Mathematics Research Center
In research, Mathematics Research Center stands highest in Physical Sciences (#5,367 of 10,670 worldwide), Computer Science (#2,703 of 4,417 worldwide) and Mathematics (#719 of 1,051 worldwide), 2022-now. Relative to its size it is most specialised in Mathematics (Mathematics is 16.9× its share of world research).
- World rank, 2022-now
- #8,722 of 22,385 · #8,001 all time
- Rank in Mexico
- #91 of 232
- Research works
- 1.8k ▼ 10% vs 2018-21
- Citations
- 22k 12.1 per fractional work
- Top-10% rate
- 5.3% all institutions 10.0%
- vs its own fields
- 0.89× 1.00× is exactly expected
- Open access
- 38% world 40%
- International
- 34% world 18%
What is Mathematics Research Center known for in research?
The fields where it stands highest, 2022-now, ranked among every institution above the floor in each field.
| Field | World rank | Where that sits | Top-10% rate | Works | All time |
|---|---|---|---|---|---|
| Physical SciencesDomain | #5,367 of 10,670 | 5.2% | 219 | #4855 | |
| Computer ScienceField | #2,703 of 4,417 | 7.6% | 70 | #2692 | |
| MathematicsField | #719 of 1,051 | 4.8% | 66 | #1031 |
Each strip is that field's whole ranked pool, with the notch where Mathematics Research Center 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 average mark, because the average differs by field (from about 6% in Dentistry to 21% in Economics).
Which of those standings moved
The same fields on both windows: where it stood over the whole record, and where it stands in 2022-now. The distance is the story, and it is the one thing the two rank columns above cannot show.
- Physical Sciences#4,855 #5,367
- Computer Science#2,692 #2,703
- Mathematics#1,031 #719
A dot further right is a better standing. Fields it was not ranked in over the whole record are left out.
Which fields of science does Mathematics Research Center work in?
In 2022-now, 68% of research at Mathematics Research Center is in Physical Sciences, 18% in Social Sciences. Its largest fields are Computer Science (22%), Mathematics (20%), Engineering (14%). It does 1.7× the world's share of Physical Sciences.
Each ring splits the one inside it: the four domains of science, their fields, their subfields. Size is fractional works in 2022-now. Every slice is a page; the interactive view zooms down to single topics and colours each by how much more of it this institution does than the world.
Its 4 domains and 24 fields, with their numbers
- Physical Sciences22968.1%
- Computer Science7522.4%
- Mathematics6719.8%
- Engineering4713.8%
- Physics and Astronomy133.8%
- Environmental Science133.8%
- Earth and Planetary Sciences82.4%
- Materials Science30.7%
- Energy20.7%
- Chemistry10.4%
- Chemical Engineering00.1%
- Social Sciences6017.7%
- Social Sciences185.3%
- Economics, Econometrics and Finance154.4%
- Decision Sciences123.5%
- Business, Management and Accounting72.1%
- Psychology72.1%
- Arts and Humanities10.4%
- Health Sciences309.0%
- Medicine247.0%
- Health Professions61.8%
- Nursing00.1%
- Life Sciences185.3%
What does Mathematics Research Center specialise in?
Where its research is concentrated relative to its size: Mathematics takes 16.9× the share of its output that it takes of world research.
- MathematicsField · 66.8 works17×
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.
Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 16.9×. Every wedge is a field page.
All 24 fields, with their numbers
- Mathematics16.86×67 works
- Decision Sciences3.63×12 works
- Computer Science2.88×75 works
- Economics, Econometrics and Finance2.06×15 works
- Physics and Astronomy1.72×13 works
- Earth and Planetary Sciences1.54×8 works
- Engineering0.92×47 works
- Energy0.76×2 works
- Environmental Science0.76×13 works
- Health Professions0.69×6 works
- Psychology0.68×7 works
- Business, Management and Accounting0.65×7 works
- Neuroscience0.54×3 works
- Biochemistry, Genetics and Molecular Biology0.44×8 works
- Social Sciences0.42×18 works
- Agricultural and Biological Sciences0.37×6 works
- Medicine0.37×24 works
- Chemical Engineering0.34×0 works
- Chemistry0.26×1 works
- Immunology and Microbiology0.25×1 works
- Materials Science0.21×2 works
- Nursing0.19×0 works
- Pharmacology, Toxicology and Pharmaceutics0.16×0 works
- Arts and Humanities0.13×1 works
- Mathematics 16.9×
- Decision Sciences 3.6×
- Computer Science 2.9×
- Economics, Econometrics and Finance 2.1×
- Physics and Astronomy 1.7×
- Earth and Planetary Sciences 1.5×
- Engineering 0.9×
- Energy 0.8×
- Environmental Science 0.8×
- Health Professions 0.7×
- Psychology 0.7×
- Business, Management and Accounting 0.7×
- Neuroscience 0.5×
- Biochemistry, Genetics and Molecular Biology 0.4×
- Social Sciences 0.4×
- Agricultural and Biological Sciences 0.4×
- Medicine 0.4×
- Chemical Engineering 0.3×
- Chemistry 0.3×
- Immunology and Microbiology 0.2×
- Materials Science 0.2×
- Nursing 0.2×
- Pharmacology, Toxicology and Pharmaceutics 0.2×
- Arts and Humanities 0.1×
Who are the top researchers at Mathematics Research Center?
Ranked on the quality score, Gonzalo Contreras, Jose Luis Marroquin and J. Andrés Christen lead among researchers whose main affiliation is Mathematics Research Center.
- 1
Gonzalo Contreras
Mexico · #533,429 worldwide 824 citations · 52 works
- 2
Jose Luis Marroquin
Mexico · #1,129,913 worldwide 6.3k citations · 144 works
- 3
J. Andrés Christen
Mexico · #1,300,653 worldwide 9.6k citations · 120 works
- 4
Rafael Murrieta-Cid
Mexico · #1,362,506 worldwide 1.9k citations · 125 works
- 5
Diego Mercado-Ravell
Mexico · #1,370,030 worldwide 696 citations · 30 works
- 6
José Luis Pérez
Mexico · #1,453,911 worldwide 3.5k citations · 193 works
- 7
Renato Iturriaga
Mexico · #1,833,793 worldwide 1k citations · 52 works
- 8
Víctor Muñiz-Sánchez
Mexico · #2,226,842 worldwide 263 citations · 20 works
- 9
Daniel P. Perales
Mexico · #2,430,257 worldwide 273 citations · 27 works
- 10
Iván Cruz-Aceves
Mexico · #2,460,805 worldwide 1.1k citations · 107 works
Which keywords describe research at Mathematics Research Center?
By fractional works in 2022-now, weighted toward what it does more of than the world: Deep Learning, Machine Learning, Cohomology, Monte Carlo Simulation, Symplectic Geometry, Tropical Geometry, Neural Networks and Evolutionary Algorithms.
- Langlands Conjectures
- Automorphic Forms
- Particle Swarm Optimization
- Moduli Theory
- Gromov-Witten Theory
- Holomorphic Functions
- Scaling Limits
- Hom-Lie Algebras
- Sparse Representation
- Collision Avoidance
- Stochastic Calculus
- Knot Invariants
- Inverse Problems
- Multi-Agent Systems
- Learning Outcomes
- Tropical Geometry
- Monte Carlo Simulation
- Convolutional Neural Networks
- Sustainability
- Machine Learning
- Deep Learning
- Neural Networks
- Cohomology
- Innovation
- Symplectic Geometry
- Evolutionary Algorithms
- Support Vector Machines
- Data Analysis
- Autonomous Vehicles
- Option Pricing
- Symplectic Topology
- Representation Theory
- Deformations
- Interacting Particle Systems
- Feature Selection
- K-Theory
- Metaheuristics
- Modular Forms
- Quantum Groups
- Dynamical Systems
Size is fractional works in 2022-now 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
- Deep Learning27▲ 2.4×48 topics
- Machine Learning20▲ 1.82×52 topics
- Neural Networks11▲ 2.1×27 topics
- Sustainability11▲ 1.34×27 topics
- Cohomology8▲ 60×2 topics
- Convolutional Neural Networks8▲ 3.0×12 topics
- Innovation7▲ 2.1×21 topics
- Monte Carlo Simulation7▲ 10.0×3 topics
- Symplectic Geometry7▲ 54×2 topics
- Tropical Geometry6▲ 54×2 topics
- Evolutionary Algorithms5▲ 15×5 topics
- Learning Outcomes5▲ 3.8×4 topics
- Support Vector Machines5▲ 4.9×7 topics
- Multi-Agent Systems5▲ 7.9×3 topics
- Data Analysis5▲ 5.7×5 topics
- Inverse Problems5▲ 13×4 topics
- Autonomous Vehicles5▲ 6.8×4 topics
- Knot Invariants4▲ 89×1 topic
- Option Pricing4▲ 57×1 topic
- Stochastic Calculus4▲ 57×1 topic
- Symplectic Topology4▲ 89×1 topic
- Collision Avoidance4▲ 7.1×2 topics
- Representation Theory4▲ 43×2 topics
- Sparse Representation4▲ 6.9×5 topics
- Deformations4▲ 55×1 topic
- Hom-Lie Algebras4▲ 55×1 topic
- Interacting Particle Systems4▲ 106×1 topic
- Scaling Limits4▲ 106×1 topic
- Feature Selection4▲ 5.8×5 topics
- Holomorphic Functions4▲ 47×2 topics
- K-Theory4▲ 47×2 topics
- Gromov-Witten Theory4▲ 59×1 topic
- Metaheuristics4▲ 14×5 topics
- Moduli Theory4▲ 59×1 topic
- Modular Forms4▲ 30×2 topics
- Particle Swarm Optimization4▲ 9.5×3 topics
- Quantum Groups4▲ 33×2 topics
- Automorphic Forms4▲ 66×1 topic
- Dynamical Systems4▲ 16×3 topics
- Langlands Conjectures4▲ 66×1 topic
Which research topics does Mathematics Research Center publish most on?
By volume in 2022-now: Stochastic processes and financial applications, Geometric and Algebraic Topology, Advanced Topics in Algebra and Stochastic processes and statistical mechanics.
Area is fractional works; colour is the subfield each topic belongs to.
- 1 Stochastic processes and financial applications Finance 4 works
- 2 Geometric and Algebraic Topology Geometry and Topology 4 works
- 3 Advanced Topics in Algebra Algebra and Number Theory 4 works
- 4 Stochastic processes and statistical mechanics Mathematical Physics 4 works
- 5 Algebraic Geometry and Number Theory Geometry and Topology 4 works
- 6 Advanced Algebra and Geometry Mathematical Physics 4 works
- 7 Virtual Reality Applications and Impacts Human-Computer Interaction 3 works
- 8 Holomorphic and Operator Theory Applied Mathematics 3 works
- 9 Robotic Path Planning Algorithms Computer Vision and Pattern Recognition 3 works
- 10 Seismic Imaging and Inversion Techniques Geophysics 3 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.
World: 40% of research is openly available.
World: 18% is written across borders.
How has Mathematics Research Center's research output changed?
Output in 2022-2025 was 10% lower than in 2018-2021.
The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.
Its share of all research
Growing output can still be a shrinking share: all of science grows. This is Mathematics Research Center as a percentage of every work published that year, 0.0014% in 2024.
Fractional works of Mathematics Research Center over all fractional works that year. How the balance of science has shifted.
How much of it reaches the world top 10%
Year by year, against all institutions in the same year.
Of each year's output, the share that reached the world's 10% most cited for its field and year. Peak 13.3% in 2003.
Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners have tabs of their own, above.
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