Her current research focuses on the molecular networks controlling dynamic chromosome behaviors during cell development which endure genome stability.

In 1979 Meyer began postdoctoral research at the MRC Laboratory of Molecular Biology,[4] studying how chromosomes determine sex at the laboratory of Sydney Brenner, who later won a Nobel Prize for establishing the nematode worm Caenorhabditis elegans as an important model organism for research on development.

A popular hypothesis when Meyer began her postdoctoral work was that the worms compensate for the difference in the number of copies of genes on the X chromosome between the two sexes.

In 1990, Meyer and her husband Tom Cline gave up their tenured positions (she at MIT, he at Princeton) -she accepted a full faculty appointment at the University of California, Berkeley.

This honor is given in recognition of her groundbreaking work on chromosome behaviors that govern gene expression, development, and heredity.