Category: Research Fellows
Affiliation: University of Geneva
Aleksandr Logunov gained his PhD in 2015 under the supervision of Viktor Havin at the Chebyshev Laboratory, St Petersburg State University. After two years as a postdoctoral fellow at Tel-Aviv University, he moved to the Institute for Advanced Study at Princeton. He held his Clay Research Fellowship at Princeton University.
Together with Eugenia Malinnikova, he was given a Clay Research Award in 2017. The award recognised Logunov’s and Malinnikova’s introduction of a novel geometric combinatorial method to study doubling properties of solutions to elliptic eigenvalue problems. This 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).
Aleksandr was invited to speak on his work at the 2018 International Congress of Mathematicians in Rio. He was appointed as a Clay Research Fellow for a term of two years beginning 1 July 2018.