Complex sentence: Best known as a playwright, Mamet won a Pulitzer Prize and received Tony nominations for "Glengarry Glen Ross" (1984) and "Speed-the-Plow" (1988).
Split into simpler sentences: Best known as a playwright, Mamet won a Pulitzer Prize and received a Tony nomination for "Glengarry Glen Ross" (1984). He also received a Tony nomination for "Speed-the-Plow" (1988).