The successful candidate will work in a multi-disciplinary research team in the ERC Advantage Grant project GAPT Geometric Analysis and Potential Theory, under the supervision of Dr Xavier Tolsa (PI).
The goal of this project is to solve several long standing questions in the areas of geometric analysis and potential theory by combining new ideas and techniques from harmonic analysis, geometric measure theory, calculus of variations, and free boundary problems. These topics are central in mathematics, and they have applications in other fields, such as signal processing, neurosciences, or quantum mechanics, as well as in other branches of pure mathematics, like complex analysis, number theory,or PDE’s.
S/he is expected to both perform research independently and coordinate his work with other team members.
S/he is expected to work on topics in connection with unique continuation, harmonic and elliptic measures, and related topics which will lead to the obtention of their PhD thesis. There are no teaching obligations, but s/he will actively take part in all GAPT seminar series events and the project’s scheduled activities, including publication schemes.
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