Solving certain mathematical problems promises to unleash the full power of computational science. Many applications in bio-physics, systems biology, and computational physics would benefit from theoretical advances. Upon invitation from Michael Hecht, CASUS Young Investigator, half a dozen experts from renowned institutions around the globe convened in mid-September in Görlitz to work on numerical differential geometry and kernel methods.

Modern algorithms and technology may have reshaped scientific life tremendously, yet one thing remains the same as ever: “The optimal path to making progress on challenging mathematical problems lies in face-to-face discussions at the blackboard with colleagues,” says Hecht. In the realm of numerical differential geometry today’s challenges encompass a wide spectrum, from simulating droplets in fluid dynamics to modeling the bio-physically dynamic morphology of embryos and tissues, and exploring the shape of quantum droplets within Einstein-Bose condensates. “These problems involve a complex interplay between geometry and dynamics that demand more than computational prowess; they require a novel mathematical perspective, the very essence of this workshop’s pursuit.”

The event was applauded by all participants. “CASUS is the perfect canvas for workshops like this, where excellence in research meets the charm of Görlitz, creating an exceptional venue that inspires collaboration and innovation,” says Grady B. Wright, Professor at Boise State University (US) and one of the workshop participants.

Following various analyses and discussions, strategies to overcome the identified challenges were devised at the event and several long-term collaboration projects were nudged. One of the most likely forms of collaboration will be shared hiring of postdoctoral fellows and joint supervision of PhD students under joint research grants.

The workshop was organized within the Scultetus Center of CASUS. Weronika Schlechte-Wełnicz, Head of the Scultetus Center, comments: “As a newly established knowledge exchange center we should serve as space for scientific networking, sharing expertise and ideas. I am delighted to see that we were able to establish this place to foster innovation and promote the interdisciplinary research that can benefit both scientists and society as a whole.”