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| Evgeny L. Korotyaev | |
|---|---|
| Name | Evgeny L. Korotyaev |
| Birth date | 1966 |
| Birth place | Moscow, Soviet Union |
| Nationality | Russian |
| Fields | Mathematical physics, Spectral theory, Differential equations |
| Workplaces | Moscow State University, St. Petersburg State University, Steklov Mathematical Institute |
| Alma mater | Moscow State University |
| Doctoral advisor | Mikhail Birman |
| Known for | Inverse spectral theory, Resonance theory, Periodic operators |
Evgeny L. Korotyaev is a Russian mathematician known for contributions to spectral theory, inverse problems, and mathematical physics. He has held positions at major Russian institutions and collaborated with researchers across Europe and North America. His work connects operator theory, partial differential equations, and complex analysis, influencing studies in quantum mechanics and integrable systems.
Born in Moscow in 1966, Korotyaev studied at Moscow State University where he completed undergraduate and graduate work under the supervision of Mikhail Sh. Birman. He earned a Ph.D. specializing in spectral analysis and operator theory, building on traditions from the Steklov Institute of Mathematics, the Russian Academy of Sciences, and the Moscow school associated with Israel Gelfand, Mark Krein, and Mikhaĭl S. Birman. During his formative years he interacted with visitors from Université Paris-Sud, ETH Zurich, and University of Cambridge.
Korotyaev has held research and faculty roles at Moscow State University, the St. Petersburg State University, and the Steklov Mathematical Institute of the Russian Academy of Sciences. He has been a visiting scholar at institutions including University of Oxford, University of California, Berkeley, Université Paris-Sud (Paris XI), Institut Mittag-Leffler, and SISSA. He served on committees linked to the Russian Mathematical Society and participated in programs of the European Mathematical Society and the International Mathematical Union. He has collaborated with scholars from Harvard University, Princeton University, University of Toronto, and ETH Zurich.
Korotyaev made key advances in inverse spectral theory for one-dimensional Schrödinger operators with periodic and quasi-periodic potentials, building on foundational work by Franz Rellich, Vladimir A. Marchenko, Lev D. Faddeev, and Boris M. Levitan. He developed novel reconstruction algorithms for potentials from spectral data, extending results of Trubowitz and McKean in the theory of finite-gap operators. His research on resonances for Schrödinger operators complements studies by D. R. Yafaev, Israel Michael Sigal, and Alexander Pushnitski. He established trace formulas and spectral inequalities related to the works of Titchmarsh, G. Borg, and Harold Widom. Korotyaev's contributions to periodic operators and Hill's equation relate to classical results by G. Floquet and modern developments by Thomas Kappeler and Peter Lax. He investigated scattering theory and inverse problems in the spirit of Mark Ablowitz and Claude S. Gardner, connecting to integrable systems like the Korteweg–de Vries equation and methods from algebraic geometry used by Igor Krichever and Boris Dubrovin. His studies on spectral gaps, stability zones, and conformal mappings drew on tools associated with Riemann, Carl Ludwig Siegel, and techniques used by Lev Pontryagin in operator theory.
Korotyaev received recognition from Russian and international bodies, including prizes associated with the Russian Academy of Sciences and accolades from the Moscow Mathematical Society. He was awarded grants from the Russian Science Foundation and participated in programs funded by the European Research Council and national science agencies. He is a member of the Russian Mathematical Union and a fellow or external member of committees connected to the International Mathematical Union and the European Mathematical Society.
Korotyaev authored numerous articles in leading journals such as Communications in Mathematical Physics, Journal of Functional Analysis, Annales de l'Institut Henri Poincaré, and Inventiones Mathematicae. He coauthored papers with researchers from Scuola Normale Superiore, University of Cambridge, University of Bonn, and Max Planck Institute for Mathematics. He served on editorial boards for journals tied to the Steklov Mathematical Institute, Russian Mathematical Surveys, and international periodicals associated with Springer and Elsevier. Notable works address inverse problems for Sturm–Liouville operators, resonance distribution for multi-dimensional operators, and spectral theory of discrete and continuous periodic operators.
In his academic roles at Moscow State University and St. Petersburg State University, Korotyaev supervised doctoral students who went on to positions at institutions such as Humboldt University of Berlin, Imperial College London, and University of Oxford. He taught advanced courses on spectral theory, operator theory, and mathematical methods in physics, often presenting at summer schools organized by Centre International de Recherches Mathématiques (CIRM), Mathematical Sciences Research Institute (MSRI), and Institut Mittag-Leffler. His mentorship connected younger researchers with networks including European American Mathematical Society initiatives and workshops at the Clay Mathematics Institute.
Korotyaev has participated in conference organization for events like the International Congress of Mathematicians satellite meetings, workshops at Mathematical Congress of the Americas, and seminars at the Steklov Institute. He contributed to outreach through public lectures tied to Moscow State University colloquia and collaborative programs with scientific museums and cultural institutions in Moscow and St. Petersburg. Outside academia he maintains connections with research communities across Europe and North America, supporting exchange programs with universities such as University of Paris, University of Milan, and ETH Zurich.
Category:Russian mathematicians Category:Mathematical physicists Category:Spectral theory