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Classifying von Neumann algebras

Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of von Neumann algebras. The RIGIDITY project, funded by the ERC, aims to classify families of von Neumann algebras.
Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of von Neumann algebras. The RIGIDITY project, funded by the ERC,…
Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of von Neumann algebras. The…
Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of von Neumann algebras. The RIGIDITY project, funded…
Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of…

Fighting harmful insects in an eco-friendly way

Malaria, Zika virus, dengue, sleeping sickness… some people get goose bumps just hearing these names. Dr. Jérémy Bouyer certainly isn’t one of them. He received funding from the ERC to look for environmentally-friendly techniques against pest…
Malaria, Zika virus, dengue, sleeping sickness… some people get goose bumps just hearing these names. Dr. Jérémy Bouyer certainly isn’t one of them. He received funding from the ERC to…
Malaria, Zika virus, dengue, sleeping sickness… some people get goose bumps just hearing these names. Dr. Jérémy Bouyer certainly isn’t one of them…
Malaria, Zika virus, dengue, sleeping sickness… some people get goose bumps just hearing these names. Dr. Jérémy Bouyer certainly isn’t one of them. He received funding from…
Malaria, Zika virus, dengue, sleeping sickness… some people get goose bumps just hearing these names. Dr. Jérémy Bouyer…

Census statistics and the people of Europe

How do we know the population of Europe and who are its people? What role might digital technologies play in answering this question and how might citizens participate? Watch our interview with Evelyn Ruppert to find some answers.Prof. Ruppert is…
How do we know the population of Europe and who are its people? What role might digital technologies play in answering this question and how might citizens participate? Watch our…
How do we know the population of Europe and who are its people? What role might digital technologies play in answering this question and how might…
How do we know the population of Europe and who are its people? What role might digital technologies play in answering this question and how might citizens participate? Watch…
How do we know the population of Europe and who are its people? What role might digital technologies play in answering this…

New tools to understand the large-scale behaviour of complex systems

Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at something from a distance – although you don’t see all the details, you can still describe what you see…
Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at something from a distance – although you…
Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at…
Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at something from a distance –…
Understanding complex structures means separating irrelevant information to get to something simpler and easier to…

ERC 2019 Work Programme and expected changes to ERC Calls

The annual Work Programme for the European Research Council is the legal document which sets out how the ERC will allocate its funding for the corresponding year. It is established by the Scientific Council of the ERC and subsequently adopted by the…
The annual Work Programme for the European Research Council is the legal document which sets out how the ERC will allocate its funding for the corresponding year. It is established by…
The annual Work Programme for the European Research Council is the legal document which sets out how the ERC will allocate its funding for the…
The annual Work Programme for the European Research Council is the legal document which sets out how the ERC will allocate its funding for the corresponding year. It is…
The annual Work Programme for the European Research Council is the legal document which sets out how the ERC will allocate…

New approaches to controlling dynamics

Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to meteorology, aeronautics, oil and gas and biomedicine – to name only a few. But…
Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to meteorology,…
Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from…
Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to…
Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a…

Statistical inference for random functions and measures

How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across individuals? These questions are intrinsically statistical, but nevertheless escape the traditional tools of…
How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across individuals? These questions are…
How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across…
How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across individuals? These questions are…
How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several…

Understanding the deformation spaces of geometric structures

Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are closely related to the generalisation of Teichmüller space, which describes how the surface of a…
Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are closely related to the generalisation…
Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are…
Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are closely related to the…
Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years…

Unravelling the mysteries of homogeneous dynamics

How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection goes both ways. The GMODGAMMADYNAMICS project, funded by an ERC grant, took a broad approach…
How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection goes both ways. The…
How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection…
How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection goes both ways. The…
How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous…
Cover image of Growing up I didn't even know that mathematicians existed!

Growing up I didn't even know that mathematicians existed!

Alessio Figalli, recent winner of a Fields Medal for mathematics, discusses his career, research topics and the support of the ERC.