Dorian Morris Goldfeld (born January 21, 1947) is an American mathematician working in analytic number theory and automorphic forms at Columbia University.

His doctoral dissertation, entitled "Some Methods of Averaging in the Analytical Theory of Numbers", was completed under the supervision of Patrick X. Gallagher in 1969, also at Columbia.

In his thesis,[10] he proved a version of Artin's conjecture on primitive roots on the average without the use of the Riemann Hypothesis.

In 1976, Goldfeld provided an ingredient for the effective solution of Gauss's class number problem for imaginary quadratic fields.

[11] Specifically, he proved an effective lower bound for the class number of an imaginary quadratic field assuming the existence of an elliptic curve whose L-function had a zero of order at least 3 at

His work on the Birch and Swinnerton-Dyer conjecture includes the proof of an estimate for a partial Euler product associated to an elliptic curve,[12] bounds for the order of the Tate–Shafarevich group.

[14] He has also made contributions to the understanding of Siegel zeroes,[15] to the ABC conjecture,[16] to modular forms on