Lukas Schimmer

Royal Swedish Academy of Sciences

Mittag-Leffler Institute

I am a postdoc at the Mittag-Leffler Institute of the Royal Swedish Academy of Sciences, working with Prof A. Laptev.

Contact Details:

Address: Institut Mittag-Leffler
Aurav├Ągen 17
182 60 Djursholm
Sweden
Email: lukas.schimmer (at) kva.se

Research Interests:

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.