[5] Marković was educated at the University of Belgrade where he was awarded a Bachelor of Science degree in 1995 and a PhD in 1998.

Marković's research interests are in low-dimensional geometry, topology and dynamics and functional and geometric analysis.

[2] His nomination reads: Markovic is a world leader in the area of quasiconformal homeomorphisms and low dimensional topology and geometry.

With Jeremy Kahn, he proved William Thurston's key conjecture that every closed hyperbolic 3-manifold contains an almost geodesic immersed surface.

In Fall of 2015 Marković worked as an Institute for Advanced Study member.