A recent article in Bild der Wissenschaft (a German popular science magazine, along the lines of Scientific American in the U.S.) features a semi-popular summary of research on Quantum Geometry and its application to Loop Quantum Gravity, carried out by Abhay Ashtekar and his group at Penn State. Specifically it describes how quantum geometry has led to solutions to some of the fundamental problems on the nature of big-bang and black holes in quantum gravity. Interwoven in the article is a portrait of Ashtekar as a scientist. Since the article is in German, here also is a link to semi-popular discussion of quantum geometry in English.
More about Quantum Gravity Featured in Bild der Wissenschaft.