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Primære forskningsområder

My research mainly focuses on problems in Analysis and Spectral Theory that originate from Mathematical Physics. I study trace formulae, spectral inequalities, Weyl-type asymptotics, resolvent estimates and self-adjoint extensions of discrete and continuous differential operators. I am especially interested in the investigation of sharp constants in Lieb–Thirring inequalities. Furthermore I am interested in investigating the exchange energy in Density Functional Theory, especially in the context of finding improvements on the Lieb–Oxford inequality.