Ilya Schurov

Associate Professor:Independent HSE Departments / Department of Higher Mathematics
Associate Professor:Faculty of Mathematics
Senior Research Fellow:Linguistic Convergence Laboratory

Ilya Schurov has been at HSE University since 2010.

Education and Degrees

2010
Candidate of Sciences* (PhD) in Differential Equations, Dynamic Systems and Optimal Control
Lomonosov Moscow State University
Thesis Title: Canard solutions in slow-fast systems on the two-torus
2009
Doctoral programme in Mathematics
Lomonosov Moscow State University, Department of Mechanics and Mathematics
2006
Degree in Mathematics
Lomonosov Moscow State University, Department of Mechanics and Mathematics

* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.

Professional Interests

dynamical systems bifurcations slow-fast systems machine learning and data analysis Topological data analysis

Awards and Accomplishments

Best Teacher – 2021, 2020, 2019, 2018, 2017, 2016, 2014, 2012

Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2013-2014)
Category "New Lecturers" (2011-2012)

Courses (2021/2022)

Applied Differential Equations (Bachelor’s programme; Faculty of Computer Science; 3 year, 1, 2 module)Rus
Calculus 1 (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
Data Science (Bachelor’s programme; Faculty of Economic Sciences; 2 year, 3, 4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Economic Sciences; 3 year, 3, 4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Economic Sciences; 4 year, 3, 4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Economic Sciences; 2 year, 3, 4 module)Rus
Linguistic Data: Quantitative Analysis and Visualisation (Master’s programme; Faculty of Humanities; 1 year, 3, 4 module)Eng
Machine Learning (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Past Courses

Courses (2020/2021)

Calculus 1 (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
Data Science (Bachelor’s programme; Faculty of Economic Sciences; 2 year, 3, 4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Economic Sciences; 3 year, 3, 4 module)Rus
Linguistic Data: Quantitative Analysis and Visualisation (Master’s programme; Faculty of Humanities; 1 year, 3, 4 module)Eng
Machine Learning (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus

Dynamical systems and differential equations: slow-fast systems and relaxation oscillations, bifurcations.

Machine learning: geometrical and topological aspects of data analysis.

Publications

Articles and book chapters¹³

Article Daniel M., Koshevoy A., Schurov I., Dobrushina N. Can recall data be trusted? Evaluating reliability of interview data on traditional multilingualism in highland Daghestan // Field Methods. 2022
Article Dagaev D., Schurov I. Bachet's game with lottery moves // Discrete Mathematics. 2020. Vol. 343. No. 4. Article 111704. doi
Article Daniel M., von Waldenfels R., Ter-Avanesova A., Kazakova P., Schurov I., Gerasimenko E., Игнатенко Д. И., Махлина Е. Н., Tsfasman M., Verhees S., Vinyar A., Zhigulskaya V., Ovsjannikova M., Say S., Dobrushina N. Dialect loss in the Russian North: modeling change across variables // Language Variation and Change. 2019. Vol. 31. No. 3. P. 353-376. doi
Article Yu. Ilyashenko, Kudryashov Y., I. Schurov. Global bifurcations in the two-sphere: a new perspective // Inventiones Mathematicae. 2018. Vol. 213. No. 2. P. 461-506. doi
Article Schurov I., Solodovnikov N. Duck Factory on the Two-Torus: Multiple Canard Cycles Without Geometric Constraints // Journal of Dynamical and Control Systems. 2017. Vol. 23. No. 3. P. 481-498. doi
Chapter Schurov I. qqmbr and indentml: Extensible Mathematical Publishing for Web and Paper, in: DocEng '17 Proceedings of the 2017 ACM Symposium on Document Engineering. NY : ACM, 2017. P. 121-124. doi
Article V. Kleptsyn, Schurov I., A. Okunev, Zubov D., Katsnelson M. I. Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene // Physical Review B: Condensed Matter and Materials Physics. 2015. Vol. 92. No. 16. P. 165407. doi
Article Филимонов Д. А., Щуров И. В., Глуцюк А. А., Клепцын В. А. О квантовании перемычек в уравнении, моделирующем эффект Джозефсона // Функциональный анализ и его приложения. 2014. Т. 48. № 4. С. 47-64.
Article Ромаскевич О. Л., Клепцын В. А., Щуров И. В. Эффект Джозефсона и быстро-медленные системы // Наноструктуры. Математическая физика и моделирование. 2013. Т. 8. № 1. С. 31-46.
Article Schurov I. Duck farming on the two-torus: multiple canard cycles in generic slow-fast systems // Discrete and Continuous Dynamical Systems. 2011. Vol. Supplement 2011. P. 1289-1298.
Article Schurov I. Ducks on the torus: existence and uniqueness // Journal of Dynamical and Control Systems. 2010. Vol. 16. No. 2. P. 267-300.
Article Щуров И. В. Уточные циклы в типичных быстро-медленных системах на торе // Труды Московского математического общества. 2010. № 71. С. 200-234.
Article Каледа П. И., Щуров И. В. Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах // Алгебра и анализ. 2010. Т. 22. № 4. С. 57-75.

Working papers⁵

Preprint Dagaev D., Schurov I. Bachet's game with lottery moves / Cornell University. Series math "arxiv.org". 2019.
Preprint Ilyashenko Y., Kudryashov Y., Schurov I. An open set of structurally unstable families of vector fields in the two-sphere / Cornell University. Series math "arxiv.org". 2015. No. 1506.06797.
Preprint V. Kleptsyn, A. Okunev, I. Schurov, Zubov D., Katsnelson M. I. Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene / Cornell University. Series math "arxiv.org". 2015. No. 1507.07638.
Preprint Ilya Schurov, Nikita Solodovnikov. Duck factory on the two-torus: multiple canard cycles without geometric constraints / Cornell University. Series math "arxiv.org". 2014. No. 1405.3251.
Preprint Glutsyuk A., Filimonov D., Kleptsyn V., Schurov I. On the adjacency quantization in the equation modelling the Josephson effect / Cornell University. Series math "arxiv.org". 2013. No. 1301.7159.

Grants

Individual projects

Dynasty Foundation grant for young mathematicians 2012.
Individual research project №12-01-0227 Dynamics of Josephson junction and slow-fast systems on the two-torus, Academic Fund Program, 2013/2014 гг.

Individual research project №11-01-0239 «Invariant manifolds and asymptotic behaviour of slow-fast mappings», Academic Fund Program, 2012/2013 гг.

Principal investigator

Grant of President of Russia МК-7567.2013.1 "Limit sets in slow-fast systems, interval exchange maps and skew products" (2013-2014).
RFBR 12-01-31241 «Partial hyperbolic and slow-fast systems: stable effects, bifurcations and applications» (2012-13)

Participant of the projects

RFBR 13-01-00969: Attractors of dynamical systems and relaxation oscillations
RBFR 10-01-00739-а: «Attractors, bifurcations and slow-fast systems» (2010 — 2012; PI: Yulij Ilyashenko)
RFBR-CNRS 10-01-93115 «Polynomical vector fields and holomorphic foliations» (2010 — 2012; PI: Yulij Ilyashenko)
Grant of President of Russia МК-2790.2011.1: «Topological and symbolic models for one-dimensional and multidimensional dynamical systems» (2011 — 2012; PI: Vladlen Timorin)

Employment history

2005 — 2009: Computerra Weekly, editor / senior editor.

2010 — present time: HSE University, associate professor, Department of Higher Mathematics.

2018 — 2019: HSE University, senior research fellow, Laboratory of Sports Studies.

2020 — present time: HSE University, senior reserach fellow, Linguistic Convergence Laboratory.

About: hobbies

Former senior editor in Computerra Weekly, Russian hi-tech and sci-pop weekly magazine.
Free Software user and advocate.
Wikipedia editor, former administrator and former member of ArbCom (Russian Wikipedia).
Election observer volunteer.
Wannabe photographer.
Backpacker.

Timetable for today

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Full timetable

Jan

2021

Lemons, Magic and Computer Vision

Alexey Tolkachev, a student of the Master of Data Science online programme, a leading data analyst, talked with us about his victory in the Agro Code hackathon, shared his impressions of the programme, and explained why he plans to pursue computer vision in the future.

Nov

2020

‘I Found Almost All of the Materials I Needed to Prep for the Interview in the Master’s Programme Courses’

As a student of the first cohort of the HSE Master of Data Science online programme, Alexey Babenkov not only gained new knowledge but also used that knowledge to find a new job. He told HSE News Service how his online studies are organised, described the advantages of remote learning and explained which courses are especially useful.

Feb

2020

An article by members of the Linguistic Convergence Laboratory was published in the journal “Language variation and change”

From a northern village to an academic article, or How many linguists do you need to describe variation in Russian dialect?

Sep

2016

Thank You for Choosing HSE!

Several HSE instructors recognized as ‘the best’ in their fields would like congratulate students with the start of academic year and hope that they don’t give in to procrastination, take advantage of all opportunities available at HSE, have a good sleep before exams at least once, and remember that teachers are humans too!