[1] She was formerly Chair and Chief Executive Officer of E. I. du Pont de Nemours and Company ("DuPont") in Wilmington and is a former director of General Motors.

[4] Kullman attended Tower Hill School in Wilmington and then studied mechanical engineering at Tufts University, where she received her bachelor's degree in 1978.

[4][5] In her later role as executive vice president she was responsible for four of DuPont's business platforms as well as for leading the company's growth in markets outside the USA.

[14] On October 30, 2009, DuPont announced that its board of directors had elected Kullman as Chair of the company effective December 31, 2009.

Peltz sought 4 board seats and argued that DuPont needed to cut costs and meet financial targets, but had lost a shareholder vote earlier in the year.

[29] DuPont incurred environmental liabilities[30] as a result of contaminating drinking water with Perfluorooctanoic acid, a chemical which is harmful to humans and the environment, and is known to be the cause of multiple diseases in humans and animals, including cancers and birth defects,[31] and has resulted in cancer in 2,507 individuals living in Wood County, West Virginia.

[32] On March 26, 2018, Kullman's alma mater Tufts University announced they would be awarding her an honorary degree.