Short Curriculum Vitae

• 2001-2003 Study of Physics at the University of Tuebingen
• 2003-2006 Study of Physics at the University of Leipzig
• 2007 Diploma in Physics at the University of Leipzig
• 2007-2011 PhD-student at the Max-Planck Institute for Mathematics in the Sciences
• 2011-present Post-doctoral fellow at the Max-Planck Institute for Mathematics in the Sciences

Research interests

• Spectral graph theory (undirected and directed graphs)
• Synchronization of chaos 
• Application of graph theory in complex networks

Publications

• Commutation relations and generated C*-Algebras (in german),  Diploma thesis at the University of Leipzig (2006) 
• Synchronization in discrete-time networks with general pairwise coupling, Nonlinearity 22 2333-2351 (2009) (with Fatihcan M. Atay and Juergen Jost) 

• Synchronized chaos in networks of simple units, EPL (89) No. 2, 20002 (2010) (with Fatihcan M. Atay and Juergen Jost)  
• Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplacian, to appear in Communications in Analysis and Geometry (with Juergen Jost)
  
  
• Eigenvalues of the normalized graph Laplacian and the architecture of directed networks, submitted (with A. Banerjee and Juergen Jost)
• Normalized graph Laplace operator for directed graphs, to appear in Linear Algebra and its Applications
• Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator, submitted (with Juergen Jost and Shiping Liu)
• Efficiently approximating the expected number of infections in disease spreading models, submitted (with Joseph Lizier)