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Research Interests - Daniel Lenz


  • Spectral theory and Dirichlet forms

  • Mathematical diffraction theory and aperiodic order

  • Dynamical systems of low complexity

  • Laplacians on discrete structures

  • Quantum graphs

  • Random Schrödinger operators

  • Inverse semigroups and groupoids

Research supported by German Research Foundation (DFG) within SPP 'Geometry at infinity' (joint project with Prof. Dr. Matthias Keller, Potsdam), since spring 2017.

Research supported by German Research Foundation (DFG) within Graduiertenkolleg 'Quanten- und Gravitationsfelder' (since fall 2013).

Research supported  by German Research Founddation (DFG) in Einzelförderung 'Geometry of discrete spaces and spectral theory of non-local operators' (joint with Dr. Matthias Keller),   since 2012. 

Research supported by German Research Foundation (DFG) in Einzelföderung 'Zuf\"allige und periodische Quantengraphen', 2009 - 2014.

Research supported by German Research Foundation (DFG) in Einzelförderung  'Delone dynamische Systeme: Ergodentheorie, Diffraktion und Operatortheorie'    (joint project with Prof. Dr. P. Stollmann), 2004 --2008.

Research supported by  German Research Foundation (DFG) within Schwerpunktprogramm "Quasikristalle"  (joint project with Prof. Dr. P. Stollmann), 2001 - 2003.