Kivelson completed her PhD thesis "
Bremsstrahlung of High Energy
Electrons' in 1957. Her thesis provided an expression for the cross section of forward
scattering to all orders in the
Coulomb interaction. From 1955 to 1971 Kivelson worked as a consultant in physics at the
RAND Corporation based in
Santa Monica, California. There she researched the interactions of
plasmas and
electron gases using mathematical techniques similar to those in
quantum electrodynamics. Working with Don DuBois, they derived a correction to
Landau's relation for the damping excitations of unmagnetized plasma. For 1965-1966, Kivelson took a leave from RAND to join her husband's sabbatical leave in Boston. Through a fellowship from the
Radcliffe Institute for Advanced Study, Kivelson was able to conduct scientific research in a university setting at
Harvard and
MIT. Motivated by her experiences in academia through the Radcliffe Institute, Kivelson joined
UCLA in 1967 as an assistant research
geophysicist. Kivelson quickly climbed through the ranks within the geophysics and
space physics community becoming a full professor at UCLA's department of earth and space sciences in 1980. She chaired the department of earth and space sciences from 1984 to 1987 and from 1999 to 2000. From 1977 to 1983 Kivelson served on the board of overseers at Harvard College as well as
NASA's advisory council from 1987 to 1993, the
National Research Council's Committee on Solar-Terrestrial Research from 1989 to 1992, and co-chaired the UCLA Academic Faculty Senate's Committee on Gender Equality issues from 1998 to 2000. In 2009 she became a distinguished professor of space physics, emerita and in 2010 she also took a position as a research professor at the
University of Michigan. ==Scientific contributions==