World Online Ranking of Best Mathematics Scientists – 2023 Report

by Imed Bouchrika, Phd

Co-Founder and Chief Data Scientist

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On March 14, 2023, Research.com published the second edition of the annual ranking of best scientists in the area of mathematics. This report, which presents a list of leading scholars is intended to provide the academic community with information on the most influential researchers and their contributions to the advancement of mathematics.

In releasing this annual ranking, we hope that more researchers, decision-makers, and entrepreneurs around the world will be inspired to follow where leading experts are creating new paths. It is a great opportunity for all of us to learn from this report who are the leading experts in different research areas, in different countries, as well as within different universities and research institutions.

For the 2023 edition of the ranking, more than 6,200 scientist profiles from various bibliometric sources have been examined with several indicators and metrics reviewed in order to consider each scientist’s inclusion in the ranking.

The D-index (Discipline h-index) threshold for approving a scholar to be considered was set to 30 if most of their publications were in the field of mathematics. To be considered for this ranking, the inclusion criteria for scholars are based on the discipline h-index, the proportion of contributions made within the given discipline, and the awards and achievements of the scientists.

Latest developments in mathematics research

Algorithms that enable the automatic transmission, routing, and reception of data run on mathematics, and help researchers analyze large volumes of data. During disease outbreaks, mathematics has helped discover trends, assess risks, and predict outcomes.

Current research in the field of mathematics can be classified into how technology can assist in research, and how technology can enhance teaching approaches. Machine learning can aid mathematicians in discovering new conjectures and theorems. Augmented reality is being used for embodied cognition, which promotes theorizations of cognitive activity as grounded in goal-oriented multimodal sensorimotor phenomenology. These new types of learning are being explored to utilize interactive technologies to enact or witness particular movement forms.

Since mathematical practice is fundamentally limited and requires triangulation from multiple methods and theoretical lenses, technology is being used to enhance research. Advancements in teaching, learning, and research are propelled by the use of artificial intelligence. Researchers are now exploring how technology can enhance the practice of pure and applied mathematics.

How can aspiring mathematicians build a robust research career?

Aspiring mathematicians should focus on cultivating strong mentorship, interdisciplinary collaborations, and continuous skill development to enhance their career trajectory. Engaging in diverse research projects, publishing in reputable journals, and participating in professional networks are critical for establishing credibility. Complementing traditional academic pathways with flexible learning options can further bolster one’s profile; for instance, exploring easy degrees to get online may offer a strategic advantage. Additionally, gaining practical experience through research assistantships, internships, and industry partnerships can create opportunities for innovative contributions and long-term professional growth.

The key findings for the 2nd edition of the best mathematics scientists ranking

• Scholars from the United States lead the ranking with 469 scientists representing 46.9% of all leading mathematics scientists. The other countries with leading positions in the ranking are the United Kingdom (71 scientists or 7.1%), Germany (55 scientists or 5.5%), France (49 scientists or 4.9%), China (49 scientists or 4.9%), Canada (39 scientists or 3.9%), and Italy (29 scientists or 2.9%).
• 6 out of 10 scientists in the top 1% are from the U.S., while two are from France and one scientist each from Canada and Turkey.
• The number 1 position in the ranking is held by Jerrold E. Marsden from the California Institute of Technology, who has an h-index of 127.
• In 2023 the University of California-Berkely has the highest number of mathematics scientists who made it to the ranking, with as many as 27 of them working there this year.
• American universities constitute 90% of the top 10 leading institutions in mathematics with the only non-American institution being the University of Oxford in the 9th spot with 12 scientists.
• The average H-index for the top 1% of scientists is 118 against an average of 61 for all 1,000 scientists included in the ranking.

The full ranking for the 2023 list of best mathematics scientists can be found here:

BEST MATHEMATICS SCIENTISTS RANKING

Can mature professionals drive innovation through online mathematics programs?

Mature professionals are increasingly leveraging flexible online platforms to stay at the forefront of mathematical innovation. These programs offer advanced course modules that address emerging techniques and foster interdisciplinary research. They enable seasoned experts to update their skills with state‐of‐the‐art methodologies while integrating real-world applications into their practice. Online college classes for adults provide strategic opportunities to connect with a global network of scholars and practitioners, enhancing collaborative research and driving breakthrough solutions.

Can advanced degrees enhance career prospects and earnings in mathematics?

Advanced academic qualifications in mathematics not only sharpen theoretical and analytical skills but also pave the way for enhanced professional opportunities. Quantitative expertise is increasingly in demand across research, technology, finance, and data science sectors. Recent trends indicate that individuals with higher academic credentials are more likely to secure impactful roles and receive competitive compensation packages. In this context, selecting a program that aligns with industry needs is crucial, as advanced degrees often provide access to networks, research funding, and practical experiences that catalyze career advancement. For professionals evaluating their options, exploring the highest-paying master degrees can offer valuable insights into the programs that yield the best return on investment.

How can military-friendly online programs boost advanced mathematical research?

Military-friendly online programs offer tailored pathways for professionals transitioning from service roles to research-intensive careers in mathematics. These platforms facilitate access to flexible, high-quality coursework and research collaborations, leveraging a unique blend of discipline, technical expertise, and real-world problem-solving skills. The integration of structured online learning with research initiatives empowers graduates to contribute novel perspectives and analytical techniques to emerging mathematical challenges. For those evaluating educational pathways, consider exploring the easiest online college for military to maximize both academic advancement and career development.

How do research funding and industry collaborations influence mathematics research?

Strategic research funding and industry partnerships play a crucial role in advancing mathematical research by providing resources that support high-impact projects and innovative solutions. Diversified funding sources—from government agencies, private foundations, to industry collaborations—enable researchers to explore pioneering methodologies and facilitate the translation of theoretical discoveries into practical applications. Robust financial support often creates an environment where interdisciplinary teams can work together, driving research that addresses complex real-world challenges while maintaining academic rigor. Additionally, targeted programs and accelerated doctorate degrees can fast-track academic careers and foster deeper collaborations among institutions and industry stakeholders.

Countries with the highest number of leading mathematics scientists

Scientists from the United States dominate the list with 469 scholars included in 2022, which represents 46.9% of the whole ranking. Six out of 10 scientists in the top 1% are from the U.S., two scientists are from France, and one each is from Canada and Turkey.

The U.K. ranks second with 71 scientists.

The third spot was taken by Germany, which currently has 55 ranking scientists.

The other leading countries are France and China with 49 scientists each, Canada with 39 scientists, and Italy with 29 scholars.

The U.S. gained 11 more scientists in 2023, from 458 in 2022 to 469 in 2023. Scientists from the U.K. also increased, from 63 in 2022 to 71 in 2023.

From having 60 scientists in 2022, the total for Germany decreased in 2023 to 55 scientists. Similarly, the total number of scientists from Australia who made it to the ranking decreased from 28 in 2022 to 25 in 2023.

Please note that the country associated with a scientist is based on the affiliated research institution according to MAG, not on their actual nationality.

Institutions with the highest number of leading scientists

In the 2023 edition of our ranking, the leading institution is the University of California-Berkeley, with 27 scientists included in the ranking. Ranking second is Stanford University with 23 scientists, while Princeton University ranks third with 23 scholars as well.

From having 21 scientists in 2022, the University of California-Berkeley added six more scientists to the ranking, making the total 27 for 2023. One scientist was added to Princeton University. while Stanford University added three more scientists.

American universities constitute 90% of the top 10 leading institutions with the University of Oxford in the 9th spot as the only non-American institution.

Six out of 10 institutions in the top 1% of the ranking are based in the U.S., the other four are the Federal University of Toulouse Midi-Pyrénées in France (ranked 3rd), HEC Montréal in Canada (ranked 4th), Paul Sabatier University also in France (ranked 7th), and Çankaya University in Turkey (ranked 10th).

The only two institutions with more than one representative in the top 1% of the ranking are the California Institute of Technology (2 scholars) and the University of California, Los Angeles (2 scholars).

In 2023, Courant Institute of Mathematical Sciences in New York and Rutgers University in New Jersey made it to the top 10 institutions with the highest number of affiliated ranked scientists.

Among 20 leading institutions, 17 are universities based in the U.S., while the other three are based in Switzerland (ETH Zurich), the U.K. (University of Oxford), and Austria (University of Vienna).

Online universities open more opportunities for mathematical research

The increased accessibility to education provided by online universities has paved the way for students to pursue their interests through online learning. A degree in mathematics nowadays can be taken on campus and online, and the curriculum exposes students to the various aspects of mathematical research.

Students pursuing online degrees in pure and applied mathematics get involved in various research activities initiated by various organizations. The American Mathematical Society (AMS), for example, partners with universities for its programs such as the Research Experience for Undergraduates and Internship and Co-Op Opportunities for undergraduates. In addition, the Mathematics Research Communities of AMS offer early-career mathematicians a rich array of opportunities to develop collaborative research skills.

The Mathematical Sciences Institutes of the National Science Foundation provides grant funding to graduate and postdoctoral students to pursue research in the mathematical sciences. Online universities offering degrees in pure and applied mathematics have further strengthened mathematical research as scholars are able to easily connect with other institutions and gain more input and feedback in the process.

What are the emerging research trends in mathematics?

Analysis of emerging research trends reveals a shift towards interdisciplinary approaches that blend traditional mathematical theories with advances in artificial intelligence, big data analytics, and computational modeling. Researchers are leveraging these tools to uncover innovative applications in various domains, including finance, healthcare, and engineering. In parallel, the expansion of digital collaborations is fostering new research networks and partnerships that bridge geographic and institutional divides. The rise of online education—exemplified by programs offered through regionally accredited online schools—further supports this evolution by providing accessible, flexible learning pathways and research opportunities to a diverse global community.

Can one-year online master's programs drive innovation in mathematics?

Accelerated online master’s programs offer a concentrated pathway for professionals seeking to quickly enhance their research skills and theoretical knowledge. These programs integrate advanced mathematical coursework with real-time problem solving, addressing contemporary challenges through modern digital platforms. By reducing the duration of study while maintaining academic rigor, they allow researchers to more rapidly engage with innovative projects and collaborative networks. For instance, exploring programs such as online masters 1 year can provide a competitive edge and facilitate quicker transitions into high-impact research roles.

H-index ranking – leaders, averages, and distribution

For North America, Professor Jerrold E. Marsden from the California Institute of Technology in the U.S. ranks 1st on our list of leading scientists with a high D-index of 127.

Professor Noga Alon from Tel Aviv University, Israel leads the top list in Asia with a D-index of 113 and a world ranking of 11.

For Europe, Professor Didier Dubois from the Federal University of Toulouse Midi-Pyrénées in France is the top scientist in the region and is also ranked 3rd in the world, with a D-index of 121.

For Oceania, Professor Jonathan M. Borwein from the University of Newcastle Australia in Australia is on top of the list for the region with a world ranking of 58.

Professor Abdon Atangana of the University of the Free State in South Africa is the highest-ranked in Africa with a world ranking of 253.

Professor Gauss M. Cordeiro from the Brazilian Federal University of Pernambuco is the highest-ranking scientist from South America with a world ranking of 229.

The average D-index for the top 1% of scientists is 118.4 against an average of 60.65 for all 1,000 scientists included in the ranking.

The scholar with the lowest index value who made it to the ranking in 2023 has a D-index of 45.

The average number of published articles within the field of mathematics for the 1% of scientists in the ranking is 668 against an average of 271 for all 1,000 scholars.

You can learn more about the methodology used to create the ranking here.

About Research.com

All research was coordinated by Imed Bouchrika, Ph.D., a computer scientist with a well-established record of collaboration on a number of international research projects with different partners from the academic community. His role was to make sure all data remained unbiased, accurate, and up-to-date.

Research.com is the number one research portal for science and educational rankings. Our mission is to make it easier for professors, research fellows, and students to progress with their research and find the top experts in a wide range of scientific disciplines. Research.com is also a leading educational platform that helps students find the best colleges, academic opportunities, and career paths.