# Eugenia Malinnikova

**Category: **Research Award Winners

**Affiliation: ** Malinnikova

The 2017 Clay Research Award was made to Eugenia Malinnikova and Aleksandr Logunov in recognition of their introduction of a novel geometric combinatorial method to study doubling properties of solutions to elliptic eigenvalue problems.

This has led to the solution of long-standing problems in spectral geometry, for instance the optimal lower bound on the measure of the nodal set of an eigenfunction of the Laplace-Beltrami operator in a compact smooth manifold (Yau and Nadirashvili’s conjectures).