Dirk Kreimer

6.4k citations
82 papers · 2.3k · 1 hit paper · h-index 24

Impact in

Papers in

Dirk Kreimer

80 papers receiving 2.2k citations

Dirk Kreimer's Hit Papers

Hopf Algebras, Renormalization and Noncommutative Geometry 1998 · 340 citations
3400+9+18Years since publication100200300

Peers

Dirk Kreimer
Comparison fields: 5 of 62
  • Algebra and Number Theory 1.2k
  • Geometry and Topology 1.1k
  • Discrete Mathematics and Combinatorics 277
  • Nuclear and High Energy Physics 901
  • Mathematical Physics 618
Replace A. B. Goncharov with:
A. B. Goncharov United States
Maxim Kontsevich France
Vladimir Drinfeld United States
Graeme Segal United Kingdom
Rahul Pandharipande United States
A. A. Kirillov Russia
Ronald C. King United Kingdom
S. N. M. Ruijsenaars Netherlands
Shahn Majid United Kingdom
Giovanni Felder Switzerland
Dirk Kreimer relative to A. B. Goncharov United States A. B. Goncharov's profile →
Citations per field
00.5×1.7×
A. B. Goncharov · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Dirk Kreimer, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Dirk Kreimer Line = papers co-authored together Dirk Kreimer links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 82 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Hopf Algebras, Renormalization and Noncommutative Geometry
Hit paper breakdown →
1998340
2 1998177
3 2001143
4 1997139
5
Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem
2013122
6 1992121
7 199072
8 199769
9
On motives associated to graph polynomials
201059
10 199957
11 200149
12 199948
13 200045
14 200644
15 200543
16 200143
17 199138
18 199634
19 199634
20 201332

About Dirk Kreimer

Dirk Kreimer is a scholar working on Geometry and Topology, Nuclear and High Energy Physics, Algebra and Number Theory, Statistical and Nonlinear Physics and Mathematical Physics, having authored 82 papers that have together received 2.3k indexed citations. Recurring topics across this work include Advanced Topics in Algebra (33 papers), Black Holes and Theoretical Physics (32 papers), Algebraic structures and combinatorial models (29 papers), Noncommutative and Quantum Gravity Theories (20 papers), Quantum Mechanics and Applications (10 papers), Particle physics theoretical and experimental studies (8 papers), Cosmology and Gravitation Theories (7 papers) and Advanced Operator Algebra Research (7 papers). The work is most often cited by research in Algebra and Number Theory (1.2k citations), Geometry and Topology (1.1k citations), Discrete Mathematics and Combinatorics (277 citations), Nuclear and High Energy Physics (901 citations) and Mathematical Physics (618 citations). Dirk Kreimer has collaborated with scholars based in Germany, France and United States. Frequent co-authors include Alain Connes, David Broadhurst, Karen Yeats, Karl Schilcher, Spencer Bloch, Jürgen Körner, Eckehard W. Mielke, J. A. Gracey, Kurusch Ebrahimi‐Fard and D. J. Broadhurst. Their work appears in journals such as Physics Letters B, The European Physical Journal C, Letters in Mathematical Physics, Communications in Mathematical Physics and Annals of Physics.

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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