Publications
- . . ‘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.
- . . ‘Real symmetric Φ^4-matrix model as Calogero-Moser model.’ Letters in Mathematical Physics 114: 25. doi: 10.1007/s11005-024-01772-5.
- . . ‘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. [accepted / in Press (not yet published)]
- . . ‘QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization.’ Journal of Mathematical Physics 65: 032302. doi: 10.1063/5.0158724.
- . . Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory arXiv. [submitted / under review]
- . . New Fixed Points from Melonic Interactions arXiv.org. 1st Ed. . doi: https://doi.org/10.48550/arXiv.2406.01368. [submitted / under review]
- . . ‘Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra.’ Journal of Mathematical Physics 64, No. 7: 073505. doi: 10.1063/5.0150975.
- . . ‘Mean-Field Phase Transitions in TGFT Quantum Gravity.’ Physical Review Letters 130: 141501. doi: 10.1103/PhysRevLett.130.141501.
- . . Blobbed topological recursion from extended loop equations arXiv. doi: 10.48550/arXiv.2301.04068. [submitted / under review]
- . . ‘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.
- . . ‘Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models.’ Journal of High Energy Physics (JHEP) 02: 074. doi: 10.1007/JHEP02(2023)074.
- . . ‘Curvature effects in the spectral dimension of spin foams.’ Physical Review D (PRD) 108: 066011. doi: 10.1103/PhysRevD.108.066011.
- . . ‘An algebraic approach to a quartic analogue of the Kontsevich model.’ Mathematical Proceedings 174, No. 3: 471–495. doi: 10.1017/S0305004122000366.
- . . ‘From scalar fields on quantum spaces to blobbed topological recursion.’ Journal of Physics A: Mathematical and Theoretical 55, No. 42: 423001. doi: 10.1088/1751-8121/ac9260.
- . . ‘One-matrix differential reformulation of two-matrix models.’ Reviews in Mathematical Physics 34, No. 08: 2250026. doi: 10.1142/S0129055X2250026X.
- . . ‘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.
- . . ‘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, No. 1: 47–72. doi: 10.4171/AIHPD/113.
- . . Intersection theory of the complex quartic Kontsevich model arXiv. doi: 10.48550/arXiv.2212.01359. [submitted / under review]
- . . ‘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, No. 3: 377–458. doi: 10.4171/AIHPD/107.
- . . ‘Perturbative and geometric analysis of the quartic Kontsevich model.’ Symmetry, Integrability and Geometry: Methods and Applications 17: 085. doi: 10.3842/SIGMA.2021.085.
- . . ‘(No) phase transition in tensorial group field theory.’ Physics Letters B 816: 136215. doi: 10.1016/j.physletb.2021.136215.
- . . ‘Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme.’ Symmetry, Integrability and Geometry: Methods and Applications 17: 094. doi: 10.3842/SIGMA.2021.094.
- . . ‘Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs.’ Math. Phys. Anal. Geom. 24, No. 2: 19. doi: 10.1007/s11040-021-09390-6.
- . . ‘Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom.’ JHEP 12 (2021): 201. doi: 10.1007/JHEP12(2021)201.
- . . ‘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.
- . . ‘The Leutwyler-Smilga relation on the lattice.’ Modern Physics Letters A 35, No. 01: 1950346. doi: 10.1142/S0217732319503462.
- . ‘Functional renormalization group in TGFT - the cyclic-melonic potential approximation.’ contributed to the Quantum Spacetime and the Renormalization Group 2020, Odense, Dänemark, .
- . . ‘Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O(N) models.’ JHEP 12 (2020): 159. doi: 10.1007/JHEP12(2020)159.
- . . Matrix Field Theory Dissertation thesis, Universität Münster. [submitted / under review]
- . . ‘Lambert-W solves the noncommutative \Phi^4-model.’ Communications in Mathematical Physics 374: 1935–1961. doi: 10.1007/s00220-019-03592-4.
- . . ‘Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling.’ Journal of Mathematical Physics 60, No. 8: 083504. doi: 10.1063/1.5063293.
- . . ‘On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory.’ Journal of Mathematical Physics 60, No. 7: 073502. doi: 10.1063/1.5080306.
- . . Solution of all quartic matrix models arXiv. doi: 10.48550/arXiv.1906.04600. [submitted / under review]
- . . ‘Quantum field theory on noncommutative spaces.’ In Advances in Noncommutative Geometry, edited by , 607–690. Cham: Springer International Publishing. doi: 10.1007/978-3-030-29597-4_11.
- . . ‘Multi-critical behaviour of 4-dimensional tensor models up to order 6.’ Nuclear Physics B 941: 600–635. doi: 10.1016/j.nuclphysb.2019.02.026.
- . . „Ansätze zur Quantengravitation - fundamentale Physik am Rande des Begriffs der Naturwissenschaft.“ Briefe zur Interdisziplinarität 23: 26–36.
- . . ‘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.
- . . ‘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.
- . . ‘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.
- . . ‘The full Ward-Takahashi Identity for colored tensor models.’ Communications in Mathematical Physics 358, No. 2: 589–632. doi: 10.1007/s00220-018-3103-2.
- . . ‘Phase transitions in group field theory: The Landau perspective.’ Physical Review D - Particles, Fields, Gravitation, and Cosmology 98: 126006. doi: 10.1103/PhysRevD.98.126006.
- . . ‘Lambert-W solves the noncommutative \Phi^4-model.’ Contributed to the Non-commutative Geometry, Index Theory and Mathematical Physics, Oberwolfach. doi: 10.4171/OWR/2018/32.
- . . ‘Emergence of Spacetime in a restricted Spin-foam model.’ Physical Review D - Particles, Fields, Gravitation, and Cosmology 98: 026013. doi: 10.1103/PhysRevD.98.026013.
- . . ‘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.
- . . ‘Exact solution of matricial \Phi^3_2 quantum field theory.’ Nuclear Physics B 925: 319–347. doi: 10.1016/j.nuclphysb.2017.10.010.
- . . ‘Surgery in colored tensor models.’ Journal of Geometry and Physics 120: 262–289. doi: 10.1016/j.geomphys.2017.06.009.
- . . The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices arXiv.org. doi: 10.48550/arXiv.1701.07719. [submitted / under review]
- . . ‘Reflection positivity in large-deformation limits of noncommutative field theories.’ Contributed to the Reflection Positivity, Oberwolfach. doi: 10.4171/OWR/2017/55.
- . . ‘Integrability in a 4D QFT model.’ Contributed to the Recent Mathematical Developments in Quantum Field Theory, Oberwolfach. doi: 10.4171/OWR/2016/36.
- . . ‘Construction of a quantum field theory in four dimensions.’ PoS - Proceedings of Science 224: 151. doi: 10.22323/1.224.0151.
- . . ‘Thermal Equilibrium States for Quantum Fields on Non-commutative Spacetimes.’ In Quantum Mathematical Physics , edited by . Basel: Birkhäuser Verlag. doi: 10.1007/978-3-319-26902-3. [online first]
- . . ‘A solvable four-dimensional QFT.’ In Quantum Mathematical Physics - A Bridge between Mathematics and Physics, edited by , 153–180. Cham Heidelberg New York Dordrecht London: Springer International Publishing. doi: 10.1007/978-3-319-26902-3_8.
- . . ‘The Moyal sphere.’ Journal of Mathematical Physics 2016, No. 57: 112301. doi: 10.1063/1.4965446.
- . . ‘Group field theories generating polyhedral complexes.’ PoS - Proceedings of Science FFP14: 177. doi: 10.22323/1.224.0177.
- . . ‘On the fixed point equation of a solvable 4D QFT model.’ Vietnam Journal of Mathematics 2016, No. 44: 153–180. doi: 10.1007/s10013-015-0174-7.
- . . ‘Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation.’ Classical and Quantum Gravity 32, No. 17: 175012. doi: 10.1088/0264-9381/32/17/175012.
- . . Discrete quantum geometries and their effective dimension Dissertation thesis, Humboldt Universität zu Berlin. doi: 10.18452/17309.
- . . ‘Fields and Laplacians on Quantum Geometries.’ In Proceedings, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG13): Stockholm, Sweden, July 1-7, 2012, 2168–2170. doi: 10.1142/9789814623995_0388.
- . . ‘Dimensional flow in discrete quantum geometries.’ Physical Review D - Particles, Fields, Gravitation, and Cosmology 91, No. 8: 084047. doi: 10.1103/PhysRevD.91.084047.
- . . ‘Group field theories for all loop quantum gravity.’ New Journal of Physics 17: 023042. doi: 10.1088/1367-2630/17/2/023042.
- . . ‘Towards a construction of a quantum field theory in four dimensions.’ In Mathematical Structures of the Universe, edited by , 227–258. Kraków: Copernicus Center Press.
- . . ‘Noncommutative quantum field theory.’ Fortschritte der Physik 62, No. 9-10: 797–811. doi: 10.1002/prop.201400020.
- . . Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity arXiv. doi: 10.48550/arXiv.1406.7755. [submitted / under review]
- . . ‘Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory.’ Communications in Mathematical Physics 329, No. 3: 1069–1130. doi: 10.1007/s00220-014-1906-3.
- . . ‘Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space.’ RIMS Kôkyûroku 2014, No. 1904: 67–104.
- . . ‘Spectral dimension of quantum geometries.’ Class. Quant. Grav. 31: 135014. doi: 10.1088/0264-9381/31/13/135014.
- . . ‘Spectral geometry of the Moyal plane with harmonic propagation.’ Journal of Noncommutative Geometry 7, No. 4: 939–979. doi: 10.4171/JNCG/140.
- . . ‘Construction and properties of noncommutative quantum fields.’ In XVIIth International Congress on Mathematical Physics, edited by , 643–650. Singapore: World Scientific Publishing. doi: 10.1142/9789814449243_0066.
- . . Solvable limits of a 4D noncommutative QFT arXiv. doi: 10.48550/arXiv.1306.2816. [submitted / under review]
- . . ‘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, edited by , 153–163. Providence, RI: American Mathematical Society. doi: 10.1090/pspum/087/01442.
- . . ‘Laplacians on discrete and quantum geometries.’ Class. Quant. Grav. 30: 125006. doi: 10.1088/0264-9381/30/12/125006.
- . . ‘A numerical approach to harmonic non-commutative spectral field theory.’ International Journal of Modern Physics A 27, No. 14: 1250075. doi: 10.1142/S0217751X12500753.
- . . ‘Renormalization of a noncommutative field theory.’ International Journal of Modern Physics A 27, No. 12: 1250067. doi: 10.1142/S0217751X12500674.
- . . ‘8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory.’ Journal of Geometry and Physics 62, No. 7: 1583–1599. doi: 10.1016/j.geomphys.2012.03.005.
- . . ‘Renormalization of a noncommutative field theory.’ International Journal of Modern Physics: Conference Series 13: 108–117. doi: 10.1142/S2010194512006770.
- . . ‘Renormalizable noncommutative quantum field theory.’ Journal of Physics: Conference Series 343: 012043. doi: 10.1088/1742-6596/343/1/012043.
- . . ‘Renormalisation of the Grosse-Wulkenhaar model.’ PoS - Proceedings of Science QGQGS, No. 2011: 011.
- . . ‘Renormalizable noncommutative quantum field theory.’ General Relativity and Gravitation 43: 2491–2498. doi: 10.1007/s10714-010-1065-6.
- . . ‘Quantum field theory on noncommutative geometries.’ Contributed to the Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples, Oberwolfach. doi: 10.4171/OWR/2010/09.
- . . ‘Non-compact spectral triples with finite volume.’ In Quanta of Maths, edited by , 617–648. Providence, RI: American Mathematical Society.
- . . ‘Progress in solving a noncommutative QFT in four dimensions.’ Contributed to the Noncommutative Geometry, Oberwolfach. doi: 10.4171/OWR/2009/41.
- . . Progress in solving a noncommutative quantum field theory in four dimensions arXiv. doi: 10.48550/arXiv.0909.1389. [submitted / under review]
- . . ‘On the vacuum states for non-commutative gauge theory.’ European Physical Journal C: Particles and Fields 56, No. 2: 293–304. doi: 10.1140/epjc/s10052-008-0652-0.
- . . ‘Renormalization of noncommutative quantum field theory.’ In An invitation to noncommutative geometry, edited by , 129–168. Singapore: World Scientific Publishing. doi: 10.1142/9789812814333_0002.
- . . ‘Quantum field theory on projective modules.’ Journal of Noncommutative Geometry 1, No. 4: 431–496. doi: 10.4171/JNCG/13.
- . . ‘Noncommutative induced gauge theory.’ European Physical Journal C: Particles and Fields 51, No. 4: 977–987. doi: 10.1140/epjc/s10052-007-0335-2.
- . . ‘Noncommutative QFT and renormalization.’ In Quantum Gravity - Mathematical Models and Experimental Bounds, edited by , 315–326. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-7643-7978-0_16.
- . . ‘The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory.’ Contributed to the Noncommutative Geometry, Oberwolfach. doi: 10.4171/OWR/2007/43.
- . . ‘Renormalisation scalar quantum field theory on 4D-Moyal plane.’ Contributed to the The Rigorous Renormalization Group, Oberwolfach. doi: 10.4171/OWR/2006/17.
- . . ‘Noncommutative QFT and renormalization.’ Fortschritte der Physik 54, No. 2-3: 116–123. doi: 10.1002/prop.200510260.
- . . ‘Noncommutative QFT and renormalization.’ Bulgarian Journal of Physics 33, No. s1: 215–225.
- . . ‘Renormalisation of noncommutative \phi^4-theory by multi-scale analysis.’ Communications in Mathematical Physics 262, No. 3: 565–594. doi: 10.1007/s00220-005-1440-4.