2026 Raimar Wulkenhaar: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2617	2334	161	145	132	6379

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2617

2334

161

145

132

6379

Overview

Raimar Wulkenhaar is affiliated with the University of Münster in Germany, contributing extensively to research at the intersection of mathematics and physics. Their work spans several domains within these fields, with a distinctive focus on topics such as algebraic structures and combinatorial models, nonlinear waves and solitons, as well as quantum gravity theories.

Their research areas include:

Mathematics
Physics and Astronomy

Specialized subfields explored in their work are:

Statistical and Nonlinear Physics
Mathematical Physics
Geometry and Topology
Algebra and Number Theory
Nuclear and High Energy Physics

Wulkenhaar's research topics cover a range of advanced and interconnected themes, including:

Algebraic structures and combinatorial models
Advanced Topics in Algebra
Black Holes and Theoretical Physics
Nonlinear Waves and Solitons
Noncommutative and Quantum Gravity Theories
Homotopy and Cohomology in Algebraic Topology
Matrix Theory and Algorithms

The scientist has produced numerous publications across well-known venues, with frequent appearances in:

arXiv (Cornell University)
Annales de l'Institut Henri Poincaré D Combinatorics Physics and their Interactions
Communications in Mathematical Physics
Symmetry Integrability and Geometry Methods and Applications
Advances in Mathematics

Notable recent papers include:

Blobbed Topological Recursion of the Quartic Kontsevich Model I: Loop Equations and Conjectures, 2022, Communications in Mathematical Physics
Solution of all quartic matrix models, 2025, Advances in Mathematics
Solution of the self-dual Φ4 QFT-model on four-dimensional Moyal space, 2020, Journal of High Energy Physics
From scalar fields on quantum spaces to blobbed topological recursion, 2022, Journal of Physics A Mathematical and Theoretical
Perturbative and Geometric Analysis of the Quartic Kontsevich Model, 2021, Symmetry Integrability and Geometry Methods and Applications

Their collaborative network includes frequent co-authors such as Alexander Hock, Harald Grosse, Johannes Branahl, Naoyuki Kanomata, and Fridolin Melong. These partnerships are reflected in several joint publications, contributing to the breadth and depth of research output.

Best Publications

Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base

Harald Grosse;Raimar Wulkenhaar

716
Citations
Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base

Harald Grosse;Raimar Wulkenhaar

703
Citations
Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base

Harald Grosse;Raimar Wulkenhaar

331
Citations
Power-Counting Theorem for Non-Local Matrix Models and Renormalisation

Harald Grosse;Raimar Wulkenhaar

269
Citations
The eta-function in duality-covariant noncommutative \phi^4-theory

Harald Grosse;Raimar Wulkenhaar

249
Citations
Renormalisation of phi4-theory on noncommutative Bbb R2 in the matrix base

Harald Grosse;Raimar Wulkenhaar

236
Citations
Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

Andreas Bichl;Jesper Grimstrup;Lukas Popp;Manfred Schweda

187
Citations
PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

Thomas Krajewski;Raimar Wulkenhaar

166
Citations
Renormalization of noncommutative phi 4-theory by multi-scale analysis

V. Rivasseau;F. Vignes-Tourneret;R. Wulkenhaar

164
Citations
The $eta$ -function in duality-covariant non-commutative $\phi^4$ -theory

Harald Grosse;Raimar Wulkenhaar

158
Citations
Renormalisation of Noncommutative ϕ 4 -Theory by Multi-Scale Analysis

Vincent Rivasseau;Fabien Vignes-Tourneret;Raimar Wulkenhaar

158
Citations
Self-Dual Noncommutative $${\phi^4}$$ -Theory in Four Dimensions is a Non-Perturbatively Solvable and Non-Trivial Quantum Field Theory

Harald Grosse;Raimar Wulkenhaar

153
Citations
Noncommutative Induced Gauge Theory

Axel de Goursac;Jean-Christophe Wallet;Raimar Wulkenhaar

147
Citations
Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

Andreas Bichl;Jesper Grimstrup;Harald Grosse;Lukas Popp

145
Citations
Non-Renormalizability of θ-expanded noncommutative QED

Raimar Wulkenhaar

143
Citations
Noncommutative Induced Gauge Theory

A. de Goursac;J.-C. Wallet;R. Wulkenhaar

143
Citations
Non-renormalizability of heta-expanded noncommutative QED

Raimar Wulkenhaar

135
Citations
Renormalisation of \phi^4-theory on noncommutative R^4 to all orders

Harald Grosse;Raimar Wulkenhaar

117
Citations
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory

Harald Grosse;Raimar Wulkenhaar

106
Citations
Renormalisation of ?4-Theory on Non-Commutative $mathbb{R}(4) $ to All Orders

Harald Grosse;Raimar Wulkenhaar

92
Citations

Frequent Co-Authors

Harald Grosse University of Vienna

Vincent Rivasseau University of Paris-Saclay

External Links

Personal website of Raimar Wulkenhaar

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