After completing her PhD sub auspiciis in 2023 at the ASC under the supervision of Prof. Ansgar JÜNGEL – for which she was awarded the Hannspeter Winter Prize 2023 – Alexandra HOLZINGER joined the University of Oxford as a postdoctoral researcher, where she worked until the end of September 2025.
At Oxford, she conducted research within the OxPDE group under the guidance of José A. CARRILLO, focusing on so-called mean-field limits, a research area that connects partial differential equations (PDEs) and stochastics.

In this context, large stochastic interacting particle systems—motivated by applications in physics, biology, and the social sciences—are analyzed, and their spatial distributions are studied. Describing such systems through partial differential equations leads to a significant reduction in dimensionality, since the underlying particle models in many applications—such as the simulation of synapses in the brain—are too complex to be directly simulated. A mean-field limit therefore provides a mathematical framework linking stochastic particle models to PDEs. Due to their wide range of applications, mean-field limits are gaining increasing importance in both pure mathematics, which is Alexandra’s primary research focus, and applied mathematics.

A particular emphasis of Alexandra’s work lies in the analysis of particle systems in the moderate-interaction regime, which plays a key role in understanding local PDEs. A specific mathematical challenge arises from highly singular interaction kernels, for the study of which new mathematical methods have been developed in international collaborations—efforts in which Alexandra has played a key role.

In addition to her research, Alexandra also served as a Stipendiary Lecturer at The Queen’s College, Oxford, where she conducted tutorials and supervised undergraduate students of the college.