Igor M. Krichever
Publications21
- Article I. Krichever, A. Zabrodin. Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model // Letters in Mathematical Physics. 2022. Vol. 112. No. 2. Article 23. doi
- Article Krichever I. M., Zabrodin A. Kadomtsev–Petviashvili Turning Points and CKP Hierarchy // Communications in Mathematical Physics. 2021. Vol. 386. No. 3. P. 1643-1683. doi
- Article Krichever I. M., Lando S., Skripchenko A. Real-normalized differentials with a single order2 pole // Letters in Mathematical Physics. 2021. Vol. 111. No. 2. Article 36. doi
- Article Кричевер И. М., Грушевский С., Нортон Х. Вещественно-нормированные дифференциалы: пределы на стабильных кривых // Успехи математических наук. 2019. Т. 74. № 2(446). С. 81-148. doi
- Article А.В.Ильина, Кричевер И. М., Некрасов Н. Двумерные периодические операторы Шредингера, интегрируемые на «собственном» уровне энергии // Функциональный анализ и его приложения. 2019. Т. 53. № 1. С. 31-48. doi
- Article Ilina A., Krichever I. M. Triangular reductions of the 2D toda hierarchy // Functional Analysis and Its Applications. 2017. Vol. 51. No. 1. P. 48-65. doi
- Preprint Krichever I. M., Ilina A. Triangular reductions of 2D Toda hierarchy / arXiv:1609.05120. Series arXiv:1609.05120 "arXiv:1609.05120". 2016.
- Article Krichever I. M., Grushevsky S. Real-Normalized Differentials and the Elliptic 1 Calogero-Moser System // Complex Geometry and Dynamics, Abel Symposia. 2015. No. 10
- Article Кричевер И. М. Коммутирующие разностные операторы и комбинаторное преобразование Гэйла // Функциональный анализ и его приложения. 2015. Т. 49. № 3. С. 22-40.
- Book Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014 / Ed. by V. Buchstaber, B. Dubrovin, I. M. Krichever. Providence : American Mathematical Society, 2014. doi
- Chapter Krichever I. M., Schiota T. Soliton equations and the Riemann-Schottky problem, in: Handbook of Moduli Vol. II. Boston : International Press of Boston Inc, 2013.
- Article Кричевер И. М. Вещественно-нормированные дифференциалы и гипотеза Арбарелло // Функциональный анализ и его приложения. 2012. Т. 46. № 2. С. 37-51.
- Article Krichever I. M., Zakharov D. A note on critical points of integrals of soliton equations // Analysis and Mathematical Physics. 2011. Vol. 1. No. 1. P. 15-35.
- Chapter Krichever I. M., Shiota T. Abelian solutions of the soliton equations and geometry of abelian varieties, in: Liaison, Schottky Problem and Invariant Theory. Remembering Federico Gaeta. Basel : Birkhauser/Springer, 2010. P. 197-222.
- Article Krichever I. M. Characterizing Jacobians via trisecants of the Kummer variety // Annals of Mathematics. 2010. Vol. 172. No. 1. P. 485-516.
- Article Krichever I. M., Grushevsky S. Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants // Duke Mathematical Journal. 2010. Vol. 152. No. 2. P. 317-371.
- Chapter Krichever I. M., Grushevsky S. The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces, in: Surveys in Differential Geometry Vol. 14: Geometry of Riemann surfaces and their moduli spaces. International Press of Boston Inc, 2010. Ch. 4. P. 111-130.
- Chapter Krichever I. M., Shiota T. Abelian solutions of the KP equation, in: Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007 / Отв. ред.: I. M. Krichever, V. M. Buchstaber. American Mathematical Society, 2008. Ch. 9. P. 173-192.
- Book Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007 / Отв. ред.: I. M. Krichever, V. M. Buchstaber. American Mathematical Society, 2008.
- Article Krichever I. M., Phong D. On the scaling limit of a singular integral operator // Geometriae Dedicata. 2008. Vol. 132. No. 1. P. 121-134.
- Article Кричевер И. М. Абелевы решения солитонных уравнений и проблемы типа Римана–Шоттки // Успехи математических наук. 2008. Т. 63. № 6. С. 19-30.
Conferences
- 2019
International conference “The art of quantization” dedicated to 85th anniversary of L.D.Faddeev, May 27- June 1,2019, Saint Petersburg (Санкт-Петербург). Presentation: The Bethe ansatz equations and integrable system of particles
International conference Integrability in Gauge and String Theories 2019 (Стокголоьм). Presentation: The Bethe ansatz equations and integrable system of particles
- Representation Theory and Integrable systems (Цюрих). Presentation: The Bethe ansatz equations and integrable system of particles
International conference dedicated to the 100th anniversary of I. M. Khalatnikov "Quantum Fluids, Quantum Field Theory, and Gravity" (Черноголовка). Presentation: The Bethe ansatz equations and integrable system of particles
- 2018Совместный семинар по Математической физике НИУ ВШЭ и Центра перспективных исследований Сколтеха (Москва). Presentation: Изомонодромные уравнения на алгебраических кривых, канонические преобразования и уравнения Уизема
- Joint Seminar on Mathematical Physics of National Research University HSE and Skoltech Center for Advanced Studies (Moscow). Presentation: Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations
- International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday (Москва). Presentation: Linear operators with self-consistent potential
- Научно-практическая конференция «Успехи математики последнего десятилетия», посвященная 10-летию факультета математики НИУ ВШЭ (Москва). Presentation: Real Normalized Differentials: Degenerations and Applications
- International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday (Москва). Presentation: Critical points of Master functions and the Calogero-Moser system
- 2017International conference Landau days, June, 26-29 (Черноголовка). Presentation: Two-dimensional linear operators with self-consistent potentials
- 20144th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (Москва (Moscow)). Presentation: Degenerations of real normalized differentials
- 2013Ежегодная мемориальная конференция памяти Андрея Николаевича Тюрина (Москва). Presentation: Полевые аналоги систем Хитчина
HSE University Researchers to Speak at the International Congress of Mathematicians
The speakers of the International Congress of Mathematicians, a key global mathematics event held every four years by the International Mathematical Union, have been announced. The next ICM will take place in St. Petersburg, Russia, in July 2022. Five researchers from the HSE Faculty of Mathematics will present their papers at the congress.
First PhD at HSE Received under New Procedure
On May 22, the first thesis for an HSE PhD degree was defended. Following the new procedure, mathematician Pavlo Gavrylenko defended his thesis on isomonodromic deformations and quantum theory. This took place not before a big dissertation council, but a committee of experts in this particular field of mathematical physics.
Laureates of Golden HSE 2016
On December 20, 2016, the ZIL Cultural Centre hosted this year’s Golden HSE awards ceremony. This year saw several significant changes to the award rules: new nominations have appeared, many of them were divided into categories for different groups of employees — all to help ensure HSE was able to express its gratitude to a larger number of worthy candidates.
'The Winter School Is What Led to My Firm Decision to Go to HSE'
On February 4-8 of next year, the Faculty of Mathematics is hosting a Winter School at Voronovo, a special conference centre in the Moscow region with lodging and recreational facilities.