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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 Schwerpunktprogramm 'Geometry at infinity', 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.