0_5503 A measurement in transmission electron microscopy can be described as a projection, onto an appropriate quantum basis, of the quantum state of an electron after scattering through a sample.We recently developed an electron-optical setup for measuring the orbital angular momentum (OAM) of an electron beam, which is referred to as an OAM sorter. The device makes use of a structured, tunable electrostatic field to create an electron wavefront phase plate. Its alignment and operation are optimised using approaches based on artificial intelligence. The revolutionary character of the OAM sorter is its ability to perform a unitary transformation and to provide a measurement in a defined basis.Here, we describe ongoing experiments and applications of our OAM sorter device. A first example is its ability to measure the “planar chirality” of an object, which is of interest for improving coherent imaging in many scientific fields, from visible light optics to astronomy. A second example is its combination with electron energy-loss spectroscopy in both the low loss and the core loss regime. A third example involves its combination with experiments that involve electron-light interactions.