She is a full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland.

[6] Viazovska earned a master's from the University of Kaiserslautern in 2007, PhD from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2010,[2] and a doctorate (Dr. rer.

Her doctoral dissertation, Modular Functions and Special Cycles, concerns analytic number theory and was supervised by Don Zagier and Werner Müller.

[15][10] Previously, the problem had been solved only for three or fewer dimensions, and the proof of the three-dimensional version (the Kepler conjecture) involved long computer calculations.

[10] A few years later, in 2018, Viazovska and her collaborators significantly extended[16] their sphere packing results in dimensions 8 and 24 to address potential energy minimization.

As well as for her work on sphere packing, Viazovska is also known for her research on spherical designs with Bondarenko and Radchenko.

This result was one of the contributions for which her co-author Andriy Bondarenko won the Vasil A. Popov Prize for approximation theory in 2013.