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Max Planck Institute for Mathematics in the Sciences

In research, Max Planck Institute for Mathematics in the Sciences stands highest in Physical Sciences (#3,115 of 12,888 worldwide), Mathematics (#312 of 1,053 worldwide) and Computer Science (#2,228 of 4,667 worldwide), 2022–2025. Relative to its size it is most specialised in Geometry and Topology, Mathematics and Applied Mathematics — Geometry and Topology is 54.6× its share of world research.

mis.mpg.de/index.htmlROR OpenAlex
World rank, 2022–2025
#5,397
of 28,054 · #4,586 all time
Rank in Germany
#231
of 1,178
Research works
1.8k
▲ 7% vs 2013–17
Citations
34k
19.1 per fractional work
Top-10% rate
17.5%
record average 16.5%
Open access
49%
world 28%

What is Max Planck Institute for Mathematics in the Sciences 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
Physical SciencesDomain #3,115 of 12,888 16.9%218 #2961
MathematicsField #312 of 1,053 17.8%92 #512
Computer ScienceField #2,228 of 4,667 15.0%64 #2476

Each strip is that field’s whole ranked pool, with the notch where Max Planck Institute for Mathematics in the Sciences 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. Physical Sciences#2,961 #3,115
  2. Mathematics#512 #312
  3. Computer Science#2,476 #2,228
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 in the Sciences specialise in?

Where its research is concentrated relative to its size: Geometry and Topology takes 54.6× the share of its output that it takes of world research.

  1. Geometry and TopologySubfield · 22.8 works55×
  2. MathematicsField · 92.4 works31×
  3. Applied MathematicsSubfield · 21.5 works29×
← 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: 0.03× its world share, 0 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.85× its world share, 12 worksBiochemistry, Geneti…Immunology and Microbiology: 0.01× its world share, 0 worksImmunology and Micro…Neuroscience: 0.58× its world share, 2 worksNeuroscienceChemical Engineering: 0.17× its world share, 0 worksChemical EngineeringChemistry: 1.60× its world share, 6 worksChemistryComputer Science: 3.21× its world share, 64 worksComputer ScienceEarth and Planetary Sciences: 0.17× its world share, 1 worksEarth and Planetary …Engineering: 0.44× its world share, 17 worksEngineeringEnvironmental Science: 0.13× its world share, 2 worksEnvironmental ScienceMaterials Science: 0.35× its world share, 3 worksMaterials ScienceMathematics: 30.64× its world share, 92 worksMathematicsPhysics and Astronomy: 5.79× its world share, 33 worksPhysics and AstronomyHealth Professions: 0.08× its world share, 1 worksHealth ProfessionsMedicine: 0.07× its world share, 4 worksMedicineArts and Humanities: 0.54× its world share, 4 worksArts and HumanitiesBusiness, Management and Accounting: 0.09× its world share, 1 worksBusiness, Management…Decision Sciences: 1.22× its world share, 3 worksDecision SciencesEconomics, Econometrics and Finance: 0.72× its world share, 4 worksEconomics, Econometr…Psychology: 0.22× its world share, 2 worksPsychologySocial Sciences: 0.18× its world share, 6 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 30.6×. Every wedge is a field page.

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

Ranked on the composite score, Stefan Müller, Wolfgang Hackbusch and Boris N. Khoromskij lead among researchers whose main affiliation is Max Planck Institute for Mathematics in the Sciences.

  1. 1 Stefan Müller Germany · #78,627 worldwide 380 citations · 28 works
  2. 2 Wolfgang Hackbusch Germany · #80,096 worldwide 606 citations · 128 works
  3. 3 Boris N. Khoromskij Germany · #162,274 worldwide 228 citations · 42 works
  4. 4 Guofang Wang Germany · #275,947 worldwide 289 citations · 69 works
  5. 5 Guido Montúfar Germany · #400,562 worldwide 195 citations · 44 works
  6. 6 Félix Otto Germany · #691,018 worldwide 150 citations · 53 works
  7. 7 Jürgen Jost Germany · #762,311 worldwide 302 citations · 201 works
  8. 8 Guillermo Restrepo Germany · #792,735 worldwide 24 citations · 37 works
  9. 9 Eckehard Olbrich Germany · #1,015,156 worldwide 53 citations · 31 works
  10. 10 Sven Banisch Germany · #1,098,391 worldwide 53 citations · 26 works
All ranked researchers at Max Planck Institute for Mathematics in the Sciences

Which keywords describe research at Max Planck Institute for Mathematics in the Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Tropical Geometry, Entanglement, Symplectic Geometry, Quantum Information, Gröbner Bases, Symbolic Computing, Cryptography and Nonlinear Equations.

▲ 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. Machine Learning16▲ 1.94×27 topics
  2. Tropical Geometry14▲ 171×2 topics
  3. Entanglement14▲ 36×4 topics
  4. Symplectic Geometry11▲ 114×2 topics
  5. Quantum Information10▲ 35×3 topics
  6. Gröbner Bases9▲ 280×1 topic
  7. Symbolic Computing9▲ 280×1 topic
  8. Cryptography9▲ 27×3 topics
  9. Nonlinear Equations8▲ 26×6 topics
  10. Superconducting Circuits7▲ 43×2 topics
  11. Security7▲ 4.3×3 topics
  12. Complex Networks7▲ 47×2 topics
  13. Computation7▲ 38×2 topics
  14. Communication7▲ 8.5×2 topics
  15. Metrology7▲ 44×1 topic
  16. Quantum7▲ 32×1 topic
  17. Data Analysis6▲ 9.1×3 topics
  18. K-Theory6▲ 96×2 topics
  19. Optimal Transport6▲ 111×1 topic
  20. Ricci Curvature6▲ 111×1 topic
  21. Persistent Homology6▲ 201×1 topic
  22. Topological Methods6▲ 201×1 topic
  23. Bell Inequality6▲ 63×1 topic
  24. Cohomology6▲ 52×2 topics
  25. Decoherence6▲ 63×1 topic
  26. Deformation Quantization5▲ 127×1 topic
  27. Poisson Manifolds5▲ 127×1 topic
  28. Gromov-Witten Theory5▲ 104×1 topic
  29. Moduli Theory5▲ 104×1 topic
  30. Ergodic Theory5▲ 67×2 topics
  31. Mathematics Education5▲ 44×2 topics
  32. Quantum Gravity5▲ 24×4 topics
  33. Monte Carlo Simulation5▲ 9.5×4 topics
  34. Approximation Algorithms5▲ 26×5 topics
  35. Quantum Simulation5▲ 22×2 topics
  36. Dynamical Systems4▲ 26×3 topics
  37. String Theory4▲ 31×2 topics
  38. Porous Media4▲ 13×4 topics
  39. Quantum Algorithms4▲ 32×1 topic
  40. Quantum Computation4▲ 32×1 topic

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

By volume in 2022–2025: Polynomial and algebraic computation, Quantum Information and Cryptography, Geometric Analysis and Curvature Flows and Topological and Geometric Data Analysis.

Polynomial and algebraic…9Polynomial and algebraic computation: 9 fractional worksQuantum Information and …7Quantum Information and Cryptography: 7 fractional worksGeometric Analysis and Curvature Flows: 6 fractional worksTopological and Geometri…6Topological and Geometric Data Analysis: 6 fractional worksQuantum Mechanics and Ap…6Quantum Mechanics and Applications: 6 fractional worksHomotopy and Cohomology in Algebraic Topology: 5 fractional worksAlgebraic Geometry and Number Theory: 5 fractional worksQuantum Computing Algori…4Quantum Computing Algorithms and Architecture: 4 fractional worksHistory and advancements in chemistry: 4 fractional worksAdvanced Mathematical Modeling in Engineering: 4 fractional works
Computational Theory and MathematicsArtificial IntelligenceApplied MathematicsAtomic and Molecular Physics, and Optics3 others

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

  1. 1 Polynomial and algebraic computation Computational Theory and Mathematics 9 works
  2. 2 Quantum Information and Cryptography Artificial Intelligence 7 works
  3. 3 Geometric Analysis and Curvature Flows Applied Mathematics 6 works
  4. 4 Topological and Geometric Data Analysis Computational Theory and Mathematics 6 works
  5. 5 Quantum Mechanics and Applications Atomic and Molecular Physics, and Optics 6 works
  6. 6 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 5 works
  7. 7 Algebraic Geometry and Number Theory Geometry and Topology 5 works
  8. 8 Quantum Computing Algorithms and Architecture Artificial Intelligence 4 works
  9. 9 History and advancements in chemistry Physical and Theoretical Chemistry 4 works
  10. 10 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 4 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 available48.7%not open51.3%

World: 28% of research is openly available.

with international co-authors40.8%domestic only59.2%

World: 19% is written across borders.

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

Output in 2018–2022 was 7% 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 Leipzig

All research institutions in Leipzig

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.