[1] She then shifted to pure mathematics for her doctoral studies, completing her Ph.D. at Michigan State in 1982, the same year she joined the Bucknell Faculty.
[1] With Ulrich Daepp, Gorkin is the author of the undergraduate textbook Reading, Writing, and Proving: A Closer Look at Mathematics (Springer, 2003; 2nd ed., 2011).
[3] With Daepp, Andrew Shaffer, and Karl Voss, she is the author of Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other (Carus Mathematical Monographs, MAA Press, 2018).
The book studies a connection between Blaschke products, Poncelet's closure theorem, and the numerical range of matrices.
These triples of preimages form triangles that are all inscribed in the unit circle, and (it turns out) they all circumscribe an ellipse.