sazdovic. N/A: Selbstverlag / Eigenverlag.
- Wulkenhaar, R. . “Introduction to Hopf algebras in renormalization and noncommutative geometry.” in Noncommutative geometry and the standard model of elementary particle physics, Vol. 596 of Lecture Notes in Physics, edited by F Scheck, H Upmeier and W Werner. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-46082-9_17.
- Grimstrup, JM, and Wulkenhaar, R. . “Quantisation of \theta-expanded non-commutative QED.” European Physical Journal C: Particles and Fields, № 26 (1): 139–151. doi: 10.1140/epjc/s2002-01038-9.
- Gerhold, A, Grimstrup, J, Grosse, H, Popp, L, Schweda, M, and Wulkenhaar, R. . “The energy-momentum tensor on noncommutative spaces -- some pedagogical comments.” Ukrainian Journal of Physics, № 47 (3): 219–225.
- Grimstrup, JM, Grosse, H, Kraus, E, Popp, L, Schweda, M, and Wulkenhaar, R. . “Noncommutative spin-1/2 representations.” European Physical Journal C: Particles and Fields, № 24 (3): 491–494. doi: 10.1007/s10052-002-0938-6.
- Bichl, AA, Grimstrup, JM, Popp, L, Schweda, M, and Wulkenhaar, R. . “Perturbative analysis of the Seiberg-Witten map.” International Journal of Modern Physics A, № 17 (16): 2219–2231. doi: 10.1142/S0217751X02010649.
- Wulkenhaar, R. . “Non-renormalizability of \theta-expanded non-commutative QED.” Journal of High Energy Physics (JHEP), № 02 (03): 024. doi: 10.1088/1126-6708/2002/03/024.
- Bichl, AA, Grimstrup, JM, Grosse, H, et al. . “Noncommutative Lorentz symmetry and the origin of the Seiberg-Witten map.” European Physical Journal C, № 24: 491–494. doi: 10.1007/s100520100857.
- Wulkenhaar, R. . Quantum field theories on noncommutative R^4 versus \theta-expanded quantum field theories,
- Martinetti, P, and Wulkenhaar, R. . “Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry.” Journal of Mathematical Physics, № 43 (1): 182–204. doi: 10.1063/1.1418012.
- Bichl, AA, Grimstrup, JM, Popp, L, Schweda, M, Grosse, H, and Wulkenhaar, R. . “Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map.” Journal of High Energy Physics (JHEP), № 01 (06): 013. doi: 10.1088/1126-6708/2001/06/013.
- Bichl, AA, Grimstrup, JM, Popp, L, Schweda, M, and Wulkenhaar, R. . Deformed QED via Seiberg-Witten map,
- Wulkenhaar, R. . “Slavnov-Taylor identity in noncommutative geometry.” International Journal of Modern Physics B, № 14 (22-23): 2503–2509. doi: 10.1142/S0217979200002053.
- Bichl, AA, Grimstrup, JM, Popp, L, Schweda, M, Grosse, H, and Wulkenhaar, R. . “The superfield formalism applied to the non-commutative Wess-Zumino model.” Journal of High Energy Physics (JHEP), № 00 (10): 046. doi: 10.1088/1126-6708/2000/10/046.
- Grosse, H, Krajewski, T, and Wulkenhaar, R. . Renormalization of noncommutative Yang-Mills theories: A simple example,
- Krajewski, Thomas, and Wulkenhaar, Raimar. . “Perturbative quantum gauge fields on the noncommutative torus.” International Journal of Modern Physics A, № 15 (7): 1011–1029. doi: 10.1142/S0217751X00000495.
- Krajewski, T, and Wulkenhaar, R. . “On Kreimer's Hopf algebra structure of Feynman graphs.” European Physical Journal C: Particles and Fields, № 7 (4): 697–708. doi: 10.1007/s100520050439.
- Wulkenhaar, R. . “SO(10)-unification in noncommutative geometry revisited.” International Journal of Modern Physics A, № 14 (4): 559–588. doi: 10.1142/S0217751X99000282.
- Wulkenhaar, R. . “Gauge theories with graded differential Lie algebras.” Journal of Mathematical Physics, № 40 (2): 787–794. doi: 10.1063/1.532685.
- Wulkenhaar, R. . “On Feynman graphs as elements of a Hopf algebra.” in Quantum Groups, Noncommutative Geometry and Fundamental Physical Interactions, Vol. 226 of Horizons in World Physics, edited by D Kastler, M Rosso and T Schücker. Hauppauge, NY: Nova Science Publishers.
- Wulkenhaar, R. . On the Connes-Moscovici Hopf algebra associated to the diffeomorphisms of a manifold,
- Wulkenhaar, R. . “Graded differential Lie algebras and SU(5) x U(1)-grand unification.” International Journal of Modern Physics A, № 13 (15): 2627–2692. doi: 10.1142/S0217751X98001359.
- Wulkenhaar, R. . “Graded differential Lie algebras and model building.” Journal of Geometry and Physics, № 25 (3-4): 305–325. doi: 10.1016/S0393-0440(97)00029-6.
- Wulkenhaar, R. . “Gauge field theories in terms of graded differential Lie algebras.” in Lie Theory and its Applications in Physics II, edited by H-D Doebner, VK Dobrev and J Hilgert. Singapore: World Scientific Publishing. doi: 10.1142/3852.
- Wulkenhaar, R. . “Noncommutative geometry with graded differential Lie algebras.” Journal of Mathematical Physics, № 38 (6): 3358–3390. doi: 10.1063/1.532048.
- Wulkenhaar, R. . “The standard model within non-associative geometry.” Physics Letters B, № 390 (1-4): 119–127. doi: 10.1016/S0370-2693(96)01336-6.
- Wulkenhaar, R. . “Yang-Mills-Higgs models arising from L-cycles.” in GROUP 21, edited by H-D Doebner, P Nattermann, W Scherer and C Schulte. Singapore: World Scientific Publishing. doi: 10.1142/3473.
- Wulkenhaar, R. . Gyros as geometry of the standard model,
- Matthes, R, Rudolph, G, and Wulkenhaar, R. . “Graded Lie algebras with derivation and model building.” in Lie Theory and its Applications in Physics, edited by H-D Doebner, VK Dobrev and J Hilgert. Singapore: World Scientific Publishing. doi: 10.1142/3301.
- Matthes, R, Rudolph, G, and Wulkenhaar, R. . “On certain graded Lie algebras arising in noncommutative geometry.” Acta Physica Polonica Series B, № 27 (10): 2755–2762.
- Matthes, R, Rudolph, G, and Wulkenhaar, R. . “On the structure of a differential algebra used by Connes and Lott.” Reports on Mathematical Physics, № 38 (1): 45–66. doi: 10.1016/0034-4877(96)87677-4.
- Matthes, R, Rudolph, G, and Wulkenhaar, R. . “On a certain construction of graded Lie algebras with derivation.” Journal of Geometry and Physics, № 20 (2-3): 107–141. doi: 10.1016/0393-0440(95)00048-8.
- Wulkenhaar, R. . “Deriving the standard model from the simplest two-point K-cycle.” Journal of Mathematical Physics, № 37 (8): 3797–3814. doi: 10.1063/1.531602.
Supervised Doctoral Studies
Lindner; Jakob Topological recursion and integrability Harengel, Katharina The combinatorial structure of correlation functions in the quartic Kontsevich model and its connections to freeness in free probability Jost, Finn Bjarne Quantum Field Theoretic and Combinatorial Perspectives on Intersection Numbers on the Moduli Space of Complex Curves: Explicit calculations in the Quartic Kontsevich Model & logarithmic concavity Branahl, Johannes The Recursive Structure of the Quartic Kontsevich Model Pascalie, Romain Random tensors and the Sachdev-Ye-Kitaev model Hock, Alexander Matrix Field Theory Gerber, Henning Non-perturbative investigations of light bound states of N=1 supersymmetric Yang-Mills theory de Jong, Jins Partition function methods for the quartic scalar quantum field theory on the Moyal plane Perez Sanchez, Carlos Ignacio The Ward-Takahashi identity and the Schwinger-Dyson equations for colored tensor models Pfante, Oliver Noncommutative Chern-Simons theory Spisso, Bernardino A numerical approach to harmonic non-commutative spectral field theory Marcillaud de Goursac, Axel Noncommutative Geometry, Gauge Theory and Renormalization Schmidt, René Arithmetic gravity and Yang-Mills theory: An approach to adelic physics via algebraic spaces Talks
- Wulkenhaar, Raimar : “Noncommutative geometry meets topological recursion”. Developments in Modern Mathematics: the 2nd WiMGo conference, Göttingen, .
- Wulkenhaar, Raimar : “Scalar quantum fields on 4-dimensional noncommutative geometry”. Exactly solvable models, Wien, .
- Wulkenhaar; Raimar : “BKP-relations in Kontsevich model with arbitrary potential”. The QFT path, Heidelberg, .
- Wulkenhaar, Raimar : “Quantum fields on noncommutative geometries”. North Atlantic Noncommutative Geometry Seminar, Warsaw, .
- Wulkenhaar, Raimar : “Quantum fields on noncommutative geometries”. Workshop on Operator Algebras and Applications: Non-Commutative Geometry, Toronto, .
- Wulkenhaar, Raimar : “Matrix models and topological recursion”. Kolloquium Mathematische Physik, Universität Bielefeld, Bielefeld, .
- Wulkenhaar, Raimar : “Blobbed topological recursion of quartic matrix models”. Invitation to Recursion, Resurgence and Combinatorics, Okinawa, .
- Wulkenhaar, Raimar : “Blobbed topological recursion of the \lambda \Phi^4 matrix model”. Quantum Gravity and Random Geometry, Paris, .
- Wulkenhaar, Raimar : “The Euclidean λφ^4_4-model on noncommutative geometries: a status report”. Energy conditions in quantum field theory, Leipzig, .
- Wulkenhaar; Raimar : “How topological recursion organises quantum fields on noncommutative geometries (3 lectures)”. Fields Institute Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory, London (Ontario), .
- Wulkenhaar, Raimar : “Solution of the λΦ^4-matrix model”. Random Geometry in Heidelberg, Heidelberg, .
- Wulkenhaar, Raimar : “From scalar fields on noncommutativegeometries to blobbed topological recursion”. Emmy-Noether Seminar, Universität Leipzig, Deutschland, .
- Wulkenhaar, Raimar : “On ‘Topological recursion, discrete surfaces and cohomological field theories’ by Elba Garcia-Failde”. Higher Structures Emerging from Renormalisation, Erwin-Schrödinger-Institut, Vienna, Austria, .
- Wulkenhaar, Raimar : “From scalar fields on noncommutative geometries to blobbed topological recursion”. Workshop on Quantum Geometry, Field Theory and Gravity, Corfu, Greece, .
- Wulkenhaar, Raimar : “From noncommutative field theory towards topological recurrence”. Noncommutative Geometry and Physics, (remotely), .
- Wulkenhaar, Raimar : “Topological recursion of scalar fields in noncommutative geometry”. The Noncommutative Geometry Seminar, (remotely), .
- Wulkenhaar, Raimar : “Blobbed topological recursion of the quartic analogue of the Kontsevich model”. Research seminar "Structure of Local Quantum Field Theories", Humboldt-Universität zu Berlin, Berlin, Deutschland, .
- Wulkenhaar, Raimar : “Solvable Dyson-Schwinger equations”. Algebraic Structures in Perturbative Quantum Field Theory, IHÉS, Bures-sur-Yvette, France (remote workshop), .
- Wulkenhaar, Raimar : “Blobbed topological recursion of the quartic analogue of the Kontsevich model”. ESI Workshop "Higher Structures Emerging from Renormalisation", Erwin Schrödinger Institute, Vienna, Austria (remote workshop), .
- Wulkenhaar, Raimar : “The complete solution of the quartic analogue of the Kontsevich model”. Mathematical Physics Seminar, Harbin, China (remote talk), .
- Wulkenhaar, Raimar : “The complete solution of the quartic analogue of the Kontsevich model”. Séminaire de physique mathématique, Lyon, France (remote talk), .
- Wulkenhaar, Raimar : “Towards integrability of a quartic analogue of the Kontsevich model”. Quantum Field Theory Seminar, Mathematical Institute, University of Oxford, Oxford, United Kingdom, .
- Wulkenhaar, Raimar : “Solution of all quartic matrix models”. Mathematics of interacting QFT models, York, United Kingdom, .
- Wulkenhaar, Raimar : “Matrix models”. Colloquium of the Department of Mathematics, Saarbrücken, Deutschland, .
- Wulkenhaar, Raimar : “Solvable quantum field theories on noncommutative geometry”. Theoretical Physics and Mathematics (TPM) lecture, Odense, Denmark, .
- Wulkenhaar, Raimar : “Lambert-W solves the noncommutative \phi^4-model”. Non-commutative Geometry, Index Theory and Mathematical Physics , Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “Integrability in QFT-models on noncommutative geometry”. Structures in local quantum field theory, Les Houches, France, .
- Wulkenhaar, Raimar : “From NCQFT studied with Manfred to integrable QFT models”. Manfred Schweda Memorial Meeting, Wien, Österreich, .
- Wulkenhaar, Raimar : “Reflection positivity in large-deformation limits of noncommutative field theories”. Reflection Positivity , Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “Matricial quantum field theory”. Field Theories and Higher Structures in Mathematics and Physics, Oaxaca, Mexico, .
- Wulkenhaar, Raimar : “Matricial quantum field theory: renormalisation, integrability & positivity”. Wolfhart Zimmermann Memorial Symposium, München, Deutschland, .
- Wulkenhaar, Raimar : “Matricial.quantum field theory: Integrability. Positivity?” Noncommutative Geometry: Index Theory and its Ramifications in Geometry, Topology, and Physics, Shanghai, China, .
- Wulkenhaar, Raimar : “Exact solution of quantum field theory toy models”. Seminar Mathematische Physik, Wien, Österreich, .
- Wulkenhaar, Raimar : “Integrability in a 4D QFT model”. Recent Mathematical Developments in Quantum Field Theory, Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “A solvable quantum field theory in 4 dimensions”. Colloquium in Honour of Gerd Rudolph, Leipzig, Deutschland, .
- Wulkenhaar, Raimar : “A solvable quantum field theory in 4 dimensions”. Séminaire de physique mathématique, Institut Camille Jordan, Lyon, France, .
- Wulkenhaar, Raimar : “Mathematical Physics”. Retreat des GRK 2149, Telgte, Deutschland, .
- Wulkenhaar, Raimar : “A solvable quantum field theory in 4 dimensions”. Workshop on Noncommutative Field Theory and Gravity, Corfu, Greece, .
- Wulkenhaar, Raimar : “A solvable quantum field theory in 4 dimensions”. International Conference in Number Theory and Physics , Rio de Janeiro, Brazil, .
- Wulkenhaar, Raimar : “A solvable quantum field theory in 4 dimensions”. Seminar Humboldt-Universität, Berlin, Deutschland, .
- Wulkenhaar, Raimar : “Exact solution of a four-dimensional field theory”. Geometric and Algebraic Methods in Mathematical Physics, Dortmund, Deutschland, .
- Wulkenhaar, Raimar : “A non-trivial four-dimensional QFT. Part II”. Quantum Mathematical Physics - A Bridge between Mathematics and Physics , Regensburg, Deutschland, .
- Wulkenhaar, Raimar : “Exact solution of a four-dimensional field theory”. Hausdorff Trimester Program Non-commutative Geometry and its Applications, Bonn, Deutschland, .
- Wulkenhaar, Raimar : “Towards construction of a Wightman QFT in four dimensions”. Quantum Gravity Seminar, Perimeter Institute, Waterloo, Canada, .
- Wulkenhaar, Raimar : “Construction of a quantum field theory in four dimensions”. Frontiers of Fundamental Physics 14, Marseille, France, .
- Wulkenhaar, Raimar : “Construction of a quantum field theory in four dimensions”. Quantized geometry and physics, Bayrischzell, Deutschland, .
- Wulkenhaar, Raimar : “Exact solution of the quartic matrix model”. Quantum Gravity in Paris, Orsay, France, .
- Wulkenhaar, Raimar : “Schwinger functions and reflection positivity”. Lecture Series "A solvable (noncommutative) QFT in 4 dimensions", Göttingen, Deutschland, .
- Wulkenhaar, Raimar : “The Moyal space-\phi^4_4-QFT as a fixed point problem”. Lecture Series "A solvable (noncommutative) QFT in 4 dimensions", Göttingen, Deutschland, .
- Wulkenhaar, Raimar : “Solution of the quartic matrix model”. Lecture Series "A solvable (noncommutative) QFT in 4 dimensions", Göttingen, Deutschland, .
- Wulkenhaar, Raimar : “Construction of a 4D quantum field theory”. Lecture Series "A solvable (noncommutative) QFT in 4 dimensions", Göttingen, Deutschland, .
- Wulkenhaar, Raimar : “Construction of a 4D (noncommutative) quantum field theory”. Oberseminar Stochastik, Wuppertal, Deutschland, .
- Wulkenhaar, Raimar : “Non-trivial \Phi^4_4 on Moyal space I.+II.” Applications of Renormalization Group Methods in Mathematical Sciences, Kyoto, Japan, .
- Wulkenhaar, Raimar : “Noncommutative Geometry I.+II.” RIMS-Seminar, Kyoto University, Kyoto, Japan, .
- Wulkenhaar, Raimar : “Exact solution of the quartic matrix model and application to 4D noncommutative QFT”. Séminaire Mathématique, Laboratoire de Physique Théorique, Orsay, France, .
- Wulkenhaar, Raimar : “Exact solution of the quartic matrix model and application to 4D noncommutative QFT”. Noncommutative Geometry Seminar, Warszawa, Poland, .
- Wulkenhaar, Raimar : “Solvable quantum field theory models”. Mathematical Colloquium, Radboud Universiteit, Nijmegen, The Netherlands, .
- Wulkenhaar, Raimar : “Exact solution of a non-local four-dimensional quantum field theory”. 31st LQP Workshop "Foundations and Constructive Aspects of QFT" , Leipzig, Deutschland, .
- Wulkenhaar, Raimar : “Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory”. ESI Programme on “K-Theory and Quantum Fields”, Wien, Österreich, .
- Wulkenhaar, Raimar : “Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory”. NCGOA Spring Institute on Conformal Field Theory and von Neumann Algebras, Nashville, USA, .
- Wulkenhaar, Raimar : “Progress in solving noncommutative \phi^4-theory in four dimensions”. Planckland - Quantum Geometry and Matter, Trieste, Italia, .
- Wulkenhaar, Raimar : “Ward identities in matrix models arising from noncommutative geometry”. Quantum Theory and Gravitation, Zürich, Schweiz, .
- Wulkenhaar, Raimar : “The two-point function of noncommutative \phi^4_4-theory”. Kolloquium des GRK1463, Hannover, Deutschland, .
- Wulkenhaar, Raimar : “The two-point function of noncommutative \phi^4_4-theory”. Noncommutativity and Physics: Spacetime Quantum Geometry, Bayrischzell, Deutschland, .
- Wulkenhaar, Raimar : “QFT on NCG”. Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples, Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “Noncommutative spacetime”. The Physics of the Spectral Action, IHES, Bures-sur-Yvette, France, .
- Wulkenhaar, Raimar : “Non-compact spectral triples”. EU mid term review and conference "Quantum Spaces and Non-commutative Geometry", Copenhagen, Denmark, .
- Wulkenhaar, Raimar : “The standard model in NCG I.+II.” DPG - Physics School 2009: Mathematical Physics, Bad Honnef, Deutschland, .
- Wulkenhaar, Raimar : “Noncommutative Geometry I.-V.” DPG - Physics School 2009: Mathematical Physics, Bad Honnef, Deutschland, .
- Wulkenhaar, Raimar : “Progress in solving a noncommutative quantum field theory in four dimensions”. Noncommutative Geometry, Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “The matrix base of the Moyal space and interesting results obtained with it”. 2nd School & Conference on Noncommutative Geometry, Tehran, Iran, .
- Wulkenhaar, Raimar : “An overview of quantum field theory I.+II.” 2nd School & Conference on Noncommutative Geometry , Tehran, Iran, .
- Wulkenhaar, Raimar : “Non-compact spectral triples with finite volume”. ESI Program on Number Theory and Physics, Wien, Österreich, .
- Wulkenhaar, Raimar : “Noncommutative Quantum Field Theory”. Theoriekolloquium des Instituts für Physik, Johannes Gutenberg-Universität , Mainz, Deutschland, .
- Wulkenhaar, Raimar : “Non-compact spectral triples with finite volume”. QFT Seminar, Humboldt-Universität, Berlin, Deutschland, .
- Wulkenhaar, Raimar : “Non-compact spectral triples with finite volume”. Seminar des II. Instituts für Theoretische Physik, Hamburg, Deutschland, .
- Wulkenhaar, Raimar : “Non-compact spectral triples with finite volume”. Quantum Spacetime and Noncommutative Geometry, Roma, Italia, .
- Wulkenhaar, Raimar : “A spectral triple for harmonic oscillator Moyal space”. Workshop on Noncommutative Geometry, Hausdorff Trimester Program "Geometry and Physics", Bonn, Deutschland, .
- Wulkenhaar, Raimar : “A spectral triple for harmonic oscillator Moyal space”. Noncommutative Geometry Workshop, Fields Institute, Toronto, Canda, .
- Wulkenhaar, Raimar : “A spectral triple for harmonic oscillator Moyal space”. Kolloquium der Mathematischen Gesellschaft, Göttingen, Deutschland, .
- Wulkenhaar, Raimar : “A spectral triple for Moyal space with harmonic oscillator potential”. Mini-workshop on Fuzzy Physics and Random Matrices, Dublin, Ireland, .
- Wulkenhaar, Raimar : “Renormalisation of \phi^4_4-theory on Moyal space with oscillator potential”. Mini-workshop on Fuzzy Physics and Random Matrices, Dublin, Ireland, .
- Wulkenhaar, Raimar : “A spectral triple for Moyal space with harmonic oscillator potential”. ESI Workshop "Noncommutative Quantum Field Theory", Wien, Österreich, .
- Wulkenhaar, Raimar : “From the harmonic oscillator as a spectral triple to the vacuum of noncommutative gauge theory”. Workshop on Noncommutative Manifolds II , Trieste, Italia, .
- Wulkenhaar, Raimar : “The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory”. Noncommutative Geometry, Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “Euclidean quantum field theory on noncommutative space”. Seminar des II. Instituts für Theoretische Physik, Hamburg, Deutschland, .
- Wulkenhaar, Raimar : “Quantum field theory on projective modules”. Bayrischzell Workshop 2007 on noncommutativity and physics, Bayrischzell, Deutschland, .
- Wulkenhaar, Raimar : “The matrix base of the Moyal space and interesting results obtained with it”. Non Commutative Geometry and Physics , Orsay, France, .
- Wulkenhaar, Raimar : “Quantum field theory on projective modules”. Noncommutative Spacetime Geometries , Alessandria, Italia, .
- Wulkenhaar, Raimar : “Renormalisation of quantum field theories on noncommutative geometries”. MPIM-workshop "Renormalization", Bonn, Deutschland, .
- Wulkenhaar, Raimar : “Renormalisation of quantum field theories on noncommutative geometries”. Noncommutative Geometry and Physics: Fundamental Structure of Space and Time, Cambridge, United Kingdom, .
- Wulkenhaar, Raimar : “Renormalisation of scalar quantum field theory on 4D-Moyal plane”. The Rigorous Renormalization Group, Oberwolfach, Deutschland, .
- Wulkenhaar, Raimar : “Renormalisation of scalar quantum field theory on 4D-Moyal plane”. Seminar, Department of Mathematical Sciences, Copenhagen, Denmark, .
- Wulkenhaar, Raimar : “Renormalisation”. International Conference on Operator Algebras and their connections to Mathematical Physics, Settat, Morocco, .
Other writings
Renormalisation of noncommutative φ44-theory to all orders
Habilitation thesis in Theoretical Physics, submitted to the Faculty of Physics, Vienna University of Technology, July 2004
Non-Associative Geometry - Unified Models Based on L-cycles
Doctoral thesis (for academic degree Dr. rer. nat.), submitted to the Faculty of Physics and Earth Sciences, Leipzig University, 3 November 1997