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Every month, we provide up to £2,000 in grant money to early career researchers in quantitative disciplines. Our aim is to support and assist PhD students and postdocs conducting research, with a specific focus on helping with costs that may be difficult to get funding for elsewhere, for example, expenses for travel related to research work. Here, Julius Berner, grant recipient from November 2022, talks us through his research on the mathematical analysis of deep learning and the development of neural solvers for partial differential equations (PDEs). Julius was selected to present his research as a selected talk at NeurIPS 2022, in New Orleans, USA. Without funding from G-Research, Julius would have been unable to attend and present his research at NeurIPS.