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The MAgnetized Disk and Mirror Axion eXperiment (MADMAX) is a future experiment aiming to detect dark matter axions from the galactic halo by resonant conversion to photons in a strong magnetic field. It uses a novel concept based on a stack of dielectric disks, called booster, to enhance the potential signal from axion-photon conversion over a significant mass range. In its final version, MADMAX will scan the uncharted QCD axion mass range around 100 mu-eV, favoured by post-inflationary theories. Several small scale prototypes have been tested these last three years, allowing to validate the dielectric haloscope novel concept and perform competitive axion and dark photon dark matter searches. The seminar will give an overview of these results. The next foreseen steps will also be discussed, as well as the french contributions to the MADMAX project.