Aleksandr Andreyevich Logunov (

Russian Russian(s) may refer to: *Russians (), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *A citizen of Russia *Russian language, the most widely spoken of the Slavic languages *''The Russians'', a b ...

: Александр Андреевич Логунов, 5 December 1989) is a Russian mathematician, specializing in

harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...

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 the two fundamental forces of nature known at the time, namely g ...

, and

geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of ...

. Logunov received his

Candidate of Sciences A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is ...

(PhD) in 2015 from the

Saint Petersburg State University Saint Petersburg State University (SPBGU; ) is a public research university in Saint Petersburg, Russia, and one of the oldest and most prestigious universities in Russia. Founded in 1724 by a decree of Peter the Great, the university from the be ...

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) is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Located in northwest Tel Aviv, the university is the center of teaching and research of the ci ...

. Logunov received, jointly with Eugenia Malinnikova, the 2017

Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievements in mathematical research. The following mathematicians have received the award: See als ...

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 Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and professor emeritus at Harvard University. Until 2022, Yau was the William Caspar ...

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 fou ...

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 curren ...

. For 2021 he received the

Breakthrough Prize in Mathematics The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013. It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Prize ...

– New Horizons in Mathematics.

Selected publications

* * with Eugenia Malinnikova: * 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)