"further advances in" is a correct and usable phrase in written English.
You can use it to refer to progress in a particular area or field. For example, "further advances in technology have made life more efficient and convenient."
His studies on Banach algebras and infinite-dimensional representations of Lie groups have become standard fare in advanced textbooks, and essential background for further advances in the fields.
Further advances in this area are expected.
Further advances in technology, combined with the game's winking culture toward espionage, promise to confuse matters.
With further advances in wheelchair technology they will continue to do at this Paralympics and for many more to come.
The 1920s witnessed further advances in nuclear physics with Rutherford's discovery of induced radioactivity.
This method permitted further advances in the study and development of aromatic (benzene-derived) compounds.
Our Bench Legislation Project made further advances in eliminating obstacles to full corporate funding of political campaigns.
Long-distance gas transmission became practical during the late 1920s because of further advances in pipeline technology.
At this stage, further advances in flexibility were now subtle to the point of being undetectable without extremely precise daily record-keeping.
The latest attack came as the Pakistani Army said it had made further advances in its campaign against the Pakistani Taliban, now in its third week.
Iraqi forces have made further advances in their fightback against jihadis, while hundreds of people have stormed parliament over the fate of missing soldiers who surrendered in June.
