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Research interests and funding - 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) in Einzelförderung ' Green's formulae and harmonic functions for graphs and Dirichlet spaces - follow up' (Joint with Prof. Dr. Matthias Keller and Dr. Marcel Schmidt), starting 2018.

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.