modern vs current

modern and current both are nouns.

Word	Noun	Adjective	Verb	Adverb
modern	Yes	Yes	No	No
current	Yes	Yes	No	No

modern (noun)	current (noun)
a typeface (based on an 18th century design by Gianbattista Bodoni) distinguished by regular shape and hairline serifs and heavy downstrokes	a steady flow of a fluid (usually from natural causes)
a contemporary person	dominant course (suggestive of running water) of successive events or ideas
	a flow of electricity through a conductor

modern (adjective)	current (adjective)
belonging to the modern era; since the Middle Ages	occurring in or belonging to the present time
relating to a recently developed fashion or style
characteristic of present-day art and music and literature and architecture
ahead of the times