Science Explorer Interactive view Map
Research facility · Bonn · Germany

Max Planck Institute for Mathematics

In research, Max Planck Institute for Mathematics stands highest in Mathematics (#97 of 1,053 worldwide), Physical Sciences (#2,244 of 12,888 worldwide) and Geometry and Topology (#24 of 56 worldwide), 2022–2025. Relative to its size it is most specialised in Algebra and Number Theory, Geometry and Topology and Mathematical Physics — Algebra and Number Theory is 141.2× its share of world research.

mpim-bonn.mpg.deROR OpenAlex
World rank, 2022–2025
#3,995
of 28,054 · #2,080 all time
Rank in Germany
#188
of 1,178
Research works
2.6k
▲ 21% vs 2013–17
Citations
51k
19.1 per fractional work
Top-10% rate
16.3%
record average 16.5%
Open access
61%
world 28%

What is Max Planck Institute for Mathematics known for in research?

The fields where it stands highest, 2022–2025, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
MathematicsField #97 of 1,053 17.1%223 #44
Physical SciencesDomain #2,244 of 12,888 15.9%328 #1371
Geometry and TopologySubfield #24 of 56 16.8%81 #27

Each strip is that field’s whole ranked pool, with the notch where Max Planck Institute for Mathematics sits in it, in the colour of the band that rank falls in. The track under the rate is the rate itself: it carries no world mark, because the world rate differs by field (from about 6% to 21% in this record).

Which of those standings moved

The same fields on both windows: where it stood over the whole record, and where it stands in 2022–2025. The distance is the story, and it is the one thing the two rank columns above cannot show.

  1. Mathematics#44 #97
  2. Physical Sciences#1,371 #2,244
  3. Geometry and Topology#27 #24
all time2022–2025, better2022–2025, worse

A dot further right is a better standing. Fields it was not ranked in over the whole record are left out.

What does Max Planck Institute for Mathematics specialise in?

Where its research is concentrated relative to its size: Algebra and Number Theory takes 141.2× the share of its output that it takes of world research.

  1. Algebra and Number TheorySubfield · 32.1 works141×
  2. Geometry and TopologySubfield · 81.4 works141×
  3. Mathematical PhysicsSubfield · 59.8 works106×
  4. MathematicsField · 223.1 works53×
  5. Applied MathematicsSubfield · 26.1 works26×
← less than its size predicts1×more →

Location quotient, a volume reading rather than an impact one. It surfaces small, lopsided specialities.

Field profile

Location quotient across every field it publishes in: outside the ring is more than an institution of this size would be expected to publish, inside it is less.

Agricultural and Biological Sciences: 0.01× its world share, 0 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.42× its world share, 8 worksBiochemistry, Geneti…Immunology and Microbiology: 0.03× its world share, 0 worksImmunology and Micro…Neuroscience: 0.31× its world share, 2 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.13× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.12× its world share, 0 worksChemical EngineeringChemistry: 0.48× its world share, 3 worksChemistryComputer Science: 1.99× its world share, 55 worksComputer ScienceEarth and Planetary Sciences: 0.10× its world share, 0 worksEarth and Planetary …Engineering: 0.22× its world share, 12 worksEngineeringEnvironmental Science: 0.07× its world share, 1 worksEnvironmental ScienceMaterials Science: 0.12× its world share, 2 worksMaterials ScienceMathematics: 53.42× its world share, 223 worksMathematicsPhysics and Astronomy: 4.07× its world share, 32 worksPhysics and AstronomyHealth Professions: 0.06× its world share, 1 worksHealth ProfessionsMedicine: 0.05× its world share, 4 worksMedicineArts and Humanities: 0.26× its world share, 3 worksArts and HumanitiesBusiness, Management and Accounting: 0.03× its world share, 0 worksBusiness, Management…Decision Sciences: 0.43× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 0.30× its world share, 2 worksEconomics, Econometr…Psychology: 0.10× its world share, 1 worksPsychologySocial Sciences: 0.10× its world share, 4 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 53.4×. Every wedge is a field page.

Who are the top researchers at Max Planck Institute for Mathematics?

Ranked on the composite score, Don Zagier, Friedrich Hirzebruch and Yu. I. Manin lead among researchers whose main affiliation is Max Planck Institute for Mathematics.

  1. 1 Don Zagier Germany · #32,692 worldwide 437 citations · 57 works
  2. 2 Friedrich Hirzebruch Germany · #41,079 worldwide 249 citations · 49 works
  3. 3 Yu. I. Manin Germany · #262,777 worldwide 151 citations · 53 works
  4. 4 Герд Фалтингс Germany · #422,681 worldwide 75 citations · 24 works
  5. 5 Branislav Jurčo Germany · #457,103 worldwide 99 citations · 32 works
  6. 6 Peter Teichner Germany · #524,495 worldwide 111 citations · 24 works
  7. 7 Teimuraz Pirashvili Germany · #573,726 worldwide 88 citations · 28 works
  8. 8 Alexander Reznikov Germany · #602,419 worldwide 46 citations · 21 works
  9. 9 Pieter Moree Germany · #787,338 worldwide 108 citations · 51 works
  10. 10 Valery Gritsenko Germany · #1,009,793 worldwide 34 citations · 16 works
All ranked researchers at Max Planck Institute for Mathematics

Which keywords describe research at Max Planck Institute for Mathematics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Symplectic Geometry, Modular Forms, Cohomology, K-Theory, Quantum Groups, L-Functions, Tropical Geometry and Deformation Quantization.

▲ more of its work than of the world’s◆ about the world’s share▼ less than the world’s

Size is fractional works in 2022–2025 in the topics tagged with each word; colour is the word's share of this institution's work against its share of the world's. The 40 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Symplectic Geometry46▲ 361×2 topics
  2. Modular Forms32▲ 240×3 topics
  3. Cohomology32▲ 208×2 topics
  4. K-Theory28▲ 326×2 topics
  5. Quantum Groups28▲ 222×2 topics
  6. L-Functions28▲ 272×2 topics
  7. Tropical Geometry26▲ 231×2 topics
  8. Deformation Quantization26▲ 441×1 topic
  9. Poisson Manifolds26▲ 441×1 topic
  10. Cluster Algebras25▲ 260×1 topic
  11. Triangulated Categories25▲ 260×1 topic
  12. Representation Theory24▲ 216×2 topics
  13. Gromov-Witten Theory21▲ 294×1 topic
  14. Moduli Theory21▲ 294×1 topic
  15. Automorphic Forms18▲ 286×1 topic
  16. Langlands Conjectures18▲ 286×1 topic
  17. Knot Invariants16▲ 300×1 topic
  18. Symplectic Topology16▲ 300×1 topic
  19. Number Theory15▲ 175×3 topics
  20. Deformations14▲ 153×1 topic
  21. Hom-Lie Algebras14▲ 153×1 topic
  22. Entanglement13▲ 24×4 topics
  23. Optimal Transport12▲ 154×1 topic
  24. Ricci Curvature12▲ 154×1 topic
  25. Random Matrix Theory11▲ 102×3 topics
  26. Quantum Information10▲ 25×3 topics
  27. Nonlinear Equations10▲ 21×6 topics
  28. Primes10▲ 248×1 topic
  29. Riemann Zeta Function10▲ 248×1 topic
  30. Cryptography9▲ 22×3 topics
  31. Stability9▲ 11×3 topics
  32. Kähler Metrics8▲ 181×1 topic
  33. Scalar Curvature8▲ 181×1 topic
  34. Combinatorics8▲ 182×1 topic
  35. Permutations8▲ 182×1 topic
  36. Complex Networks8▲ 38×2 topics
  37. Data Analysis8▲ 7.9×3 topics
  38. Persistent Homology7▲ 178×1 topic
  39. Topological Methods7▲ 178×1 topic
  40. Ergodic Theory7▲ 66×2 topics

Which research topics does Max Planck Institute for Mathematics publish most on?

By volume in 2022–2025: Homotopy and Cohomology in Algebraic Topology, Algebraic structures and combinatorial models, Algebraic Geometry and Number Theory and Advanced Algebra and Geometry.

Homotopy and Cohomology in Algebraic Topology: 26 fractional worksAlgebraic structures and combinatorial models: 25 fractional worksAlgebraic Geometry and N…21Algebraic Geometry and Number Theory: 21 fractional worksAdvanced Algebra and Geo…18Advanced Algebra and Geometry: 18 fractional worksGeometric and Algebraic Topology: 16 fractional worksAdvanced Topics in Algebra: 14 fractional worksGeometric Analysis and C…12Geometric Analysis and Curvature Flows: 12 fractional worksAnalytic Number Theory Research: 10 fractional worksGeometry and complex manifolds: 8 fractional worksAdvanced Combinatorial Mathematics: 8 fractional works
Mathematical PhysicsGeometry and TopologyAlgebra and Number TheoryApplied Mathematics1 others

Area is fractional works; colour is the subfield each topic belongs to.

  1. 1 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 26 works
  2. 2 Algebraic structures and combinatorial models Geometry and Topology 25 works
  3. 3 Algebraic Geometry and Number Theory Geometry and Topology 21 works
  4. 4 Advanced Algebra and Geometry Mathematical Physics 18 works
  5. 5 Geometric and Algebraic Topology Geometry and Topology 16 works
  6. 6 Advanced Topics in Algebra Algebra and Number Theory 14 works
  7. 7 Geometric Analysis and Curvature Flows Applied Mathematics 12 works
  8. 8 Analytic Number Theory Research Algebra and Number Theory 10 works
  9. 9 Geometry and complex manifolds Geometry and Topology 8 works
  10. 10 Advanced Combinatorial Mathematics Discrete Mathematics and Combinatorics 8 works

How open and international is its research?

Against the world’s own shares — the tick on each track. Both are shares of its output, so they sit on one scale and can be read against each other as well as against the world.

openly available60.8%not open39.2%

World: 28% of research is openly available.

with international co-authors37.4%domestic only62.6%

World: 19% is written across borders.

How has Max Planck Institute for Mathematics's research output changed?

Output in 2018–2022 was 21% higher than in 2013–2017.

1990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Other research institutions in Bonn

All research institutions in Bonn

Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners are in the interactive view on the map.