Lukas Schimmer

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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, variational principles and self-adjoint extensions of discrete and continuous differential operators in different geometries. I am especially interested in the investigation of sharp constants in Lieb–Thirring inequalities.