Moritz Gerlach

Dr. Moritz Gerlach is a researcher associated with the Institute of Mathematics at the University of Potsdam. His work focuses on operator theory, ergodic theory, and the asymptotic behavior of Markov processes. He collaborates on topics like kernel operators, positivity in Banach lattices, and spectral convergence in graph theory.

• PhD thesis: Semigroups of Kernel Operators (2014)
• Diploma thesis: The Asymptotic Behavior of Positive Semigroups (2010)
• Diploma thesis: Comparison of Time and Space Complexity (2008)

Gerlach's research spans positive operator semigroups, their convergence properties, and applications to partial differential equations and stochastic processes. He has extended classical theorems by Doob, Lasota-Yorke, and Lévy, often eliminating restrictive continuity assumptions. His work on graph Laplacian convergence bridges machine learning and computational mathematics.

His publications, including 10 peer-reviewed articles since 2012, emphasize abstract kernel operators, mixing properties, and lattice structures. While the website lists him as a freelancer, his university email (gerlach@math.uni-potsdam.de) suggests ongoing collaboration with the institute.