In 1993, Marković earned a Bachelor of Science in Physics from the University of Zagreb under advisor Boran Leontić.
[1] From 1998 to 2000, Marković conducted postdoctoral research at Delft University of Technology with Herre van der Zant and Hans Mooij (de).
[2] Marković joined the faculty at Johns Hopkins University as an assistant professor of physics and astronomy in 2003.
[4] She won a $500,000 National Science Foundation CAREER Award to pursue research on electrical properties in nanometer scale materials in 2006.
[5] In the fall of 2015, Marković joined the Goucher College Department of Physics and Astronomy as an associate professor in 2015.