Nonlocal Models: Progress and Challenges in Analysis, Applications and Numerics

Organizers:

Valeria GIunta (Swansea University), Yurij Salmaniw - University of Oxford

Description:

Nonlocal advection-diffusion models are a rapidly growing area of research at the interface of mathematics and biology. These models, which include interactions beyond the immediate environment, capture complex phenomena such as long-range cell adhesion, bacterial signalling and swarming dynamics. Despite many recent advances, there are still many open questions that pose exciting challenges to researchers from different backgrounds. This mini-symposium aims to bring together a diverse group of speakers, ranging from Early Career Researchers (ECRs) to established experts. Our focus is not only on sharing recent advances in the theoretical and applied understanding of nonlocal models, but also on creating a space for networking and meaningful exchange of ideas. We see this symposium as a platform to support the consolidation of a cohesive community working on nonlocal PDEs from different perspectives, including analysis, numerics and applications. We will pay special attention to the discussions after each talk to encourage a relaxed and open dialogue. By facilitating interactions across career stages and expertise, we aim to inspire new collaborations and promote a sense of belonging among participants, further strengthening the global community engaged in this innovative and impactful field.

Diversity Statement:

We carefully selected our speakers to represent all career stages, ensuring a gender balance (2 women, 2 men), including women who have played an active role in supporting other women in Mathematics. Our speakers come from diverse countries and backgrounds, fostering inclusivity and inspiration for all. During the Q&A sessions, we will facilitate discussions to encourage participation, especially from early-career researchers, promoting an inclusive and supportive atmosphere.