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The phrase "a first author" is correct and usable in written English.
It is typically used in academic or research contexts to refer to the primary contributor to a publication or paper.
Example: "In the recent study, Dr. Smith served as a first author, leading the research team and writing the manuscript."
Alternatives: "the lead author" or "the primary author".
Exact(32)
I published a first author paper and received academic awards for my novel science.
She has co-authored over a dozen peer-reviewed publications, five of which she serves as a first author.
By the fourth or fifth year, graduate students are expected to submit a first author paper for publication.
Leading this effort was Felix Sanchez-Garecenta recent PhD graduate from the Pe'er Lab and a first author on the paper.
Lilan Hong, a first author of the paper and a postdoctoral researcher in Roeder's lab, looked for mutant Arabidopsis plants with sepals of irregular size and shape.
I played an important role in prominent GWAS meta-analyses of self-reported sleep duration, including a first author CARe Consortium project that uncovered potential pleiotropy with an external schizophrenia GWAS.
Similar(28)
A third author adjudicated disagreements.
A third author created a categorization scheme for comments.
They've now taken on a third author.
Where discrepancies arose, decisions were referred to a third author for arbitration.
Disagreements were resolved by discussion and consultation with a third author until consensus was reached.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com