Mathematics is an indispensable tool for understanding and solving many everyday problems; it serves as the formal language for numerous disciplines and constitutes a science—with its own methods and laws—that is the subject of genuine research. The Department of Mathematics has sought to reconcile these aspects by specializing in applied mathematics since its inception, in both teaching and research.  

The Department of Mathematics is located in the Sciences-Arrupe building, where it occupies a wing on the third and fourth floors. 

It is responsible for undergraduate (Bachelor’s), graduate (Master’s), and doctoral programs in mathematics. It also offers courses in other departments and schools. 

Learn more about the Department of Mathematics

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Gain professional experience abroad through Erasmus+

ERASMUS

What if you could complete your end-of-studies internship abroad? Discover another country, join a lab, a company, or a university, meet new people, and open yourself up to different ways of working. Thanks to the Erasmus+ program, undergraduate and graduate students can have this international experience. Mobility isn’t a one-way street: UNamur also welcomes international students to join its teams. 

Etudiants internationaux en stage à l'UNamur

A European Commission survey revealed that 64% of employers consider international experience to be a factor in hiring. In addition, 92% seek soft skills such as those acquired through mobility programs (openness, curiosity, problem-solving, decision-making, self-confidence). These are all skills that Erasmus+ mobility programs help develop.

International experience

Depending on the field of study and academic program, international mobility takes different forms at UNamur. For many undergraduate and graduate students, it involves an internship at a foreign institution, most often at a research center. That’s the path chosen by Lee Denis, a doctoral student in the Department of Physics, who spent three months at the Harvard-Smithsonian Center for Astrophysics (CFA) in Boston during her master’s program. “At UNamur, I was working in a group specializing in infrared molecular spectroscopy. The goal of this type of research is, in particular, to characterize the interaction between molecules and light in order to generate data that can then be used to study atmospheres, particularly those of exoplanets,” explains Lee Denis. “My internship at the CFA allowed me to discover a scientific database that bridges the gap between researchers working on spectroscopy and those studying atmospheres using telescopes, satellites, or other instruments. In particular, I worked on water and on how results produced in the laboratory can be made available and useful to the entire scientific community. The results obtained were subsequently put to further use and were even presented at a conference.”

Beyond the research conducted in the United States, what else did you gain from this experience? “This internship helped me become more independent and confident. I was also able to expand my professional network and saw tangible results, notably by becoming a co-author of a scientific article published during this exchange,” says Lee Denis.

For Isabella Fontana, director of the International Relations Office, these exchange programs can also have an impact on students’ future academic paths. 

Image
Isabella Fontana

These internships serve as true springboards for students’ future careers. They have already enabled many students to pursue graduate research, continue their studies abroad, or find a job. By joining these institutions, they participate in real research projects and develop their independence by discovering new ways of working and collaborating. Seeing our students thrive at these partner institutions also attests to the quality of their education. 

Isabella Fontana Director of International Relations

A UNamur Experience

But Erasmus+ exchanges work both ways. As a result, UNamur also hosts international students and doctoral candidates for research internships. A recent example? In 2026, four Cambodian students joined the Department of Mathematics and the Namur Research Institute on Complex Systems (naXys) thanks to Erasmus+ International Credit Mobility funding. 

Among them was Vannuth Ven, a master’s student in data science at the Institute of Technology of Cambodia (ITC), who chose to spend four months at UNamur. “I chose UNamur for its recognized expertise in mathematics and data science. This exchange allowed me to discuss my research with experienced researchers, exchange ideas in an international environment, and develop new perspectives for my work in the fields of artificial intelligence and the analysis of learning data in education.”

Vannuth Ven’s research focuses on data science and machine learning, with a particular emphasis on deep learning and dimension reduction methods. “As part of Cyril de Bodt’s team, my main task was to conduct research on optimization algorithms for a dimension reduction method called ‘Multi-Scale t-SNE.’ I compared the performance of four optimization schemes across 21 diverse datasets, developed an accelerated implementation, and created an interactive web platform allowing the community to reproduce and explore the results. ” This research also led to a research paper submitted to the WSOM+ 2026 international conference and published in Springer LNCS.

“Hosting these international students also allows us to strengthen our ties with partner institutions and continue to develop new research collaborations,” concludes Isabella Fontana. 

Etudiants cambodgiens au Département de mathématique de l'UNamur

Student Testimonials

“My time at UNamur was both academically enriching and personally fulfilling. It provided me with valuable research guidance, an international perspective, and a source of inspiration for the next stages of my doctoral journey.” Chentra PEN

Chentra Pen

“My internship at UNamur was one of the most rewarding experiences of my academic career. It allowed me to grow both professionally and personally, and inspired me to pursue a career in research.” Visal VANN

Visal Vann

“My time at UNamur showed me that science knows no boundaries and that curiosity and hard work can take you to the four corners of the world. It was one of the most enriching experiences of my life—academically, professionally, and personally.” Vannuth VEN

Vannuth Ven et Cyril de Bodt
Vannuth Ven et Cyril de Bodt

This article is taken from the "Guest" section of Omalius magazine, Issue #42 (September 2026).

Omalius-Septembre-2026

Research conducted in collaboration with UNamur draws inspiration from bees to help swarms of robots make better decisions

Publication
Physics and astronomy
Sustainable

How can a group of robots be enabled to make the right decision, even when some of the information is incorrect? An international team, including Timoteo Carletti, director of the Department of Mathematics at UNamur and a member of the naXys Institute, drew inspiration from bees. Published in *Nature Communications*, their research could help make swarms of robots more reliable and autonomous. 

Timoteo Carletti

Imagine dozens of robots sent into a disaster zone to search for victims, monitor a fragile ecosystem, or respond to a chemical spill. In these environments that are difficult or dangerous for humans, swarms of robots could one day play a valuable role. 

But to operate independently, they must first be able to agree on a course of action. And the task becomes more complicated when the information they exchange isn’t always reliable: a robot might malfunction, a sensor might provide incorrect data, or a message might be tampered with during a cyberattack.

Learning from Bees to Make Better Decisions

Andreagiovanni Reina of the University of Konstanz, Marco Dorigo and Raina Zakir of the Free University of Brussels, and Timoteo Carletti of UNamur sought to understand how robots can reach agreement when they receive conflicting information. To find a solution, the researchers turned to nature and to a champion of collective decision-making: the honeybee. 

Indeed, when a colony needs to find a new place to build its nest, bees set out to explore the surroundings and return to advocate for different locations. Those supporting one location can then send a signal to deter the bees advocating for another. Gradually, certain options are abandoned, and the colony eventually agrees on a single destination. 

Researchers have replicated this logic in robots. When a robot receives information that contradicts its current choice, it does not immediately change its mind. It first goes through a brief moment of hesitation, during which it no longer supports any option, before being able to make a new choice. This brief hesitation makes all the difference. Even when some information is false or unreliable, robots generally manage to reach agreement more quickly and clearly. 

When a Little Chaos Helps with Decision-Making

Even more surprising, researchers discovered that a limited amount of unreliable information could sometimes improve the outcome. These disruptions can prevent the swarm from agreeing too quickly on a poor option and increase its chances of ultimately choosing the best one. 

Similar mechanisms exist at various levels in nature, from neural networks to the mechanisms that regulate cells. This research thus bridges the gap between biology and robotics: living organisms inspire the design of more efficient robots, while experiments conducted with these robots provide a better understanding of certain mechanisms found in nature. 

Ultimately, this approach could help swarms of robots determine which area to explore first after a disaster or which environmental threat to address first. Congratulations to Timoteo Carletti and the entire team on this publication in *Nature Communications*! 

Timoteo Carletti – Short Biography

After earning a master’s degree in physics (University of Florence, June 1995), Timoteo Carletti pursued his doctoral studies in Florence (Italy) and Paris (France) at the IMCCE, and ultimately defended his doctoral dissertation in mathematics in February 2000.

He moved to Belgium in 2005 and was hired by the University of Namur as an adjunct lecturer, then as an assistant professor (2008), and finally as a full professor (2011) in the Department of Mathematics of the Faculty of Sciences. In 2010, he was one of the founders of the Namur Center for Complex Systems (now the Namur Institute for Complex Systems—naXys), which he directed until December 2014.

Learn more about Timoteo Carletti: https://www.unamur.be/fr/profil/tcarlett

Timoteo Carletti

Two UNamur Professors Featured During the Japanese Emperor's Visit

Institution

During the Japanese Emperor’s state visit to Belgium, two professors from the University of Namur had the opportunity to represent their institution at two highlights of the official program. Isabelle Parmentier and Alexandre Mauroy reflect on an experience they won’t soon forget.

Deux professeurs de l'UNamur au cœur de la visite de l'Empereur du Japon - @adobestock

Alexandre Mauroy: “A great opportunity to raise awareness of UNamur”

On Tuesday, June 23, the state visit began with an official banquet at the Château de Laeken. Among the approximately 150 guests was Alexandre Mauroy, a professor in the Department of Mathematics at the Faculty of Sciences of UNamur. Invited at the request of the Vice-Rector for International Relations and Cooperation, he represented the University of Namur due to his scientific collaborations with Japanese researchers, particularly in connection with a future Erasmus+ project with Kyoto University. “It was a wonderful opportunity to raise awareness of UNamur,” he explains.

At the Castle of Laeken, Alexandre Mauroy encountered a highly formalized protocol and an evening attended by numerous prominent figures. “At the cocktail reception, Prime Minister Bart De Wever was right next to me. At the end of the evening, the King was having his coffee just a few meters away. The next morning, I almost felt like I’d been dreaming.”

Isabelle Parmentier: “I never would have imagined going through this a few years ago”

The next day, the imperial procession stopped at the Castle of Namur for a visit focused on water management. On this occasion, Isabelle Parmentier, a professor in the Department of History at the Faculty of Philosophy and Letters and a specialist in environmental history, was invited by the Governor of the Province of Namur to present a scholarly lecture on the province’s hydrological history. This topic was chosen because of Emperor Naruhito’s interest in issues related to water and the environment.

Isabelle Parmentier

“It’s a truly special experience,” she explains. “I never would have imagined going through this a few years ago. I was very happy to be able to present my area of expertise to the monarchs.” After the presentations, she shared lunch at the table of the Emperor of Japan and King Philippe. “Protocol dictated that we not speak to them spontaneously, but the Emperor showed great interest in my presentation and asked me several questions.” 

Although their experiences were very different, Alexandre Mauroy and Isabelle Parmentier both share the same feeling: pride in having represented the University of Namur at an event that highlights the strength of relations between Belgium and Japan, as well as the international reach of the research conducted at UNamur. 

A university open to the world

The University of Namur has developed numerous partnerships with universities and research institutions around the world. These collaborations promote academic exchanges, joint research projects and mobility opportunities for students, researchers and staff, while strengthening UNamur's international profile.

A new study reveals how “free riders” can ultimately promote cooperation

Publication
Physics and astronomy
Sustainable

In human societies as well as in ecosystems, opportunistic behaviour does not always prevail. The scientific article, fruit of the collaboration between research teams in India, Slovenia and Belgium, has just been published in the prestigious PNAS journal.

Timoteo Carletti

Cooperation lies at the heart of many human societies, ecosystems, and microbial communities. Yet it is constantly threatened by individuals who benefit from collective efforts without contributing themselves. A new study driven by an international collaboration between the teams lead by, Professor Dibakar Ghosh (ISI, Kolkata, India), Professor Matjaž Perc (University of Maribor, Slovenia) and Professor Timoteo Carletti (UNamur, naXys institute, Belgium) shows that the way individuals move within a network can play a decisive role in sustaining cooperation.

For decades, scientists have sought to understand why cooperation persists even though selfish behaviour often appears more advantageous in the short term. Classical theoretical models generally predict that “defectors” — individuals who benefit from a common resource without contributing to it — should eventually dominate.

The unexpected role of movement

Reality, however, tells a different story. In nature as well as in human societies, cooperation remains remarkably widespread. To investigate this apparent paradox, the researchers developed a mathematical model describing populations organized in groups modelled as nodes of a network, where cooperators and defectors can move between groups. Their analysis reveals an unexpected phenomenon: when defectors move faster than cooperators, their advantage can actually diminish. Because cooperators are less mobile, they tend to remain clustered together. These clusters create favourable conditions for mutual support and allow cooperation to persist despite the presence of opportunistic individuals.

The researchers also found that the structure of the network itself plays an important role. Highly connected nodes — comparable to transportation hubs or highly influential individuals in a social network — are particularly effective at sustaining cooperation. By contrast, more peripheral areas remain more vulnerable to defection.

New insights into collective behaviour

These findings highlight a simple yet powerful mechanism: differences in mobility can promote the spontaneous emergence of stable cooperative communities. The results offer new insights into the dynamics of collective behaviour across a wide range of systems, from ecosystems and human societies to microbial populations.

Image
Timoteo Carletti

“Our work shows that movement is not merely a secondary feature of a system. It can fundamentally alter the balance between cooperation and selfish behaviour. Cooperation may emerge not despite mobility, but because of it, when different actors move in different ways.”

Timoteo Carletti Chair of the Department of Mathematics

The journal "Proceedings of the National Academy of Sciences" (PNAS), a peer-reviewed publication of the National Academy of Sciences (NAS), is a leading venue for high-impact original research spanning the biological, physical, and social sciences. The journal has a global reach and welcomes submissions from researchers around the world.

Congratulations to the researchers on this publication!

Timoteo Carletti – Short Biography

After earning a master’s degree in physics from the University of Florence in June 1995, Timoteo Carletti pursued doctoral studies in Florence and Paris, notably at the Institut de mécanique céleste et de calcul des éphémérides. He completed his PhD in Mathematics in February 2000.

In 2005, he moved to Belgium and joined the University of Namur as a Lecturer. He was subsequently appointed Professor in 2008 and Full Professor in 2011 within the Department of Mathematics of the Faculty of Science. In 2010, he was among the founders of the Namur Center for Complex Systems, which later became the Namur Institute for Complex Systems. He served as its Director until December 2014.

About Timoteo Carletti: https://www.unamur.be/en/profil/tcarlett

Timoteo Carletti

Gain professional experience abroad through Erasmus+

ERASMUS

What if you could complete your end-of-studies internship abroad? Discover another country, join a lab, a company, or a university, meet new people, and open yourself up to different ways of working. Thanks to the Erasmus+ program, undergraduate and graduate students can have this international experience. Mobility isn’t a one-way street: UNamur also welcomes international students to join its teams. 

Etudiants internationaux en stage à l'UNamur

A European Commission survey revealed that 64% of employers consider international experience to be a factor in hiring. In addition, 92% seek soft skills such as those acquired through mobility programs (openness, curiosity, problem-solving, decision-making, self-confidence). These are all skills that Erasmus+ mobility programs help develop.

International experience

Depending on the field of study and academic program, international mobility takes different forms at UNamur. For many undergraduate and graduate students, it involves an internship at a foreign institution, most often at a research center. That’s the path chosen by Lee Denis, a doctoral student in the Department of Physics, who spent three months at the Harvard-Smithsonian Center for Astrophysics (CFA) in Boston during her master’s program. “At UNamur, I was working in a group specializing in infrared molecular spectroscopy. The goal of this type of research is, in particular, to characterize the interaction between molecules and light in order to generate data that can then be used to study atmospheres, particularly those of exoplanets,” explains Lee Denis. “My internship at the CFA allowed me to discover a scientific database that bridges the gap between researchers working on spectroscopy and those studying atmospheres using telescopes, satellites, or other instruments. In particular, I worked on water and on how results produced in the laboratory can be made available and useful to the entire scientific community. The results obtained were subsequently put to further use and were even presented at a conference.”

Beyond the research conducted in the United States, what else did you gain from this experience? “This internship helped me become more independent and confident. I was also able to expand my professional network and saw tangible results, notably by becoming a co-author of a scientific article published during this exchange,” says Lee Denis.

For Isabella Fontana, director of the International Relations Office, these exchange programs can also have an impact on students’ future academic paths. 

Image
Isabella Fontana

These internships serve as true springboards for students’ future careers. They have already enabled many students to pursue graduate research, continue their studies abroad, or find a job. By joining these institutions, they participate in real research projects and develop their independence by discovering new ways of working and collaborating. Seeing our students thrive at these partner institutions also attests to the quality of their education. 

Isabella Fontana Director of International Relations

A UNamur Experience

But Erasmus+ exchanges work both ways. As a result, UNamur also hosts international students and doctoral candidates for research internships. A recent example? In 2026, four Cambodian students joined the Department of Mathematics and the Namur Research Institute on Complex Systems (naXys) thanks to Erasmus+ International Credit Mobility funding. 

Among them was Vannuth Ven, a master’s student in data science at the Institute of Technology of Cambodia (ITC), who chose to spend four months at UNamur. “I chose UNamur for its recognized expertise in mathematics and data science. This exchange allowed me to discuss my research with experienced researchers, exchange ideas in an international environment, and develop new perspectives for my work in the fields of artificial intelligence and the analysis of learning data in education.”

Vannuth Ven’s research focuses on data science and machine learning, with a particular emphasis on deep learning and dimension reduction methods. “As part of Cyril de Bodt’s team, my main task was to conduct research on optimization algorithms for a dimension reduction method called ‘Multi-Scale t-SNE.’ I compared the performance of four optimization schemes across 21 diverse datasets, developed an accelerated implementation, and created an interactive web platform allowing the community to reproduce and explore the results. ” This research also led to a research paper submitted to the WSOM+ 2026 international conference and published in Springer LNCS.

“Hosting these international students also allows us to strengthen our ties with partner institutions and continue to develop new research collaborations,” concludes Isabella Fontana. 

Etudiants cambodgiens au Département de mathématique de l'UNamur

Student Testimonials

“My time at UNamur was both academically enriching and personally fulfilling. It provided me with valuable research guidance, an international perspective, and a source of inspiration for the next stages of my doctoral journey.” Chentra PEN

Chentra Pen

“My internship at UNamur was one of the most rewarding experiences of my academic career. It allowed me to grow both professionally and personally, and inspired me to pursue a career in research.” Visal VANN

Visal Vann

“My time at UNamur showed me that science knows no boundaries and that curiosity and hard work can take you to the four corners of the world. It was one of the most enriching experiences of my life—academically, professionally, and personally.” Vannuth VEN

Vannuth Ven et Cyril de Bodt
Vannuth Ven et Cyril de Bodt

This article is taken from the "Guest" section of Omalius magazine, Issue #42 (September 2026).

Omalius-Septembre-2026

Research conducted in collaboration with UNamur draws inspiration from bees to help swarms of robots make better decisions

Publication
Physics and astronomy
Sustainable

How can a group of robots be enabled to make the right decision, even when some of the information is incorrect? An international team, including Timoteo Carletti, director of the Department of Mathematics at UNamur and a member of the naXys Institute, drew inspiration from bees. Published in *Nature Communications*, their research could help make swarms of robots more reliable and autonomous. 

Timoteo Carletti

Imagine dozens of robots sent into a disaster zone to search for victims, monitor a fragile ecosystem, or respond to a chemical spill. In these environments that are difficult or dangerous for humans, swarms of robots could one day play a valuable role. 

But to operate independently, they must first be able to agree on a course of action. And the task becomes more complicated when the information they exchange isn’t always reliable: a robot might malfunction, a sensor might provide incorrect data, or a message might be tampered with during a cyberattack.

Learning from Bees to Make Better Decisions

Andreagiovanni Reina of the University of Konstanz, Marco Dorigo and Raina Zakir of the Free University of Brussels, and Timoteo Carletti of UNamur sought to understand how robots can reach agreement when they receive conflicting information. To find a solution, the researchers turned to nature and to a champion of collective decision-making: the honeybee. 

Indeed, when a colony needs to find a new place to build its nest, bees set out to explore the surroundings and return to advocate for different locations. Those supporting one location can then send a signal to deter the bees advocating for another. Gradually, certain options are abandoned, and the colony eventually agrees on a single destination. 

Researchers have replicated this logic in robots. When a robot receives information that contradicts its current choice, it does not immediately change its mind. It first goes through a brief moment of hesitation, during which it no longer supports any option, before being able to make a new choice. This brief hesitation makes all the difference. Even when some information is false or unreliable, robots generally manage to reach agreement more quickly and clearly. 

When a Little Chaos Helps with Decision-Making

Even more surprising, researchers discovered that a limited amount of unreliable information could sometimes improve the outcome. These disruptions can prevent the swarm from agreeing too quickly on a poor option and increase its chances of ultimately choosing the best one. 

Similar mechanisms exist at various levels in nature, from neural networks to the mechanisms that regulate cells. This research thus bridges the gap between biology and robotics: living organisms inspire the design of more efficient robots, while experiments conducted with these robots provide a better understanding of certain mechanisms found in nature. 

Ultimately, this approach could help swarms of robots determine which area to explore first after a disaster or which environmental threat to address first. Congratulations to Timoteo Carletti and the entire team on this publication in *Nature Communications*! 

Timoteo Carletti – Short Biography

After earning a master’s degree in physics (University of Florence, June 1995), Timoteo Carletti pursued his doctoral studies in Florence (Italy) and Paris (France) at the IMCCE, and ultimately defended his doctoral dissertation in mathematics in February 2000.

He moved to Belgium in 2005 and was hired by the University of Namur as an adjunct lecturer, then as an assistant professor (2008), and finally as a full professor (2011) in the Department of Mathematics of the Faculty of Sciences. In 2010, he was one of the founders of the Namur Center for Complex Systems (now the Namur Institute for Complex Systems—naXys), which he directed until December 2014.

Learn more about Timoteo Carletti: https://www.unamur.be/fr/profil/tcarlett

Timoteo Carletti

Two UNamur Professors Featured During the Japanese Emperor's Visit

Institution

During the Japanese Emperor’s state visit to Belgium, two professors from the University of Namur had the opportunity to represent their institution at two highlights of the official program. Isabelle Parmentier and Alexandre Mauroy reflect on an experience they won’t soon forget.

Deux professeurs de l'UNamur au cœur de la visite de l'Empereur du Japon - @adobestock

Alexandre Mauroy: “A great opportunity to raise awareness of UNamur”

On Tuesday, June 23, the state visit began with an official banquet at the Château de Laeken. Among the approximately 150 guests was Alexandre Mauroy, a professor in the Department of Mathematics at the Faculty of Sciences of UNamur. Invited at the request of the Vice-Rector for International Relations and Cooperation, he represented the University of Namur due to his scientific collaborations with Japanese researchers, particularly in connection with a future Erasmus+ project with Kyoto University. “It was a wonderful opportunity to raise awareness of UNamur,” he explains.

At the Castle of Laeken, Alexandre Mauroy encountered a highly formalized protocol and an evening attended by numerous prominent figures. “At the cocktail reception, Prime Minister Bart De Wever was right next to me. At the end of the evening, the King was having his coffee just a few meters away. The next morning, I almost felt like I’d been dreaming.”

Isabelle Parmentier: “I never would have imagined going through this a few years ago”

The next day, the imperial procession stopped at the Castle of Namur for a visit focused on water management. On this occasion, Isabelle Parmentier, a professor in the Department of History at the Faculty of Philosophy and Letters and a specialist in environmental history, was invited by the Governor of the Province of Namur to present a scholarly lecture on the province’s hydrological history. This topic was chosen because of Emperor Naruhito’s interest in issues related to water and the environment.

Isabelle Parmentier

“It’s a truly special experience,” she explains. “I never would have imagined going through this a few years ago. I was very happy to be able to present my area of expertise to the monarchs.” After the presentations, she shared lunch at the table of the Emperor of Japan and King Philippe. “Protocol dictated that we not speak to them spontaneously, but the Emperor showed great interest in my presentation and asked me several questions.” 

Although their experiences were very different, Alexandre Mauroy and Isabelle Parmentier both share the same feeling: pride in having represented the University of Namur at an event that highlights the strength of relations between Belgium and Japan, as well as the international reach of the research conducted at UNamur. 

A university open to the world

The University of Namur has developed numerous partnerships with universities and research institutions around the world. These collaborations promote academic exchanges, joint research projects and mobility opportunities for students, researchers and staff, while strengthening UNamur's international profile.

A new study reveals how “free riders” can ultimately promote cooperation

Publication
Physics and astronomy
Sustainable

In human societies as well as in ecosystems, opportunistic behaviour does not always prevail. The scientific article, fruit of the collaboration between research teams in India, Slovenia and Belgium, has just been published in the prestigious PNAS journal.

Timoteo Carletti

Cooperation lies at the heart of many human societies, ecosystems, and microbial communities. Yet it is constantly threatened by individuals who benefit from collective efforts without contributing themselves. A new study driven by an international collaboration between the teams lead by, Professor Dibakar Ghosh (ISI, Kolkata, India), Professor Matjaž Perc (University of Maribor, Slovenia) and Professor Timoteo Carletti (UNamur, naXys institute, Belgium) shows that the way individuals move within a network can play a decisive role in sustaining cooperation.

For decades, scientists have sought to understand why cooperation persists even though selfish behaviour often appears more advantageous in the short term. Classical theoretical models generally predict that “defectors” — individuals who benefit from a common resource without contributing to it — should eventually dominate.

The unexpected role of movement

Reality, however, tells a different story. In nature as well as in human societies, cooperation remains remarkably widespread. To investigate this apparent paradox, the researchers developed a mathematical model describing populations organized in groups modelled as nodes of a network, where cooperators and defectors can move between groups. Their analysis reveals an unexpected phenomenon: when defectors move faster than cooperators, their advantage can actually diminish. Because cooperators are less mobile, they tend to remain clustered together. These clusters create favourable conditions for mutual support and allow cooperation to persist despite the presence of opportunistic individuals.

The researchers also found that the structure of the network itself plays an important role. Highly connected nodes — comparable to transportation hubs or highly influential individuals in a social network — are particularly effective at sustaining cooperation. By contrast, more peripheral areas remain more vulnerable to defection.

New insights into collective behaviour

These findings highlight a simple yet powerful mechanism: differences in mobility can promote the spontaneous emergence of stable cooperative communities. The results offer new insights into the dynamics of collective behaviour across a wide range of systems, from ecosystems and human societies to microbial populations.

Image
Timoteo Carletti

“Our work shows that movement is not merely a secondary feature of a system. It can fundamentally alter the balance between cooperation and selfish behaviour. Cooperation may emerge not despite mobility, but because of it, when different actors move in different ways.”

Timoteo Carletti Chair of the Department of Mathematics

The journal "Proceedings of the National Academy of Sciences" (PNAS), a peer-reviewed publication of the National Academy of Sciences (NAS), is a leading venue for high-impact original research spanning the biological, physical, and social sciences. The journal has a global reach and welcomes submissions from researchers around the world.

Congratulations to the researchers on this publication!

Timoteo Carletti – Short Biography

After earning a master’s degree in physics from the University of Florence in June 1995, Timoteo Carletti pursued doctoral studies in Florence and Paris, notably at the Institut de mécanique céleste et de calcul des éphémérides. He completed his PhD in Mathematics in February 2000.

In 2005, he moved to Belgium and joined the University of Namur as a Lecturer. He was subsequently appointed Professor in 2008 and Full Professor in 2011 within the Department of Mathematics of the Faculty of Science. In 2010, he was among the founders of the Namur Center for Complex Systems, which later became the Namur Institute for Complex Systems. He served as its Director until December 2014.

About Timoteo Carletti: https://www.unamur.be/en/profil/tcarlett

Timoteo Carletti
All news

Agenda

11
2027

Women in Science - 7th Edition

Event

Women in Science - 7th Edition

Gender and diversity
Science
SDG 5 - Gender equality
11
2027 09:00 - 20:00
Université de Namur, Faculté des sciences, auditoire S01 - rue Grafé, 2 - 5000 Namur
Contact person :  Comité Women in science

This annual event aims at promoting the access of women and girls to science and technology as well as their full and fair participation. It reminds the important role of women in the scientific community and constitutes a great opportunity to encourage girls and young women to participate in the scientific developments.

Women in science - 7th edition

Save the date!

Show your support for equal opportunities for ALL genders in science and technology.

More information to come. 

All events