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
- Maître de Conférence invité, Université de Provence, Marseille
- Professor (W2) for Pure Mathematics, WWU Münster
- Scientific Assistant, Max-Planck-Institute for Mathematics in the Sciences, Leipzig
- Marie-Curie Fellow, Faculty of Physics, University of Vienna
- DAAD Postdoc Fellow, Centre de Physique Théorique, Marseille
Teaching
- Seminar: Forschungsseminar: Quantenfeldtheorie [116696]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza)- [ – | Mon, – | | KP 304]
- Seminar: Colloquium of the Research Focus "Particle Physics" [116710]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger)- [ – | Fri, – | | KP 404]
- Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [106233]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann)- [Wed, – | | M B 5 (M 5)]
- Advanced seminar: Oberseminar C*-Algebren [106254]
(in cooperation with Julian Kranz, Wilhelm Winter, Shirly Geffen and David Kerr)- [ – | Tue, – | | M A 401 (SR 4)]
- Lecture: Integrabilität [104260]
- Seminar: Forschungsseminar: Quantenfeldtheorie [114657]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Focus "Particle Physics" [114662]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [104231]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Advanced seminar: Oberseminar C*-Algebren [104253]
(in cooperation with Wilhelm Winter, Shirly Geffen and David Kerr) - Practice: Übungen zur Integrabilität [104261]
- Lecture: Funktionentheorie für Lehramtsstudierende [102260]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112696]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Focus "Particle Physics" [112698]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [102235]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Advanced seminar: Oberseminar C*-Algebren [102252]
(in cooperation with Wilhelm Winter, Shirly Geffen and David Kerr) - Practice: Übungen Funktionentheorie für Lehramtsstudierende [102261]
- Lecture: Elemente des Euklid [100258]
- Seminar: Forschungsseminar: Quantenfeldtheorie [110612]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Focus "Particle Physics" [110634]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [100230]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Advanced seminar: Oberseminar C*-Algebren [100253]
(in cooperation with Wilhelm Winter, Shirly Geffen and David Kerr) - Practice: Übungen zur Vorlesung "Elements of Euklid" [100259]
- Lecture: Mathematik III für Studierende der Physik [108238]
- Seminar: Forschungsseminar: Quantenfeldtheorie [118675]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118682]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar C*-Algebren [108253]
(in cooperation with Wilhelm Winter, Shirly Geffen and David Kerr) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [108230]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik III für Studierende der Physik [108239]
- Lecture: Mathematik II für Studierende der Physik [106235]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116546]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Seminar on Free Probability [106406]
(in cooperation with Hendrik Weber) - Seminar: Forschungsseminar: Quantenfeldtheorie [116536]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Advanced seminar: Oberseminar C*-Algebren [106252]
(in cooperation with Tim de Laat, Wilhelm Winter, Shirly Geffen, Samuel Evington and David Kerr) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [106232]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik II für Studierende der Physik [106236]
(in cooperation with Katharina Harengel)
- Lecture: Mathematik I für Studierende der Physik [104688]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114670]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Forschungsseminar: Quantenfeldtheorie [114669]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [104676]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Advanced seminar: Oberseminar C*-Algebren [104506]
(in cooperation with Wilhelm Winter, Tim de Laat, Shirly Geffen, Siegfried Echterhoff, Wend Werner and David Kerr) - Practice: Übungen zur Mathematik I für Studierende der Physik [104689]
(in cooperation with Finn Jost)
- Seminar: Forschungsseminar: Quantenfeldtheorie [112532]
(in cooperation with Kai Schmitz, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112531]
(in cooperation with Anna Kulesza, Christian Klein-Bösing, Anton Andronic, Kai Schmitz, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [102201]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Advanced seminar: Oberseminar C*-Algebren [102257]
(in cooperation with Tim de Laat, Wilhelm Winter, Siegfried Echterhoff, Shirly Geffen, Wend Werner and David Kerr)
- Lecture: Mathematik III für Studierende der Physik [100238]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110643]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Field theory and stochastic analysis [100246]
(in cooperation with Hendrik Weber) - Seminar: Forschungsseminar: Quantenfeldtheorie [110642]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Bachelorseminar: Kettenbruchentwicklung und verzweigte Überlagerungen [100247]
- Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [100235]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik III für Studierende der Physik [100239]
(in cooperation with Finn Jost)
- Lecture: Mathematik II für Studierende der Physik [108229]
- Lecture: Einführung in die Allgemeine Relativitätstheorie und Kosmologie [118665]
(in cooperation with Jochen Heitger) - Seminar: Forschungsseminar: Quantenfeldtheorie [118652]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118668]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [108243]
(in cooperation with Lutz Hille, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik II für Studierende der Physik [108230]
(in cooperation with Finn Jost) - Alle: Oberseminar C*-Algebren [109998]
(in cooperation with Tim de Laat, Wilhelm Winter, Siegfried Echterhoff, Wend Werner and David Kerr) - Alle: kleines seminar [108253]
(in cooperation with David Kerr, Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik I für Studierende der Physik [106204]
- Seminar: Forschungsseminar: Quantenfeldtheorie [116428]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116455]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [106260]
(in cooperation with Lutz Hille, Michael Weiss, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik I für Studierende der Physik [106205]
(in cooperation with Johannes Branahl) - Alle: Oberseminar C*-Algebren [106251]
(in cooperation with Wilhelm Winter, Tim de Laat, Siegfried Echterhoff, Wend Werner and David Kerr)
- Lecture: Einführung in die Allgemeine Relativitätstheorie und Kosmologie [114294]
(in cooperation with Jochen Heitger) - Seminar: Forschungsseminar: Quantenfeldtheorie [114302]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114303]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [104177]
(in cooperation with Lutz Hille, Michael Weiss, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik II für Studierende der Physik [104257]
(in cooperation with Wend Werner) - Alle: Oberseminar C*-Algebren [104252]
(in cooperation with David Kerr, Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker III [102268]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112302]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112303]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar Geometry, Algebra and Topology: "Moduli spaces of complex curves" [102294]
(in cooperation with Johannes Ebert, Lutz Hille, Michael Weiss, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik für Physiker III [102269]
(in cooperation with Johannes Branahl) - Alle: Oberseminar C*-Algebren [102263]
(in cooperation with Joachim Cuntz, Wilhelm Winter, Tim de Laat, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker II [100236]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110293]
(in cooperation with Christian Klein-Bösing, Anton Andronic, Alexander Kappes, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen and Jochen Heitger) - Seminar: Forschungsseminar: Quantenfeldtheorie [110295]
(in cooperation with Karol Kovarik, Michael Klasen and Jochen Heitger) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [100237]
(in cooperation with Johannes Branahl) - Alle: Oberseminar C*-Algebren [100262]
(in cooperation with Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker I [108244]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118283]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [118284]
(in cooperation with Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Advanced seminar: Oberseminar Riemann surfaces and topological recursion [108270]
(in cooperation with Sarah Scherotzke, Lutz Hille, Helmut Hamm and Jörg Schürmann) - Practice: Übungen zur Mathematik für Physiker I [108245]
(in cooperation with Alexander Hock) - Alle: Oberseminar C*-Algebren [108726]
(in cooperation with Joachim Cuntz, Wilhelm Winter, Tim de Laat, Siegfried Echterhoff and Wend Werner)
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116285]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [116293]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Alle: Oberseminar C*-Algebren [106901]
(in cooperation with Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker III [104206]
- Seminar: Topological recursion, noncomutative geometry and condensed matter physics [104220]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114284]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [114285]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Practice: Übungen zur Mathematik für Physiker III [104207]
- Alle: Oberseminar C*-Algebren [104265]
(in cooperation with Joachim Cuntz, Wilhelm Winter, Tim de Laat, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker II [102205]
- Seminar: Noncommutative geometry and condensed matter physics [102279]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112297]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [112292]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [102206]
(in cooperation with Alexander Hock) - Alle: Oberseminar C*-Algebren [102253]
(in cooperation with Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker I [100203]
- Seminar: Forschungsseminar: Quantenfeldtheorie [110282]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [110280]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Advanced seminar: Oberseminar C*-Algebren [100265]
(in cooperation with Joachim Cuntz, Wilhelm Winter, Tim de Laat, Siegfried Echterhoff and Wend Werner) - Practice: Übungen zur Mathematik für Physiker I [100204]
(in cooperation with Alexander Hock)
- Lecture: Funktionentheorie [108232]
- Lecture: Einführung in die Allgemeine Relativitätstheorie und Kosmologie (Vorlesung) [118303]
(in cooperation with Anna Kulesza) - Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [118288]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [118289]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Practice: Übungen zur Vorlesung "Funktionentheorie" [108233]
- Alle: Oberseminar C*-Algebren [108176]
(in cooperation with Joachim Cuntz, Tim de Laat, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker III [106007]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [116318]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [116317]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Advanced seminar: Oberseminar C*-Algebren [106051]
(in cooperation with Joachim Cuntz, Walther Paravicini, Wilhelm Winter, Siegfried Echterhoff and Wend Werner) - Practice: Übungen zur Mathematik für Physiker III [106008]
(in cooperation with Thomas Timmermann)
- Lecture: Einführung in die Allgemeine Relativitätstheorie und Kosmologie (Vorlesung) [114338]
(in cooperation with Gernot Münster) - Lecture: Mathematik für Physiker II [104000]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [114316]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [114317]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [104001]
(in cooperation with Thomas Timmermann) - Alle: Oberseminar C*-Algebren [104040]
(in cooperation with Joachim Cuntz, Walther Paravicini, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematik für Physiker I [102011]
- Seminar: Colloquium of the Research Training Group "Strong and Weak Interactions - from Hadrons to Dark Matter" [112344]
(in cooperation with Christian Klein-Bösing, Raimund Vogl, Dieter Frekers, Alfons Khoukaz, Gernot Münster, Christian Weinheimer, Karol Kovarik, Michael Klasen, Jochen Heitger, Johannes Wessels, Volker Hannen and Anna Kulesza) - Seminar: Forschungsseminar: Quantenfeldtheorie [112343]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Seminar: Seminar "Modelle für zweidimensionale Quantenfeldtheorien" [102013]
- Practice: Übungen zur Mathematik für Physiker I [102012]
- Alle: Oberseminar C*-Algebren [102451]
(in cooperation with Joachim Cuntz, Walther Paravicini, Wilhelm Winter, Siegfried Echterhoff and Wend Werner)
- Lecture: Mathematische Modelle der Statistischen Physik und Quantenfeldtheorie [100095]
- Seminar: Forschungsseminar: Quantenfeldtheorie [111710]
(in cooperation with Gernot Münster, Karol Kovarik, Michael Klasen, Jochen Heitger and Anna Kulesza) - Advanced seminar: Oberseminar C*-Algebren [102561]
(in cooperation with Walther Paravicini, Wilhelm Winter, Wend Werner, Thomas Timmermann, Joachim Cuntz and Siegfried Echterhoff) - Practice: Übungen zur Vorlesung Mathematische Modelle der Statistischen Physik und Quantenfeldtheorie [100100]
- Lecture: Mathematik für Physiker III [100078]
- Seminar: Forschungsseminar: Quantenfeldtheorie [111784]
(in cooperation with Anna Kulesza, Gernot Münster, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar C*-Algebren [102032]
(in cooperation with Walther Paravicini, Wilhelm Winter, Thomas Timmermann, Siegfried Echterhoff, Wend Werner and Joachim Cuntz) - Practice: Übungen zur Mathematik für Physiker III [100082]
(in cooperation with Ingo Ullisch)
- Lecture: Mathematik für Physiker II [101434]
- Seminar: Forschungsseminar: Quantenfeldtheorie [111924]
(in cooperation with Anna Kulesza, Gernot Münster, Michael Klasen and Jochen Heitger) - Seminar: Yang-Baxter-Gleichungen
(in cooperation with Thomas Timmermann) - Seminar: Seminar über Zufallsmatrizen [102560]
(in cooperation with Matthias Löwe and Kristina Schubert) - Advanced seminar: Oberseminar C*-Algebren [101620]
(in cooperation with Walther Paravicini, Wilhelm Winter, Wend Werner, Thomas Timmermann, Joachim Cuntz and Siegfried Echterhoff) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [101449]
(in cooperation with Ingo Ullisch)
- Lecture: Mathematik für Physiker I [101417]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112038]
(in cooperation with Anna Kulesza, Gernot Münster, Michael Klasen and Jochen Heitger) - Seminar: Yang-Baxter-Gleichungen [101436]
(in cooperation with Thomas Timmermann) - Advanced seminar: Oberseminar C*-Algebren [101622]
(in cooperation with Walther Paravicini, Wilhelm Winter, Wend Werner, Thomas Timmermann, Joachim Cuntz, Xin Li and Siegfried Echterhoff) - Practice: Übungen zur Mathematik für Physiker I [101421]
- Seminar: Forschungsseminar: Quantenfeldtheorie [111960]
(in cooperation with Anna Kulesza, Gernot Münster, Michael Klasen and Jochen Heitger) - Advanced seminar: Oberseminar C*-Algebren [103841]
(in cooperation with Walther Paravicini, Wilhelm Winter, Wend Werner, Thomas Timmermann, Joachim Cuntz, Xin Li and Siegfried Echterhoff)
- Lecture: Mathematik für Physiker III [100878]
- Seminar: Forschungsseminar: Quantenfeldtheorie [111943]
(in cooperation with Anna Kulesza, Gernot Münster, Michael Klasen and Jochen Heitger) - Seminar: Integraltransformationen [102593]
- Advanced seminar: Oberseminar C*-Algebren [100423]
(in cooperation with Wilhelm Winter, Wend Werner, Thomas Timmermann, Christian Voigt, Joachim Cuntz, Xin Li and Siegfried Echterhoff) - Practice: Übungen zur Mathematik für Physiker III [100882]
(in cooperation with Thomas Timmermann)
- Lecture: Mathematik für Physiker II [100286]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112013]
(in cooperation with Anna Kulesza, Gernot Münster, Jochen Heitger and Michael Klasen) - Seminar: Algebraische Quantenfeldtheorie [100271]
(in cooperation with Christian Voigt) - Advanced seminar: Oberseminar C*-Algebren [100415]
(in cooperation with Wilhelm Winter, Wend Werner, Thomas Timmermann, Christian Voigt, Joachim Cuntz, Xin Li and Siegfried Echterhoff) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [100290]
(in cooperation with Thomas Timmermann)
- Lecture: Mathematik für Physiker I [100254]
- Seminar: Konforme Feldtheorie [100273]
(in cooperation with Christian Voigt) - Seminar: Forschungsseminar: Quantenfeldtheorie [112000]
(in cooperation with Gernot Münster, Jochen Heitger and Michael Klasen) - Advanced seminar: Oberseminar C*-Algebren [100417]
(in cooperation with Wilhelm Winter, Wend Werner, Christian Voigt, Joachim Cuntz, Xin Li and Siegfried Echterhoff) - Practice: Übungen zur Mathematik für Physiker I [100269]
(in cooperation with Thomas Timmermann)
- Lecture: Einführung in die Funktionalanalysis [100212]
- Seminar: Mathematische Strukturen der Quantenmechanik [100231]
(in cooperation with Wend Werner) - Seminar: Forschungsseminar: Quantenfeldtheorie [111952]
(in cooperation with Gernot Münster, Jochen Heitger and Michael Klasen) - Advanced seminar: Oberseminar C*-Algebren [100428]
(in cooperation with Wend Werner, Christian Voigt, Joachim Cuntz and Siegfried Echterhoff) - Practice: Übungen zur Einführung in die Funktionalanalysis [200227]
(in cooperation with Thomas Timmermann)
- Lecture: Mathematik für Physiker III [100233]
- Seminar: von Neumann Algebren [100252]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112510]
(in cooperation with Federico Farchioni, Gernot Münster and Jochen Heitger) - Advanced seminar: Oberseminar C*-Algebren [100420]
(in cooperation with Christian Voigt, Joachim Cuntz, Siegfried Echterhoff and Wend Werner) - Practice: Übungen zur Mathematik für Physiker III [100248]
(in cooperation with Thomas Timmermann)
- Lecture: Mathematik für Physiker II [100301]
- Seminar: Forschungsseminar: Quantenfeldtheorie [112187]
(in cooperation with Federico Farchioni, Gernot Münster and Jochen Heitger) - Advanced seminar: Oberseminar C*-Algebren [100464]
(in cooperation with Christian Voigt, Joachim Cuntz, Siegfried Echterhoff and Wend Werner) - Practice: Übungen zur Einführung in die Funktionalanalysis [100227]
(in cooperation with Thomas Timmermann) - Practice: Übungen zur Vorlesung Mathematik für Physiker II [100316]
- Colloquium: Seminar des Graduiertenkollegs [103304]
(in cooperation with Wolfgang Lück, Falko Lorenz, Joachim Lohkamp, Helmut Hamm, Christopher Deninger, Burkhard Wilking, Linus Kramer, Juergen Elstrodt, Joachim Cuntz, Arthur Bartels, Ludwig Bröcker, Siegfried Echterhoff, Peter Schneider and Siegfried Bosch)
Projects
Selection
- EXC 2044 - B3: Operator algebras & mathematical physics ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/1 - CRC 1442: Geometry: Deformation and Rigidity - D03: Integrability ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich | Project Number: SFB 1442/1, D03 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ()
Main DFG-Project Hosted at University of Münster: DFG - Graduiertenkolleg | Project Number: GRK 2149/1 - CRC 878 C04 - Mathematical aspects of QFT and condensed matter ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich - CRC 478 E04 - Noncommutative geometry and quantisation of physical interactions ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich | Project Number: INST 211/389-1:3
Complete List
- EXC 2044 - T02: Moduli spaces in arithmetic and geometry ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/2, T2 - EXC 2044 - T07: Field theory and randomness ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/2, T7 - CRC 1442 - D03: Integrability ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich | Project Number: SFB 1442/2, D03 - EXC 2044 - B3: Operator algebras & mathematical physics ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/1 - EXC 2044 - C1: Evolution and asymptotics ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/1 - EXC 2044 - C3: Interacting particle systems and phase transitions ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Exzellenzcluster | Project Number: EXC 2044/1 - Virasoro algebra, integrable systems, Fock spaces und quantum algebra ()
Individual Granted Project: DFG - Aufbau internationaler Kooperationen | Project Number: WU 592/2-1 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ()
Main DFG-Project Hosted at University of Münster: DFG - Graduiertenkolleg | Project Number: GRK 2149/2 - CRC 1442: Geometry: Deformation and Rigidity - D03: Integrability ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich | Project Number: SFB 1442/1, D03 - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ()
Main DFG-Project Hosted at University of Münster: DFG - Graduiertenkolleg | Project Number: GRK 2149/1 - CRC 878 C04 - Mathematical aspects of QFT and condensed matter ()
Subproject in DFG-Joint Project Hosted at University of Münster: DFG - Sonderforschungsbereich - Noncommutative Geometry – EU-NCG ()
EU-Project Hosted outside University of Münster: EU 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 University of Münster: DFG - Sonderforschungsbereich | Project Number: INST 211/389-1:3
Publications
Selection
- Grosse H, Hock A, Wulkenhaar R. Solution of all quartic matrix models. Adv. Math.. ;481: Article 110551. doi: 10.1016/j.aim.2025.110551.
- Grosse H, Hock A, Wulkenhaar R. A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT. Commun. Math. Phys.. ;399: 481–517. doi: 10.1007/s00220-022-04557-w.
- Schürmann J, Wulkenhaar R. An algebraic approach to a quartic analogue of the Kontsevich model. Math. Proc. Cambridge Philos. Soc.. ;174(3): 471–495. doi: 10.1017/S0305004122000366.
- Branahl J, Hock A, Wulkenhaar R. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. Commun. Math. Phys.. ;393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
- Panzer E, Wulkenhaar R. Lambert-W solves the noncommutative ϕ4-model. Commun. Math. Phys.. ;374: 1935–1961. doi: 10.1007/s00220-019-03592-4.
- Wulkenhaar R. Quantum field theory on noncommutative spaces. in: Chamseddine A, Consani C, Higson N, Khalkhali M, Moscovici H, Yu G, eds. Advances in Noncommutative Geometry. Cham: Springer International Publishing; . pp. 607–690. doi: 10.1007/978-3-030-29597-4_11.
- Grosse H, Wulkenhaar R. Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Commun. Math. Phys.. ;329(3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
- Rivasseau V, Vignes-Tourneret F, Wulkenhaar R. Renormalisation of noncommutative ϕ4-theory by multi-scale analysis. Commun. Math. Phys.. ;262(3): 565–594. doi: 10.1007/s00220-005-1440-4.
- Grosse H, Wulkenhaar R. Power-counting theorem for non-local matrix models and renormalisation. Commun. Math. Phys.. ;254(1): 91–127. doi: 10.1007/s00220-004-1238-9.
- Grosse H, Wulkenhaar R. Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base. Commun. Math. Phys.. ;256(2): 305–374. doi: 10.1007/s00220-004-1285-2.
Complete List
- Grosse H, Kanomata N, Sako A, Wulkenhaar R. Relationship between a Φ^4 matrix model and harmonic oscillator systems. Lett. Math. Phys.. ;116: Article 18. doi: 10.1007/s11005-026-02049-9.
- Melong F, Wulkenhaar R. Generalized super-W_{1+∞}-n-algebra and Landau Problem. J. Math. Phys.. ;67: Article 023502. doi: 10.1063/5.0280439.
- Hock A, Shadrin S, Wulkenhaar R. Symmetry of meromorphic differentials produced by involution identity and relation to integer partitions [Internet]. arXiv [Preprint]. AIHPD. ;online first doi: 10.4171/AIHPD/231.
- Grosse H, Hock A, Wulkenhaar R. Solution of all quartic matrix models. Adv. Math.. ;481: Article 110551. doi: 10.1016/j.aim.2025.110551.
- Wulkenhaar R. Linear relations supplementing BKP for the Kontsevich matrix model with even potential [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2508.04245.
- Hock A, Wulkenhaar R. Blobbed topological recursion from extended loop equations. J. Geom. Phys.. ;212: Article 105457. doi: 10.1016/j.geomphys.2025.105457.
- Song C, Weber H, Wulkenhaar R. Stochastic quantization of λϕ^4_2-theory in 2-d Moyal space [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2502.02355.
- Melong F, Wulkenhaar R. Characterization of the W_{1+∞}-n-algebra and applications. Int. J. Mod. Phys. A. ;40(26): Article 2550103. doi: 10.1142/S0217751X25501039.
- Hock A, Wulkenhaar R, Dołega M(. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0. AIHPD. ;12: 545–619. doi: 10.4171/AIHPD/198.
- Borot G, Wulkenhaar R. A note on BKP for the Kontsevich matrix model with arbitrary potential. SIGMA. ;20: Article 050. doi: 10.3842/SIGMA.2024.050.
- Grosse H, Kanomata N, Sako A, Wulkenhaar R. Real symmetric Φ^4-matrix model as Calogero-Moser model. Lett. Math. Phys.. ;114: Article 25. doi: 10.1007/s11005-024-01772-5.
- Grosse H, Kanomata N, Sako A, Wulkenhaar R. Relationship between Φ^4-matrix model and N-body harmonic oscillator or Calogero-Moser model in: proceedings of the The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28), Prague. doi: 10.1088/1742-6596/2912/1/012014.
- Melong F, Wulkenhaar R. Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra. J. Math. Phys.. ;64(7): Article 073505. doi: 10.1063/5.0150975.
- Grosse H, Hock A, Wulkenhaar R. A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT. Commun. Math. Phys.. ;399: 481–517. doi: 10.1007/s00220-022-04557-w.
- Schürmann J, Wulkenhaar R. An algebraic approach to a quartic analogue of the Kontsevich model. Math. Proc. Cambridge Philos. Soc.. ;174(3): 471–495. doi: 10.1017/S0305004122000366.
- Branahl J, Grosse H, Hock A, Wulkenhaar R. From scalar fields on quantum spaces to blobbed topological recursion. J. Phys. A. ;55(42): Article 423001. doi: 10.1088/1751-8121/ac9260.
- Branahl J, Hock A, Wulkenhaar R. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. Commun. Math. Phys.. ;393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
- de Jong J, Hock A, Wulkenhaar R. Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. AIHPD. ;9(1): 47–72. doi: 10.4171/AIHPD/113.
- Kohl FB, Wulkenhaar R. Intersection theory of the complex quartic Kontsevich model [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2212.01359.
- Pascalie R, Pérez-Sánchez CI, Wulkenhaar R. Correlation functions of U(N)-tensor models and their Schwinger-Dyson equations. AIHPD. ;8(3): 377–458. doi: 10.4171/AIHPD/107.
- Branahl J, Hock A, Wulkenhaar R. Perturbative and geometric analysis of the quartic Kontsevich model. SIGMA. ;17: 085. doi: 10.3842/SIGMA.2021.085.
- Grosse H, Hock A, Wulkenhaar R. Solution of the self-dual \Phi^4 QFT-model on four-dimensional Moyal space. J. High Energ. Phys.. ;01: 081. doi: 10.1007/JHEP01(2020)081.
- Münster G, Wulkenhaar R. The Leutwyler-Smilga relation on the lattice. Mod. Phys. Lett. A. ;35(01): 1950346. doi: 10.1142/S0217732319503462.
- Panzer E, Wulkenhaar R. Lambert-W solves the noncommutative ϕ4-model. Commun. Math. Phys.. ;374: 1935–1961. doi: 10.1007/s00220-019-03592-4.
- de Jong J, Wulkenhaar R. Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling. J. Math. Phys.. ;60(8): Article 083504. doi: 10.1063/1.5063293.
- Pascalie R, Pérez-Sánchez CI, Tanasa A, Wulkenhaar R. On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory. J. Math. Phys.. ;60(7): Article 073502. doi: 10.1063/1.5080306.
- Wulkenhaar R. Quantum field theory on noncommutative spaces. in: Chamseddine A, Consani C, Higson N, Khalkhali M, Moscovici H, Yu G, eds. Advances in Noncommutative Geometry. Cham: Springer International Publishing; . pp. 607–690. doi: 10.1007/978-3-030-29597-4_11.
- Grosse H, Wulkenhaar R. Integrability and positivity in quantum field theory on noncommutative geometry. J. Geom. Phys.. ;134: 249–262. doi: 10.1016/j.geomphys.2018.08.001.
- Grosse H, Wulkenhaar R. How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Vietnam J. Math.. ;47: 93–112. doi: 10.1007/s10013-018-0302-2.
- Hock A, Wulkenhaar R. Noncommutative 3-colour scalar quantum field theory model in 2D. Eur. Phys. J. C. ;78: Article 580. doi: 10.1140/epjc/s10052-018-6042-3.
- Wulkenhaar R. Lambert-W solves the noncommutative \Phi^4-model in: proceedings of the Non-commutative Geometry, Index Theory and Mathematical Physics, Oberwolfach. pp. 1938–1941. (Oberwolfach Reports; Vol. 15). doi: 10.4171/OWR/2018/32.
- Grosse H, Sako A, Wulkenhaar R. 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 H, Sako A, Wulkenhaar R. 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 J, Wulkenhaar R. The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices [Internet]. arXiv.org [Preprint]. doi: 10.48550/arXiv.1701.07719.
- Wulkenhaar R. Reflection positivity in large-deformation limits of noncommutative field theories in: proceedings of the Reflection Positivity, Oberwolfach. pp. 3335–3338. (Oberwolfach Reports; Vol. 14). doi: 10.4171/OWR/2017/55.
- Wulkenhaar R. Integrability in a 4D QFT model in: proceedings of the Recent Mathematical Developments in Quantum Field Theory, Oberwolfach. pp. 2106–2108. (Oberwolfach Reports 13; Vol. 13). doi: 10.4171/OWR/2016/36.
- Grosse H, Wulkenhaar R. Construction of a quantum field theory in four dimensions. PoS - Proceedings of Science. ;224: Article 151. doi: 10.22323/1.224.0151.
- Grosse H, Wulkenhaar R. A solvable four-dimensional QFT. in: Finster F, Kleiner J, Röken C, Tolksdorf J, eds. Quantum Mathematical Physics - A Bridge between Mathematics and Physics. Cham Heidelberg New York Dordrecht London: Springer International Publishing; . pp. 153–180. doi: 10.1007/978-3-319-26902-3_8.
- Eckstein M, Sitarz A, Wulkenhaar R. The Moyal sphere. J. Math. Phys.. ;2016(57): Article 112301. doi: 10.1063/1.4965446.
- Grosse H, Wulkenhaar R. On the fixed point equation of a solvable 4D QFT model. Vietnam J. Math.. ;44: 153–180. doi: 10.1007/s10013-015-0174-7.
- Ousmane Samary D, Pérez-Sánchez CI, Vignes-Tourneret F, Wulkenhaar R. Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation. Class. Quant. Grav.. ;32(17): 175012. doi: 10.1088/0264-9381/32/17/175012.
- Grosse H, Wulkenhaar R. Towards a construction of a quantum field theory in four dimensions. in: Eckstein M, Heller M, Szybka S, eds. Mathematical Structures of the Universe. Kraków: Copernicus Center Press; . pp. 227–258.
- Grosse H, Wulkenhaar R. Noncommutative quantum field theory. Fortschr Phys. ;62(9-10): 797–811. doi: 10.1002/prop.201400020.
- Grosse H, Wulkenhaar R. Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.1406.7755.
- Grosse H, Wulkenhaar R. Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Commun. Math. Phys.. ;329(3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
- Grosse H, Wulkenhaar R. Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space. RIMS Kôkyûroku. ;2014(1904): 67–104.
- Gayral V, Wulkenhaar R. Spectral geometry of the Moyal plane with harmonic propagation. J. Noncommut. Geom.. ;7(4): 939–979. doi: 10.4171/JNCG/140.
- Grosse H, Wulkenhaar R. Construction and properties of noncommutative quantum fields in: Jensen A, ed. XVIIth International Congress on Mathematical Physics proceedings of the XVIIth International Congress on Mathematical Physics, Aalborg. Singapore: World Scientific Publishing pp. 643–650. doi: 10.1142/9789814449243_0066.
- Grosse H, Wulkenhaar R. Solvable limits of a 4D noncommutative QFT [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.1306.2816.
- Grosse H, Wulkenhaar R. Construction of a Noncommutative Quantum Field Theory. in: Holden H, Simon B, Teschl G, eds. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. Providence, RI: American Mathematical Society; . pp. 153–163. (Proceedings of Symposia in Pure Mathematics; Vol. 87). doi: 10.1090/pspum/087/01442.
- Spisso B, Wulkenhaar R. A numerical approach to harmonic non-commutative spectral field theory. Int. J. Mod. Phys. A. ;27(14): Article 1250075. doi: 10.1142/S0217751X12500753.
- Grosse H, Wulkenhaar R. Renormalization of a noncommutative field theory. Int. J. Mod. Phys. A. ;27(12): Article 1250067. doi: 10.1142/S0217751X12500674.
- Grosse H, Wulkenhaar R. 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. J. Geom. Phys.. ;62(7): 1583–1599. doi: 10.1016/j.geomphys.2012.03.005.
- Grosse H, Wulkenhaar R. Renormalization of a noncommutative field theory. IJMPCS. ;13: 108–117. doi: 10.1142/S2010194512006770.
- Grosse H, Wulkenhaar R. Renormalizable noncommutative quantum field theory. J. Phys. Conf. Ser.. ;343: Article 012043. doi: 10.1088/1742-6596/343/1/012043.
- Grosse H, Wulkenhaar R. Renormalisation of the Grosse-Wulkenhaar model. PoS - Proceedings of Science. ;QGQGS(2011): Article 011.
- Grosse H, Wulkenhaar R. Renormalizable noncommutative quantum field theory. Gen Relativ Gravit. ;43: 2491–2498. doi: 10.1007/s10714-010-1065-6.
- Wulkenhaar R. Quantum field theory on noncommutative geometries in: proceedings of the Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples, Oberwolfach. pp. 408–411. (Oberwolfach Reports; Vol. 7). doi: 10.4171/OWR/2010/09.
- Wulkenhaar R. Non-compact spectral triples with finite volume. in: Blanchard E, Ellwood D, Khalkhali M, Marcolli M, Moscovici H, Popa S, eds. Quanta of Maths. Providence, RI: American Mathematical Society; . pp. 617–648. (Clay Math. Proc.; Vol. 11).
- Wulkenhaar R. Progress in solving a noncommutative QFT in four dimensions in: proceedings of the Noncommutative Geometry, Oberwolfach. pp. 2318–2321. (Oberwolfach Reports; Vol. 6). doi: 10.4171/OWR/2009/41.
- Grosse H, Wulkenhaar R. Progress in solving a noncommutative quantum field theory in four dimensions [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.0909.1389.
- Marcillaud de Goursac A, Wallet J-C, Wulkenhaar R. On the vacuum states for non-commutative gauge theory. Eur. Phys. J. C. ;56(2): 293–304. doi: 10.1140/epjc/s10052-008-0652-0.
- Grosse H, Wulkenhaar R. Renormalization of noncommutative quantum field theory. in: Khalkhali M, Marcolli M, eds. An invitation to noncommutative geometry. Singapore: World Scientific Publishing; . pp. 129–168. doi: 10.1142/9789812814333_0002.
- Gayral V, Jureit J-H, Krajewski T, Wulkenhaar R. Quantum field theory on projective modules. J. Noncommut. Geom.. ;1(4): 431–496. doi: 10.4171/JNCG/13.
- Marcillaud de Goursac A, Wallet J-C, Wulkenhaar R. Noncommutative induced gauge theory. Eur. Phys. J. C. ;51(4): 977–987. doi: 10.1140/epjc/s10052-007-0335-2.
- Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. in: Fauser B, Tolksdorf J, Zeidler E, eds. Quantum Gravity - Mathematical Models and Experimental Bounds. Basel: Birkhäuser Verlag; . pp. 315–326. doi: 10.1007/978-3-7643-7978-0_16.
- Wulkenhaar R. The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory in: proceedings of the Noncommutative Geometry, Oberwolfach. pp. 2601–2603. (Oberwolfach Reports; Vol. 4). doi: 10.4171/OWR/2007/43.
- Wulkenhaar R. Renormalisation scalar quantum field theory on 4D-Moyal plane in: proceedings of the The Rigorous Renormalization Group, Oberwolfach. pp. 1037–1040. (Oberwolfach Reports; Vol. 3). doi: 10.4171/OWR/2006/17.
- Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. Fortschr Phys. ;54(2-3): 116–123. doi: 10.1002/prop.200510260.
- Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. Bulg. J. Phys.. ;33(s1): 215–225.
- Rivasseau V, Vignes-Tourneret F, Wulkenhaar R. Renormalisation of noncommutative ϕ4-theory by multi-scale analysis. Commun. Math. Phys.. ;262(3): 565–594. doi: 10.1007/s00220-005-1440-4.
- Wulkenhaar R. Field theories on deformed spaces. J. Geom. Phys.. ;56(1): 108–141. doi: 10.1016/j.geomphys.2005.04.019.
- Grosse H, Wulkenhaar R. Power-counting theorem for non-local matrix models and renormalisation. Commun. Math. Phys.. ;254(1): 91–127. doi: 10.1007/s00220-004-1238-9.
- Wulkenhaar R. Euclidean quantum field theory on commutative and noncommutative spaces. in: Ocampo H, Paycha S, Vargas A, eds. Geometric and Topological Methods for Quantum Field Theory. Berlin: Springer VDI Verlag; . pp. 59–100. (Lecture Notes in Physics; Vol. 668). doi: 10.1007/11374060_2.
- Grosse H, Wulkenhaar R. Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base. Commun. Math. Phys.. ;256(2): 305–374. doi: 10.1007/s00220-004-1285-2.
- Grosse H, Wulkenhaar R. Renormalisation of scalar quantum field theory on noncommutative R^4. Fortschr Phys. ;53(5-6): 634–639. doi: 10.1002/prop.200410231.
- Grosse H, Wulkenhaar R. Renormalisation of \phi^4-theory on non-commutative R^4 to all orders. Lett. Math. Phys.. ;71(1): 13–26. doi: 10.1007/s11005-004-5116-3.
- Grosse H, Wulkenhaar R. Renormalisation of noncommutative scalar field theories. in: Doebner H-D, Dobrev VK, eds. Lie Theory and its Applications in Physics V. World Scientific Publishing; . pp. 109–123. doi: 10.1142/9789812702562_0006.
- Grosse H, Wulkenhaar R. Renormalisation of noncommutative quantum field theories. Czechoslovak J. Phys.. ;54(11): 1305–1311. doi: 10.1007/s10582-004-9793-z.
- Grosse H, 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, Grimstrup JM, Popp L, Putz V, Schweda M, Grosse H, Wulkenhaar R. Noncommutative U(1) super-Yang-Mills theory: perturbative self-energy corrections. Int. J. Mod. Phys. A. ;19(25): 4231–4249. doi: 10.1142/S0217751X04018221.
- Grimstrup JM, Grosse H, Popp L, Putz V, Schweda M, Wickenhauser M, Wulkenhaar R. IR singularities in noncommutative perturbative dynamics? EPL. ;67(2): 186–190. doi: 10.1209/epl/i2003-10285-9.
- Grosse H, Wulkenhaar R. The \beta-function in duality-covariant non-commutative \phi^4-theory. Eur. Phys. J. C. ;35(2): 277–282. doi: 10.1140/epjc/s2004-01853-x.
- Wulkenhaar R. Renormalisation of noncommutative \phi^4-theory to all orders in: proceedings of the Nichtkommutative Geometrie, Oberwolfach. pp. 2411–2413. (Oberwolfach Reports; Vol. 1). doi: 10.4171/OWR/2004/45.
- Grosse H, Wulkenhaar R. Renormalisation group approach to noncommutative quantum field theory. in: Trampetic J, Wess J, eds. Particle Physics and the Universe. Springer VDI Verlag; . pp. 197–208. (Springer Proceedings in Physics; Vol. 98). doi: 10.1007/3-540-26798-0_19.
- Grosse H, Wulkenhaar R. Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base. J. High Energ. Phys.. ;03(12): 019. doi: 10.1088/1126-6708/2003/12/019.
- Putz V, Wulkenhaar R. Seiberg-Witten map for noncommutative super Yang-Mills theory. Int. J. Mod. Phys. A. ;18(19): 3325–3334. doi: 10.1142/S0217751X03015246.
- Bozkaya H, Fischer P, Grosse H, Pitschmann M, Putz V, Schweda M, Wulkenhaar R. Space/time non-commutative field theories and causality. Eur. Phys. J. C. ;29(1): 133–141. doi: 10.1140/epjc/s2003-01210-9.
- Grosse H, Wulkenhaar R. Regularisation and renormalisation of quantum field theories on noncommutative spaces in: Dragovich B, Sazdovic B, eds. Modern Mathematical Physics proceedings of the 2nd Summer School, Kopaonik, Yugoslavia. Belgrade Institute of Physics pp. 29–46.
- Martinetti P, Wulkenhaar R. Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry. J. Math. Phys.. ;43(1): 182–204. doi: 10.1063/1.1418012.
- Wulkenhaar R. Introduction to Hopf algebras in renormalization and noncommutative geometry. in: Scheck F, Upmeier H, Werner W, eds. Noncommutative geometry and the standard model of elementary particle physics. Berlin: Springer VDI Verlag; . pp. 313–324. (Lecture Notes in Physics; Vol. 596). doi: 10.1007/3-540-46082-9_17.
- Grimstrup JM, Wulkenhaar R. Quantisation of \theta-expanded non-commutative QED. Eur. Phys. J. C. ;26(1): 139–151. doi: 10.1140/epjc/s2002-01038-9.
- Gerhold A, Grimstrup J, Grosse H, Popp L, Schweda M, 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, Wulkenhaar R. Noncommutative spin-1/2 representations. Eur. Phys. J. C. ;24(3): 491–494. doi: 10.1007/s10052-002-0938-6.
- Bichl AA, Grimstrup JM, Popp L, Schweda M, Wulkenhaar R. Perturbative analysis of the Seiberg-Witten map. Int. J. Mod. Phys. A. ;17(16): 2219–2231. doi: 10.1142/S0217751X02010649.
- Wulkenhaar R. Non-renormalizability of \theta-expanded non-commutative QED. J. High Energ. Phys.. ;02(03): 024. doi: 10.1088/1126-6708/2002/03/024.
- Bichl AA, Grimstrup JM, Grosse H, Kraus E, Popp L, Schweda M, Wulkenhaar R. 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; .
- Bichl AA, Grimstrup JM, Popp L, Schweda M, Grosse H, Wulkenhaar R. Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map. J. High Energ. Phys.. ;01(06): 013. doi: 10.1088/1126-6708/2001/06/013.
- Bichl AA, Grimstrup JM, Popp L, Schweda M, Wulkenhaar R. Deformed QED via Seiberg-Witten map; .
- Krajewski T, Wulkenhaar R. Perturbative quantum gauge fields on the noncommutative torus. Int. J. Mod. Phys. A. ;15(7): 1011–1029. doi: 10.1142/S0217751X00000495.
- Wulkenhaar R. Slavnov-Taylor identity in noncommutative geometry. Int. J. Mod. Phys. B. ;14(22-23): 2503–2509. doi: 10.1142/S0217979200002053.
- Bichl AA, Grimstrup JM, Popp L, Schweda M, Grosse H, Wulkenhaar R. The superfield formalism applied to the non-commutative Wess-Zumino model. J. High Energ. Phys.. ;00(10): 046. doi: 10.1088/1126-6708/2000/10/046.
- Grosse H, Krajewski T, Wulkenhaar R. Renormalization of noncommutative Yang-Mills theories: A simple example; .
- Krajewski T, Wulkenhaar R. On Kreimer's Hopf algebra structure of Feynman graphs. Eur. Phys. J. C. ;7(4): 697–708. doi: 10.1007/s100520050439.
- Wulkenhaar R. SO(10)-unification in noncommutative geometry revisited. Int. J. Mod. Phys. A. ;14(4): 559–588. doi: 10.1142/S0217751X99000282.
- Wulkenhaar R. Gauge theories with graded differential Lie algebras. J. Math. Phys.. ;40(2): 787–794. doi: 10.1063/1.532685.
- Wulkenhaar R. On Feynman graphs as elements of a Hopf algebra. in: Kastler D, Rosso M, Schücker T, eds. Quantum Groups, Noncommutative Geometry and Fundamental Physical Interactions. Nova Science Publishers; . pp. 233–242. (Horizons in World Physics; Vol. 226).
- 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. Int. J. Mod. Phys. A. ;13(15): 2627–2692. doi: 10.1142/S0217751X98001359.
- Wulkenhaar R. Graded differential Lie algebras and model building. J. Geom. Phys.. ;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: Doebner H-D, Dobrev VK, Hilgert J, eds. Lie Theory and its Applications in Physics II. World Scientific Publishing; . pp. 310–321. doi: 10.1142/3852.
- Wulkenhaar R. Noncommutative geometry with graded differential Lie algebras. J. Math. Phys.. ;38(6): 3358–3390. doi: 10.1063/1.532048.
- Wulkenhaar R. The standard model within non-associative geometry. Phys. Lett. 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: Doebner H-D, Nattermann P, Scherer W, Schulte C, eds. GROUP 21. World Scientific Publishing; . pp. 597–601. doi: 10.1142/3473.
- Wulkenhaar R. Gyros as geometry of the standard model; .
- Matthes R, Rudolph G, Wulkenhaar R. Graded Lie algebras with derivation and model building. in: Doebner H-D, Dobrev VK, Hilgert J, eds. Lie Theory and its Applications in Physics. World Scientific Publishing; . pp. 149–158. doi: 10.1142/3301.
- Matthes R, Rudolph G, Wulkenhaar R. On certain graded Lie algebras arising in noncommutative geometry. Acta Phys. Polon. B. ;27(10): 2755–2762.
- Matthes R, Rudolph G, Wulkenhaar R. On the structure of a differential algebra used by Connes and Lott. Rep. Math. Phys.. ;38(1): 45–66. doi: 10.1016/0034-4877(96)87677-4.
- Matthes R, Rudolph G, Wulkenhaar R. On a certain construction of graded Lie algebras with derivation. J. Geom. Phys.. ;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. J. Math. Phys.. ;37(8): 3797–3814. doi: 10.1063/1.531602.
Supervised Doctoral Studies
- Lindner, Jakob (): Topological recursion and integrability [working title]
- Harengel, Katharina (): Combinatorial Relations from the BKP Integrable Hierarchy for Kontsevich-Type Matrix Models
& the Combinatorial Structure of Correlation Functions in the Quartic Kontsevich Model
- Reviewers
- Wulkenhaar, Raimar
- Schürmann, Jörg
- 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
- Supervisors
- Schmitz, Kai
- Reviewers
- Wulkenhaar, Raimar
- Schürmann, Jörg
- Branahl, Johannes (): The Recursive Structure of the Quartic Kontsevich Model
- Reviewers
- Wulkenhaar, Raimar
- Schürmann, Jörg
- Pascalie, Romain (): Random tensors and the Sachdev-Ye-Kitaev model
- Supervisors
- Tanasa, Adrian
- Hock, Alexander (): Matrix Field Theory
- Gerber, Henning (): Non-perturbative investigations of light bound states of N=1 supersymmetric Yang-Mills theory
- Further Supervisor
- Münster, Gernot
- 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
- Supervisors
- Wallet, Jean-Christophe
- Schmidt, René (): Arithmetic gravity and Yang-Mills theory: An approach to adelic physics via algebraic spaces
Talks
- Wulkenhaar; Raimar : “Stochastic quantisation of scalar QFT on noncommutative spaces”. Spectral and Geometry, Kraków, .
- Wulkenhaar; Raimar : “Stochastic quantisation of scalar QFT on noncommutative spaces”. Applications of non-commutative geometry to gauge theories, field theories, and quantum space-time, Marseille, .
- 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