M. Fränzle’s research interests are in modelling, verification, and synthesis of reactive, real-time, and hybrid dynamics in embedded and cyber-physical systems. He has worked on the semantics of high-level modelling and specification languages and on decision problems and their application to verifying and synthesizing real-time and hybrid discrete-continuous systems including settings subject to stochastic disturbances. The complexity barrier rapidly hit by such automated verification and synthesis procedures has been attacked through extending bounded model checking to very expressive temporal logics, branching-time abstractions, and by developing SAT-modulo-theory techniques for arithmetic constraint solving and tailoring them to the specific formulae structures arising in different verification domains and in synthesis. Furthermore, SAT-modulo-theory techniques for arithmetic constraint solving have been extended to the undecidable domain of arithmetic constraints involving transcendental functions and ordinary differential equations as well as to stochastic variants facilitating the fully symbolic analysis of probabilistic hybrid systems. Another major line of research deals with robust notions of system correctness, i.e. with the construction of correctness certificates which remain valid under the ubiquitous kinds of disturbances like, e.g., manufacturing tolerances or incomplete information. Fundamental research on these topics has mostly been pursued within large collaborative research projects, like the Transregional Collaborative Research Center SFB-TR 14 AVACS (Automatic Verification and Analysis of Complex Systems) or recently the Research Training Group DFG GRK 1765 SCARE (System Correctness under Adverse Conditions).