Dirk Kreimer

91 papers receiving 2.6k citations

Dirk Kreimer's Hit Papers

Hopf Algebras, Renormalization and Noncommutative Geometry 1998 · 381 citations
3810+9+18Years since publication100200300

Peers

Dirk Kreimer
Comparison fields: 5 of 65
  • Algebra and Number Theory 1.5k
  • Geometry and Topology 1.3k
  • Discrete Mathematics and Combinatorics 321
  • Mathematical Physics 810
  • Nuclear and High Energy Physics 1.0k
Replace A. B. Goncharov with:
A. B. Goncharov United States
Rahul Pandharipande United States
A. U. Klimyk Ukraine
Graeme Segal United Kingdom
A. A. Kirillov Russia
Maxim Kontsevich France
Giovanni Felder Switzerland
Igor Frenkel United States
Vladimir Drinfeld United States
Shahn Majid United Kingdom
Dirk Kreimer relative to A. B. Goncharov United States A. B. Goncharov's profile →
Citations per field
00.5×1.6×
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 94 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Hopf Algebras, Renormalization and Noncommutative Geometry
Hit paper breakdown →
1998381
2 1998206
3 2001166
4 1997161
5
Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem
2013134
6 1992121
7 199982
8 199773
9 199073
10
On motives associated to graph polynomials
201068
11 199964
12 200060
13 200156
14 199952
15 200551
16 200649
17 200144
18 201338
19 199638
20 199138

About Dirk Kreimer

Dirk Kreimer is a scholar working on Geometry and Topology, Algebra and Number Theory, Nuclear and High Energy Physics, Statistical and Nonlinear Physics and Mathematical Physics, having authored 94 papers that have together received 2.8k indexed citations. Recurring topics across this work include Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (37 papers), Black Holes and Theoretical Physics (34 papers), Noncommutative and Quantum Gravity Theories (21 papers), Quantum Mechanics and Applications (12 papers), Advanced Operator Algebra Research (11 papers), Advanced Algebra and Geometry (9 papers) and Cosmology and Gravitation Theories (8 papers). The work is most often cited by research in Algebra and Number Theory (1.5k citations), Geometry and Topology (1.3k citations), Discrete Mathematics and Combinatorics (321 citations), Mathematical Physics (810 citations) and Nuclear and High Energy Physics (1.0k citations). Dirk Kreimer has collaborated with scholars based in Germany, France and United States. Frequent co-authors include Alain Connes, David Broadhurst, Karen Yeats, Spencer Bloch, Karl Schilcher, Jürgen Körner, Kurusch Ebrahimi‐Fard, Eckehard W. Mielke, J. A. Gracey and D. J. Broadhurst. Their work appears in journals such as Physics Letters B, Letters in Mathematical Physics, The European Physical Journal C, 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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