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Research facility · Bristol · United Kingdom

Heilbronn Institute for Mathematical Research

heilbronn.ac.ukROR OpenAlex
Research works
104
▼ 31% vs 2013–17
Citations
960
9.3 per fractional work
Top-10% rate
10.2%
record average 16.5%
Open access
74%
world 28%

Not ranked overall: Heilbronn Institute for Mathematical Research is under the volume floor below which an excellence rate is noise. Not ranked is not the same as ranked last.

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.

Biochemistry, Genetics and Molecular Biology: 0.28× its world share, 0 worksBiochemistry, Geneti…Chemistry: 0.22× its world share, 0 worksChemistryComputer Science: 3.60× its world share, 7 worksComputer ScienceEngineering: 0.15× its world share, 0 worksEngineeringMaterials Science: 0.19× its world share, 0 worksMaterials ScienceMathematics: 52.50× its world share, 15 worksMathematicsPhysics and Astronomy: 1.71× its world share, 1 worksPhysics and AstronomyBusiness, Management and Accounting: 0.14× its world share, 0 worksBusiness, Management…Economics, Econometrics and Finance: 0.47× its world share, 0 worksEconomics, Econometr…Social Sciences: 0.02× its world share, 0 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 52.5×. Every wedge is a field page.

Who are the top researchers at Heilbronn Institute for Mathematical Research?

Ranked on the composite score, Tom Johnston lead among researchers whose main affiliation is Heilbronn Institute for Mathematical Research.

  1. 1 Tom Johnston United Kingdom · #1,406,057 worldwide 20 citations · 29 works
All ranked researchers at Heilbronn Institute for Mathematical Research

Which keywords describe research at Heilbronn Institute for Mathematical Research?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Modular Forms, L-Functions, Symplectic Geometry, Tropical Geometry, Number Theory, Representation Theory, Random Matrix Theory and Approximation Algorithms.

▲ 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 25 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 25 words, with their numbers
  1. Modular Forms3▲ 332×3 topics
  2. L-Functions3▲ 404×2 topics
  3. Symplectic Geometry2▲ 279×2 topics
  4. Number Theory2▲ 349×2 topics
  5. Representation Theory2▲ 255×2 topics
  6. Tropical Geometry2▲ 255×2 topics
  7. Approximation Algorithms2▲ 110×4 topics
  8. Random Matrix Theory2▲ 257×2 topics
  9. Gromov-Witten Theory2▲ 343×1 topic
  10. Moduli Theory2▲ 343×1 topic
  11. Primes2▲ 657×1 topic
  12. Riemann Zeta Function2▲ 657×1 topic
  13. Algorithmic Applications2▲ 174×2 topics
  14. K-Theory1▲ 231×2 topics
  15. Knot Invariants1▲ 371×1 topic
  16. Symplectic Topology1▲ 371×1 topic
  17. Cohomology1▲ 121×2 topics
  18. Graph Limits1▲ 552×1 topic
  19. Graph Theory1▲ 50×1 topic
  20. Parameterized Complexity1▲ 252×1 topic
  21. Szemerédi's Theorem1▲ 552×1 topic
  22. Cryptography1▲ 38×3 topics
  23. Automorphic Forms1▲ 250×1 topic
  24. Langlands Conjectures1▲ 250×1 topic
  25. Quantum Groups1▲ 127×2 topics

Which research topics does Heilbronn Institute for Mathematical Research publish most on?

By volume in 2022–2025: Algebraic Geometry and Number Theory, Analytic Number Theory Research, Geometric and Algebraic Topology and Limits and Structures in Graph Theory.

Algebraic Geometry and N…2Algebraic Geometry and Number Theory: 2 fractional worksAnalytic Number Theory R…2Analytic Number Theory Research: 2 fractional worksGeometric and Algebraic …1Geometric and Algebraic Topology: 1 fractional worksLimits and Structures in…1Limits and Structures in Graph Theory: 1 fractional worksAdvanced Graph Theory Research: 1 fractional worksAdvanced Algebra and Geometry: 1 fractional worksGraph Labeling and Dimen…1Graph Labeling and Dimension Problems: 1 fractional worksFinite Group Theory Research: 1 fractional worksAdvanced Topology and Set Theory: 1 fractional workssemigroups and automata …1semigroups and automata theory: 1 fractional works
Geometry and TopologyAlgebra and Number TheoryDiscrete Mathematics and CombinatoricsComputational Theory and Mathematics1 others

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

  1. 1 Algebraic Geometry and Number Theory Geometry and Topology 2 works
  2. 2 Analytic Number Theory Research Algebra and Number Theory 2 works
  3. 3 Geometric and Algebraic Topology Geometry and Topology 1 works
  4. 4 Limits and Structures in Graph Theory Discrete Mathematics and Combinatorics 1 works
  5. 5 Advanced Graph Theory Research Computational Theory and Mathematics 1 works
  6. 6 Advanced Algebra and Geometry Mathematical Physics 1 works
  7. 7 Graph Labeling and Dimension Problems Computational Theory and Mathematics 1 works
  8. 8 Finite Group Theory Research Discrete Mathematics and Combinatorics 1 works
  9. 9 Advanced Topology and Set Theory Geometry and Topology 1 works
  10. 10 semigroups and automata theory Computational Theory and Mathematics 1 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 available74.2%not open25.8%

World: 28% of research is openly available.

with international co-authors34.7%domestic only65.3%

World: 19% is written across borders.

How has Heilbronn Institute for Mathematical Research's research output changed?

Output in 2018–2022 was 31% lower than in 2013–2017.

201020152020
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 Bristol

All research institutions in Bristol

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.