Nikolay L. Polyakov
- Associate Professor:Faculty of Economic Sciences / Department of Mathematics
- Nikolay L. Polyakov has been at HSE University since 2018.
Education and Degrees
- 2016
Candidate of Sciences* (PhD)
- 1992
Degree in Mathematics
Lomonosov Moscow State University
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.
Continuing education / Professional retraining / Internships / Study abroad experience
2017. Game Theory, 36 hours.
2018. The introduction of modern advanced tools in the teaching of mathematical disciplines: the use of programming language R in mathematical analysis, 24 hours.
2019. Technologies and tools for data analysis and decision making in economics and finance, 18 hours.
Courses (2023/2024)
- Calculus (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Mathematics for Economists (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Calculus 1 (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Economic Sciences; 4 year, 3 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Economic Sciences; 3 year, 3 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Economic Sciences; 2 year, 3 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Mathematics for Economists (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3, 4 module)Rus
Courses (2021/2022)
- Calculus 1 (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Mathematics for Economists (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3, 4 module)Rus
Courses (2020/2021)
- Calculus 1 (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
- Mathematics for Economists (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3, 4 module)Rus
Courses (2019/2020)
- Calculus (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1-4 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
Publications16
- Article N. L. Polyakov, Shamolin M. V. Reduction theorems in the Social Choice Theory // Journal of Mathematical Sciences. 2023. Vol. 272. No. 5. P. 667-671. doi
- Article Nikolai L. Poliakov, Saveliev D. I. On ultrafilter extensions of first-order models and ultrafilter interpretations // Archive for Mathematical Logic. 2021. Vol. 60. P. 625-681. doi
- Article N. L. Polyakov, Shamolin M. V. On Dynamic Aggregation Systems // Journal of Mathematical Sciences. 2020. Vol. 244. No. 2. P. 278-293. doi
- Article Поляков Н. Л., Шамолин М. В. Теоремы о редукции в теории коллективного выбора // Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры. 2020. Т. 174. С. 46-51.
- Article Поляков Н. Л., Шамолин М. В. О динамических системах агрегирования // Труды семинара им. И.Г. Петровского. 2019. Т. 32. С. 257-282.
- Article Polyakov N. L. Functional Galois connections and a classification of symmetric conservative clones with a finite carrier // Working papers by Cornell University. Series math "arxiv.org". 2018. P. 1-22.
- Article Nikolai L. Poliakov, Saveliev D. I. On ultrafilter extensions of first-order models and ultrafilter interpretations // Working papers by Cornell University. Series math "arxiv.org". 2018. P. 1-46.
- Chapter Polyakov N. L., Saveliev D. I. On Two Concepts of Ultrafilter Extensions of First-Order Models and Their Generalizations, in: Logic, Language, Information, and Computation. WoLLIC 2017. Lecture Notes in Computer Science Vol. 10388: Lecture Notes in Computer Science. Berlin : Springer, 2017. doi P. 336-348. doi
- Chapter Polyakov N. L. On the clonal method in CSC, in: VIII Международная конференция по математическому моделированию: тезисы докладов. Якутск : Северо-Восточный федеральный университет им. М.К. Аммосова, 2017. P. 180-180.
- Chapter Поляков Н. Л. О некотором классе недетерминированных функций общественного благосостояния // В кн.: Материалы конференции «Современная математика и концепции инновационного математического образования». М. : ООО "Издательский дом МФО", 2017. С. 212-215.
- Article Polyakov N. L. Note on level r consensus // Working papers by Cornell University. Series q-fin "arxiv.org" (США). 2016. P. 1-6.
- Article Поляков Н. Л. Функциональные соответствия Галуа для классов дискретных функций и свойство Эрроу для симметричных классов решающих правил // Интеллектуальные системы. Теория и приложения. 2016. Т. 20. № 4. С. 70-75.
- Article Polyakov N. L. On the algorithmic decidability of the square-free word problem relative to a system of two defining relations // Journal of Mathematical Sciences. 2015. Vol. 204. No. 6. P. 800-807. doi
- Chapter Поляков Н. Л. О некоторых позитивных результатах в теории коллективного выбора // В кн.: Управленческие науки в современном мире. Сборник докладов научной конференции Т. 1: Исследования предпринимательства и малого и среднего бизнеса. СПб. : ООО "Издательский Дом "Реальная экономика", 2015. С. 172-177.
- Article Polyakov N. L., Shamolin M. V. On a generalization of Arrow's impossibility theorem // Doklady Mathematics. 2014. Vol. 89. No. 3. P. 290-292. doi
- Article Поляков Н. Л., Шамолин М. В. О замкнутых симметричных классах функций, сохраняющих любой одноместный предикат // Вестник Самарского государственного университета. Естественнонаучная серия. 2013. № 6(107). С. 61-73.
Conferences
- 2023Пограничные вопросы теории моделей и универсальной алгебры (Новосибирск). Presentation: On ultrafilter extensions of some algebraic constructions and their combinatorial applications
International Conference on Topology and its Applications (Nafpaktos ). Presentation: Relations on ultrafilters between the Rudin-Keisler and Comfort preorders
International Conference on Topology and its Applications (Nafpaktos ). Presentation: Relations on ultrafiltars between the Rudin-Keisler and Comfort preorders
- 2022
ULTRAMATH 2022 (Пиза). Presentation: BETWEEN THE RUDIN–KEISLER AND COMFORT PREORDERS
XXX EUROPEAN WORKSHOP ON ECONOMIC THEORY (Варшава). Presentation: What aggregation rules can be classified as logical concepts?
- 2021
XXII Апрельская международная научная конференция по проблемам развития экономики и общества (Москва). Presentation: One a class of non-local aggregation rules
- 2019
AAA 97 - 97th Workshop on General Algebra (Vienna). Presentation: On a variant of the Rudin–Keisler preorder defined via finitary maps
Russian Workshop on Complexity and Model Theory (Москва). Presentation: Dichotomy theorem in computational social choice theory
- 2018
XIX Апрельская международная научная конференция по проблемам развития экономики и общества (Москва). Presentation: Об инвариантных и совместимых классах предпочтений без условия транзитивности
- 2017The 94th Workshop on General Algebra, in conjunction with the 5th Novi Sad Algebraic Conference (Новы Сад). Presentation: The classification of symmetric conservative clones with a finite carrier and its applications in Computational Social Choice
- 2010
International Conference on Topology and its Applications. Presentation: Relations on ultralters between the Rudin{Keisler and Comfort preorders
Employment history
1992-1993, Moscow Institute of Instrument Engineering, Department OT-9, Assistant,
2007-2011, Russian Academy of Entrepreneurship, Department of Mathematics and Natural Sciences, associate professor,
2011-2018, Financial University under the Government of the Russian Federation, Department of Mathematics, Senior Lecturer, Department of Data Analysis, Decision Making and Financial Technologies, Associate Professor