This project is dedicated to the development of ultrafast radiation detectors for medicine and high energy physics. Positron emission tomography (PET) scanners are among the most efficient tools for the identification of tumors in the human body. However, the temporal resolution with PET is poor compared to other methods and is limited by both the technique and the metabolism of the tracer molecule. PET is based on the injection of radiopharmaceutical into patient’s body, which accumulates in tumors and generates γ-quanta. The tumor location is determined by the time of flight of the γ-quanta to detectors located in opposite directions. If the timing resolution is too low, uncorrelated particles are also collected within each interval, creating false readings. In conventional PET scanners with a time resolution of ~500 ps, the imprecision in the localization of the event is ~7.5 mm. To increase PET sensitivity, more precise timing information of the detected γ-quanta is needed, enabling a more detailed picture of the disease site by enhancing the signal to noise ratio of the image. According to the estimations, a time resolution of ~10 ps is necessary to provide a spatial resolution of 1-2 mm.