People who study ancient hieroglyphs are known as Epigraphers. They practice epigraphy. Glyphs is an abbreviation of hieroglyphs. Often they are misnamed as hieroglyphics. Human languages are always enjoyable to study.
Many people have a hobby to study precolumbian Mayan hieroglyphs.
Linguistics is the field of study of language, linguists are the specialists who do this. In the last few years people have focused intensely on deciphering the Primary Standard Sequence of glyphs on polychrome Maya vases. The main form of hieroglyphic writing was probably in codices. Other aspects of Maya civilization which attract study are their music. The ancient Maya had ocarinas, whistles of a variety of kinds, and wind instruments.