Aleksandr Andreyevich Logunov ( Russian: Александр Андреевич Логунов, 5 December 1989) is a Russian mathematician, specializing in

harmonic analysis Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an e ...

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gra ...

, and geometric analysis. Logunov received his

Candidate of Sciences Candidate of Sciences (russian: кандидат наук, translit=kandidat nauk) is the first of two doctoral level scientific degrees in Russia and the Commonwealth of Independent States. It is formally classified as UNESCO's ISCED level 8, " ...

(PhD) in 2015 from the

Saint Petersburg State University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...

under Viktor Petrovich Havin (Виктор Петрович Хавин, 1933–2015) with thesis (О граничных свойствах гармонических функций, ''On boundary properties of harmonic functions''). He works at the Chebyshev Mathematics Laboratory of the Saint Petersburg State University and at the

University of Tel Aviv Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Loc ...

. Logunov received, jointly with

Eugenia Malinnikova Eugenia Malinnikova (born 23 April 1974) is a mathematician, winner of the 2017 Clay Research Award which she shared with Aleksandr Logunov "in recognition of their introduction of a novel geometric combinatorial method to study doubling properti ...

, the 2017 Clay Research Award for their introduction of novel geometric-combinatorial methods for the study of elliptic eigenvalue problems. He proved, among other results, an estimate (from above) for Hausdorff measures on the zero sets of Laplace eigenfunctions defined on compact smooth manifolds and an estimate (from below) in harmonic analysis and differential geometry that proved conjectures by Shing-Tung Yau and Nikolai Nadirashvili. In 2018 he received the

Salem Prize The Salem Prize, in memory of Raphael Salem, is awarded each year to young researchers for outstanding contributions to the field of analysis. It is awarded by the School of Mathematics at the Institute for Advanced Study in Princeton and was fo ...

and in 2020 the EMS Prize of the

European Mathematical Society The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current ...

. For 2021 he received the Breakthrough Prize in Mathematics – New Horizons in Mathematics.

Selected publications

* * with

: * with Eugenia Malinnikova: * * with Eugenia Malinnikova:

References

External links

mathnet.ru
{{DEFAULTSORT:Logunov, Aleksandr (mathematician) Living people Saint Petersburg State University alumni Differential geometers 21st-century Russian mathematicians Year of birth missing (living people)