Evgeny Korotyaev
- Professor:HSE Campus in St. Petersburg / St. Petersburg School of Physics, Mathematics, and Computer Science / Department of Mathematics
- Evgeny Korotyaev has been at HSE University since 2021.
Education, Degrees and Academic Titles
- 1997
Doctor of Sciences*
- 1989Associate Professor
- 1976
Degree
Zhdanov Leningrad State University
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2023/2024)
- Methodology and Methods of Research in Mathematics (Postgraduate course’s programme; 1 year, 1 semester)Rus
- Past Courses
Courses (2021/2022)
- Qualification (Postgraduate course’s programme; 2 year, 1 semester)Rus
- Research Seminar (Postgraduate course’s programme; 2 year, 1, 2 semester)Rus
- Research Seminar (Postgraduate course’s programme; 1 year, 1, 2 semester)Rus
Publications31
- Article Korotyaev E., Mantile A., Mokeev D. Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line // SIAM Journal on Mathematical Analysis. 2024. Vol. 56. No. 2. P. 2115-2148. doi
- Article Korotyaev E. Discretization of inverse scattering on a half line // Mathematische Nachrichten. 2023. Vol. 296. No. 11. P. 5322-5345. doi
- Article Korotyaev E., Leonova E. A. Inverse resonance problem for Jacobi operators on half-lattice // Russian Journal of Mathematical Physics. 2023. Vol. 30. No. 3. P. 320-344. doi
- Article Korotyaev E., Mokeev D. Inverse resonance scattering for massless Dirac operators on the real line // Asymptotic Analysis. 2023. Vol. 132. No. 1-2. P. 83-130. doi
- Article Korotyaev E., Saburova N. Trace formulas for magnetic Schrodinger operators on periodic graphs and their applications // Linear Algebra and its Applications. 2023. Vol. 676. P. 395-440. doi
- Article Korotyaev E., Mokeev D. Dubrovin equation for periodic Dirac operator on the half-line // Applicable Analysis. 2022. Vol. 101. No. 1. P. 337-365. doi
- Preprint Korotyaev E., Леонова Е. О. Inverse problems for Jacobi operators with finitely supported perturbations / arXive. Series arXie "Statistical mechanics". 2022. doi
- Article Korotyaev E., Saburova N. Trace formulas for Schrodinger operators on periodic graphs // Journal of Mathematical Analysis and Applications. 2022. Vol. 508. No. 2. Article 125888. doi
- Article Korotyaev E., Saburova N. Two-sided estimates of total bandwidth for Schrodinger operators on periodic graphs // Communications on Pure and Applied Analysis. 2022. Vol. 21. No. 5. P. 1691-1714. doi
- Article Korotyaev E. Eigenvalues of Schrödinger operators on finite and infinite intervals // Mathematische Nachrichten. 2021. Vol. 294. No. 11. P. 2188-2199. doi
- Article Korotyaev, E. Eigenvalues of periodic difference operators on lattice octants // Journal of Mathematical Analysis and Applications. 2021. Vol. 500. No. 2. Article 125138. doi
- Article Badanin A., Korotyaev E. Hill's operators with the potentials analytically dependent on energy // Journal of Differential Equations. 2021. Vol. 271. P. 638-664. doi
- Article Evgeny Korotyaev, Mokeev D. Inverse resonance scattering for Dirac operators on the half-line // Analysis and Mathematical Physics. 2021. Vol. 11. Article 32. doi
- Article Korotyaev E., Isozaki H. Inverse resonance scattering on rotationally symmetric manifolds // Asymptotic Analysis. 2021. Vol. 125. No. 3-4. P. 347-363. doi
- Article Korotyaev Evgeny, Mokeev D. Periodic Dirac operator with dislocation // Journal of Differential Equations. 2021. Vol. 296. P. 369-411. doi
- Article Korotyaev, E., Moller J. Schrodinger operators periodic in octants // Letters in Mathematical Physics. 2021. Vol. 111. No. 2. Article 55. doi
- Article Коротяев Е. Л., Мокеев Д. С. Резонансы для оператора Дирака на полуоси // Функциональный анализ и его приложения. 2021. Т. 55. № 4. С. 91-94. doi
- Article Badanin A., Korotyaev E. Asymptotics of determinants of 4-th order operators at zero // Mathematische Nachrichten. 2020. Vol. 293. P. 210-225. doi
- Article Korotyaev E., Safronov O. Eigenvalue bounds for Stark operators with complex potentials // Transactions of the American Mathematical Society. 2020. Vol. 373. P. 971-1008. doi
- Article Korotyaev Evgeny, Saburova N. Invariants for Laplacians on periodic graphs // Mathematische Annalen. 2020. Vol. 337. P. 723-758. doi
- Article Isozaki H., Korotyaev Evgeny. Inverse spectral theory for perturbed torus // Journal of Geometric Analysis. 2020. Vol. 30. P. 4427-4452. doi
- Article Evgeny Korotyaev, Saburova N. Scattering on periodic metric graphs // Reviews in Mathematical Physics. 2020. Vol. 32. Article 2050024. doi
- Article E. Korotyaev. Trace Formulas for Schrödinger Operators with Complex Potentials // Russian Journal of Mathematical Physics. 2020. Vol. 27. P. 82-98. doi
- Article Evgeny Korotyaev. Trace formulas for Schrodinger operators with complex potentials on half-line // Letters in Mathematical Physics. 2020. Vol. 110. P. 1-20. doi
- Article Коротяев Е. Л., Слоущ В. Асимптотика и оценки дискретного спектра оператора Шредингера на дискретном периодическом графе // Алгебра и анализ. 2020. Т. 32. № 1. С. 12-39.
- Article Evgeny L. Korotyaev. Inverse Sturm-Liouville problems for non-Borg conditions // Journal of Inverse and Ill-posed problems. 2019. Vol. 27. No. 3. P. 445-452. doi
- Article E. L. Korotyaev. Inverse problems for finite vector-valued Jacobi operators / Пер. с рус. // Functional Analysis and Its Applications. 2019. Vol. 53. No. 3. P. 174-181. doi
- Article Korotyaev Evgeny L., Badanin A. Resonances of 4th order differential operators // Asymptotic Analysis. 2019. Vol. 111. P. 137-177. doi
- Article Evgeny L.Korotyaev. Resonances of third order differential operators // Journal of Mathematical Analysis and Applications. 2019. Vol. 478. No. 1. P. 82-107. doi
- Article Korotyaev Evgeny, Saburova N. Spectral estimates for Schrödinger operators on periodic discrete graphs // St Petersburg Mathematical Journal. 2019. Vol. 30. P. 667-698. doi
- Article Evgeny L. Korotyaev, Moller J. Weighted estimates for the Laplacian on the cubic lattice // Arkiv for Matematik. 2019. Vol. 57. No. 2. P. 397-428. doi
Conferences
1) 2020 Conference "Quantum Mechanics of Artificial
Material Structures" Sochi, Sirius Mathematics Center, February
16-22, 20202) SPb XXIX St. Petersburg Summer Meeting in Mathematical Analysis
Euler International Mathematical Institute, St. Petersburg, Russia
September 28 - October 1, 2020
3) Ufa, Math. School, 11--14 Nov. 2020.
4) Moscow The sixth international conference "Quasilinear
Equations, Inverse Problems and their Applications" will take place
online from November 30 to December 2, 2020Moscow Institute of Physics and Technology
- 2021Workshop on Perturbation of Spectral Bands and Gaps (Dortmund). Presentation: Estimates of spectral bands and spectral gaps
- The seventh international conference "Quasilinear Equations, Inverse Problems and their Applications" (Sochi). Presentation: Schrodinger operators periodic in octants
- 30-th St.Petersburg Summer Meeting in Mathematical Analysis (Санкт-Петербург). Presentation: Two-sided estimates of total bandwidth for Schrodinger operators on periodic graphs