Dirk Kreimer

5.2k total citations · 1 hit paper
77 papers, 2.1k citations indexed

About

Dirk Kreimer is a scholar working on Geometry and Topology, Nuclear and High Energy Physics and Algebra and Number Theory. According to data from OpenAlex, Dirk Kreimer has authored 77 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 33 papers in Nuclear and High Energy Physics and 31 papers in Algebra and Number Theory. Recurrent topics in Dirk Kreimer's work include Advanced Topics in Algebra (30 papers), Black Holes and Theoretical Physics (29 papers) and Algebraic structures and combinatorial models (26 papers). Dirk Kreimer is often cited by papers focused on Advanced Topics in Algebra (30 papers), Black Holes and Theoretical Physics (29 papers) and Algebraic structures and combinatorial models (26 papers). Dirk Kreimer collaborates with scholars based in Germany, France and United States. Dirk Kreimer's co-authors include Alain Connes, David Broadhurst, Karen Yeats, Karl Schilcher, Jürgen Körner, Eckehard W. Mielke, J. A. Gracey, Kurusch Ebrahimi‐Fard, D. J. Broadhurst and R. Delbourgo and has published in prestigious journals such as Nuclear Physics B, Physics Letters B and Computer Physics Communications.

In The Last Decade

Dirk Kreimer

74 papers receiving 1.9k citations

Hit Papers

Hopf Algebras, Renormalization and Noncommutative Geometry 1998 2026 2007 2016 1998 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Hopf Algebras, Renormalization and Noncommutative Geometry
    1998 335 citations Alain Connes, Dirk Kreimer Communications in Mathematical Physics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Dirk Kreimer Germany 23 1.0k 919 832 536 469 77 2.1k
A. B. Goncharov United States 20 694 0.7× 1.2k 1.4× 1.0k 1.2× 723 1.3× 476 1.0× 48 2.4k
Giovanni Felder Switzerland 26 776 0.7× 1.5k 1.6× 965 1.2× 988 1.8× 1.2k 2.5× 90 2.4k
Ronald C. King United Kingdom 19 530 0.5× 794 0.9× 363 0.4× 566 1.1× 337 0.7× 109 1.5k
A. A. Kirillov Russia 13 508 0.5× 766 0.8× 289 0.3× 916 1.7× 499 1.1× 47 1.7k
Boris Feigin Russia 32 1.6k 1.5× 2.6k 2.8× 851 1.0× 989 1.8× 1.4k 3.0× 134 2.9k
Maxim Kontsevich France 20 1.2k 1.1× 2.3k 2.5× 813 1.0× 2.1k 3.9× 1.0k 2.2× 44 3.3k
Vladimir G. Turaev Russia 18 547 0.5× 2.6k 2.8× 508 0.6× 2.0k 3.7× 535 1.1× 36 3.1k
Roberto Longo Italy 29 1.1k 1.1× 1.3k 1.4× 608 0.7× 1.7k 3.3× 687 1.5× 93 2.7k
S. N. M. Ruijsenaars Netherlands 22 395 0.4× 930 1.0× 419 0.5× 510 1.0× 1.3k 2.8× 79 2.1k
J. Harnad Canada 26 225 0.2× 600 0.7× 517 0.6× 362 0.7× 1.0k 2.2× 83 1.6k

Countries citing papers authored by Dirk Kreimer

Since Specialization
Citations

This map shows the geographic impact of Dirk Kreimer's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dirk Kreimer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dirk Kreimer more than expected).

Fields of papers citing papers by Dirk Kreimer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dirk Kreimer. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dirk Kreimer. The network helps show where Dirk Kreimer may publish in the future.

Co-authorship network of co-authors of Dirk Kreimer

This figure shows the co-authorship network connecting the top 25 collaborators of Dirk Kreimer. A scholar is included among the top collaborators of Dirk Kreimer based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dirk Kreimer. Dirk Kreimer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kreimer, Dirk. (2023). Bananas: multi-edge graphs and their Feynman integrals. Letters in Mathematical Physics. 113(2). 11 indexed citations
2.
Gracey, J. A., et al.. (2019). Self-consistency of off-shell Slavnov-Taylor identities in QCD. Physical review. D. 100(8). 11 indexed citations
3.
Tanasă, Adrian & Dirk Kreimer. (2013). Combinatorial Dyson–Schwinger equations in noncommutative field theory. Journal of Noncommutative Geometry. 7(1). 255–289. 9 indexed citations
4.
Kreimer, Dirk & Karen Yeats. (2013). Properties of the Corolla Polynomial of a 3-regular Graph. The Electronic Journal of Combinatorics. 20(1). 4 indexed citations
5.
Kreimer, Dirk & Francis Brown. (2013). Decomposing Feynman rules. 49–49.
6.
Kreimer, Dirk. (2010). Algebraic Structures in local QFT. Nuclear Physics B - Proceedings Supplements. 205-206. 122–128. 6 indexed citations
7.
Kreimer, Dirk, et al.. (2009). The QCD beta-function from global solutions to Dyson-Schwinger equations. arXiv (Cornell University). 16 indexed citations
8.
Ebrahimi‐Fard, Kurusch & Dirk Kreimer. (2005). The Hopf algebra approach to Feynman diagram calculations. Journal of Physics A Mathematical and General. 38(50). R385–R407. 22 indexed citations
9.
Ebrahimi‐Fard, Kurusch, et al.. (2004). ON THE INSERTION-ELIMINATION LIE ALGEBRA OF FEYNMAN GRAPHS. 124–134. 1 indexed citations
10.
Kreimer, Dirk. (2002). Unique factorization in perturbative QFT. 8 indexed citations
11.
Connes, Alain & Dirk Kreimer. (2001). Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group. Communications in Mathematical Physics. 216(1). 215–241. 138 indexed citations
12.
Connes, Alain & Dirk Kreimer. (2001). From Local Perturbation Theory to Hopf and Lie Algebras of Feynman Graphs. Letters in Mathematical Physics. 56(1). 3–15. 3 indexed citations
13.
Kreimer, Dirk. (2000). Shuffling Quantum Field Theory. Letters in Mathematical Physics. 51(3). 179–191. 7 indexed citations
14.
Kreimer, Dirk. (2000). Feynman diagrams and polylograithms: shuffles and pentagons. Nuclear Physics B - Proceedings Supplements. 89(1-3). 289–294. 1 indexed citations
15.
Broadhurst, David & Dirk Kreimer. (1999). Renormalization Automated by Hopf Algebra. Journal of Symbolic Computation. 27(6). 581–600. 28 indexed citations
16.
Kreckel, Richard, Dirk Kreimer, & Karl Schilcher. (1999). First results with a new method for calculating 2-loop box-functions. The European Physical Journal C. 6(4). 693–699. 3 indexed citations
17.
Kreimer, Dirk. (1999). On Overlapping Divergences. Communications in Mathematical Physics. 204(3). 669–689. 49 indexed citations
18.
Kreimer, Dirk. (1998). How Useful Can Knot and Number Theory be for Loop Calculations. Acta Physica Polonica B. 29(10). 2865. 2 indexed citations
19.
Kreimer, Dirk. (1997). The methods of XLOOPS An introduction to parallel space techniques. Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment. 389(1-2). 323–326. 3 indexed citations
20.
Nimtz, G., et al.. (1992). On wind-influenced sound propagation. Physica A Statistical Mechanics and its Applications. 189(3-4). 575–582. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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