Dr. Michael Hecht
Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG)
Phone: +49 351 210-2520
Michael Hecht is a Postdoc at the MOSAIC since October 2015. He is an German citizen and was born in Zeitz, Germany in 1980.
Michael completed a Vordiplom (similar to Bachelor) degree in physics and a Diploma degree (equiv. M.Sc.) in mathematics at the University of Leipzig, from where he graduated in 2007. In 2007, he started his PhD at the University of Leipzig, supervised by Prof. Dr. Matthias Schwarz and Prof. Dr. Alberto Abbondandolo. During this time, Michael was also a guest at the Max Planck Institute for Mathematics in the Sciences in Leipzig in 2010. He completed his PhD thesis “isomorphic chain complexes of Hamiltonian dynamics on tori” in Pure Mathematics in 2012. The thesis describes the construction of a chain isomorphism between the Morse complex of the Hamiltonian action functional and the Floer complex of the Hamiltonian. The construction uses deep results in the theory of PDEs, ODEs, differential geometry, functional analysis, and algebraic topology.
From 2013 until 2015, Michael was Postdoc at the Bioinformatics group of Prof. Dr. Peter F. Stadler at the University of Leipzig. During this time, he developed a deep understanding of the topology of cycle spaces of graphs and their application to biological polymers and sequences. As an application, a new approach to solving the Feedback Arc Set Problem has been established.
At the MOSAIC group, Michael combines his expertise in PDEs and ODEs and his understanding of discrete mathematics to developing new approaches and solving problems occurring in the theoretical foundations of particle methods and their efficient parallel implementation. In particular, he is interested in applying algebraic topology to discrete problems.