Logunov received his Candidate of Sciences (PhD) in 2015 from the Saint Petersburg State University under Viktor Petrovich Havin (Виктор Петрович Хавин, 1933–2015) with thesis (О граничных свойствах гармонических функций, On boundary properties of harmonic functions).[1] He works at the Chebyshev Mathematics Laboratory of the Saint Petersburg State University and at the University of Tel Aviv.
Logunov received, jointly with Eugenia Malinnikova, the 2017 Clay Research Award for their introduction of novel geometric-combinatorial methods for the study of elliptic eigenvalue problems.[2] 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[3] and in 2020 the EMS Prize of the European Mathematical Society.[4] For 2021 he received the Breakthrough Prize in Mathematics – New Horizons in Mathematics.[5]
Selected publications
Logunov, Alexander (2018). "Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure". Annals of Mathematics. 187 (1): 221–239. arXiv:1605.02587. doi:10.4007/annals.2018.187.1.4. S2CID 119170110.
with Eugenia Malinnikova: Logunov, Alexander; Malinnikova, Eugenia (2016). "Ratios of harmonic functions with the same zero set". Geometric and Functional Analysis. 26 (3): 909–925. arXiv:1506.08041. doi:10.1007/s00039-016-0369-4.
Logunov, Alexander (2018). "Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture". Annals of Mathematics. 187 (1): 241–262. arXiv:1605.02589. doi:10.4007/annals.2018.187.1.5. S2CID 119176697.
with Eugenia Malinnikova: Logunov, Alexander; Malinnikova, Eugenia (2018). "Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three". 50 Years with Hardy Spaces. Operator Theory: Advances and Applications. Vol. 261. pp. 333–344. arXiv:1605.02595. doi:10.1007/978-3-319-59078-3_17.
^"8th European Congress of Mathematics". 8th European Congress of Mathematics.
^"Breakthrough Prize – Winners Of The 2021 Breakthrough Prizes In Life Sciences, Fundamental Physics And Mathematics Announced". breakthroughprize.org.
External links
mathnet.ru
March 29, 2023
aleksandr, logunov, mathematician, aleksandr, andreyevich, logunov, russian, Александр, Андреевич, Логунов, december, 1989, russian, mathematician, specializing, harmonic, analysis, potential, theory, geometric, analysis, logunov, received, candidate, sciences. Aleksandr Andreyevich Logunov Russian Aleksandr Andreevich Logunov 5 December 1989 is a Russian mathematician specializing in harmonic analysis potential theory and geometric analysis Logunov received his Candidate of Sciences PhD in 2015 from the Saint Petersburg State University under Viktor Petrovich Havin Viktor Petrovich Havin 1933 2015 with thesis O granichnyh svojstvah garmonicheskih funkcij On boundary properties of harmonic functions 1 He works at the Chebyshev Mathematics Laboratory of the Saint Petersburg State University and at the University of Tel Aviv Logunov received jointly with Eugenia Malinnikova the 2017 Clay Research Award for their introduction of novel geometric combinatorial methods for the study of elliptic eigenvalue problems 2 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 3 and in 2020 the EMS Prize of the European Mathematical Society 4 For 2021 he received the Breakthrough Prize in Mathematics New Horizons in Mathematics 5 Selected publications EditLogunov Alexander 2018 Nodal sets of Laplace eigenfunctions polynomial upper estimates of the Hausdorff measure Annals of Mathematics 187 1 221 239 arXiv 1605 02587 doi 10 4007 annals 2018 187 1 4 S2CID 119170110 with Eugenia Malinnikova Logunov Alexander Malinnikova Eugenia 2015 On ratios of harmonic functions Advances in Mathematics 274 241 262 arXiv 1402 2888 doi 10 1016 j aim 2015 01 009 with Eugenia Malinnikova Logunov Alexander Malinnikova Eugenia 2016 Ratios of harmonic functions with the same zero set Geometric and Functional Analysis 26 3 909 925 arXiv 1506 08041 doi 10 1007 s00039 016 0369 4 Logunov Alexander 2018 Nodal sets of Laplace eigenfunctions proof of Nadirashvili s conjecture and of the lower bound in Yau s conjecture Annals of Mathematics 187 1 241 262 arXiv 1605 02589 doi 10 4007 annals 2018 187 1 5 S2CID 119176697 with Eugenia Malinnikova Logunov Alexander Malinnikova Eugenia 2018 Nodal sets of Laplace eigenfunctions estimates of the Hausdorff measure in dimensions two and three 50 Years with Hardy Spaces Operator Theory Advances and Applications Vol 261 pp 333 344 arXiv 1605 02595 doi 10 1007 978 3 319 59078 3 17 References Edit Aleksandr Logunov at the Mathematics Genealogy Project Aleksandr Logunov and Eugenia Malinnikova Clay Mathematics Institute www claymath org Salem Prize 2018 8th European Congress of Mathematics 8th European Congress of Mathematics Breakthrough Prize Winners Of The 2021 Breakthrough Prizes In Life Sciences Fundamental Physics And Mathematics Announced breakthroughprize org External links Editmathnet ru Retrieved from https en wikipedia org w index php title Aleksandr Logunov mathematician amp oldid 1122935102, wikipedia, wiki, book, books, library,
