Доцент кафедры нелинейной динамики 
Кандидат физико-математических наук
E-mail: s.igonin@uniyar.ac.ru

Окончил математический факультет Ярославского государственного университета им. П.Г.
Демидова по направлению «Математика», 2000 г.
Получил научную степень «PhD по математике» (University of Twente, Нидерланды, 2003 г.),
признаваемую в РФ как степень «кандидат физико-математических наук».
Область научных интересов: интегрируемые системы дифференциальных и разностных
уравнений; алгебры Ли, группы Ли, алгебраические многообразия, связанные с
дифференциальными и разностными уравнениями; симметрии, законы сохранения,
представления Лакса, преобразования Бэклунда, гамильтоновы структуры для
дифференциальных и разностных уравнений

Преподаваемые дисциплины
1. Алгебра и геометрия
2. Концепции современного естествознания
3. Алгебраические и геометрические методы исследования дифференциальных и разностных
уравнений

Основные публикации
1. S. Igonin. Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations. Journal of Geometry and Physics, 216 (2025), 105585. 

2. E. Chistov, S. Igonin. On matrix Lax representations and constructions of Miura-type  transformations for differential-difference equations. Partial Differential Equations in Applied Mathematics, 13 (2025), 101014.

3. S. Igonin. Simplifications of Lax pairs for differential-difference equations by gauge transformations and (doubly) modified integrable equations. Partial Differential Equations in Applied Mathematics, 11 (2024), 100821. 

4. S. Igonin, S. Konstantinou-Rizos. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. Journal of Physics A: Mathematical and Theoretical, 56 (2023), 275202.

5. S. Igonin, S. Konstantinou-Rizos. Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. Journal of Physics A: Mathematical and Theoretical, 55 (2022), 405205.

6. S. Igonin. Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability. Theoretical and Mathematical Physics, 212 (2022), 1116-1124.

7. S. Igonin, V. Kolesov, S. Konstantinou-Rizos, M.M. Preobrazhenskaia. Tetrahedron maps, Yang Baxter maps, and partial linearisations. Journal of Physics A: Mathematical and Theoretical, 54 (2021), 505203.

8. V.M. Buchstaber, S. Igonin, S. Konstantinou-Rizos, M.M. Preobrazhenskaia. Yang-Baxter maps, Darboux transformations, and linear approximations of refactorisation problems. Journal of Physics A: Mathematical and Theoretical, 53 (2020), 504002.

9. S. Igonin, G. Manno. On Lie algebras responsible for integrability of (1+1)-dimensional scalar evolution PDEs. Journal of Geometry and Physics, 150 (2020), 103596.

10. S. Igonin, G. Manno. Lie algebras responsible for zero-curvature representations of scalar evolution equations. Journal of Geometry and Physics, 138 (2019), 297-316.

11. G. Berkeley, S. Igonin. Miura-type transformations for lattice equations and Lie group actions associated with Darboux-Lax representations. Journal of Physics A: Mathematical and Theoretical, 49 (2016), 275201.

12. S. Igonin, M. Marvan. On construction of symmetries and recursion operators from zero- curvature representations and the Darboux-Egoroff system. Journal of Geometry and Physics, 85 (2014), 106-123. 13. S. Igonin, J. van de Leur, G. Manno, V. Trushkov. Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves. Journal of Geometry and Physics, 68 (2013), 1-26.

14. S. Igonin. Coverings and fundamental algebras for partial differential equations. Journal of Geometry and Physics, 56 (2006), 939-998. 

15. S. A. Igonin. Miura type transformations and homogeneous spaces. Journal of Physics A:  Mathematical and General, 38 (2005), 4433-4446.

16. S. Igonin, P. Kersten, I. Krasilshchik. On symmetries and cohomological invariants of equations possessing flat representations. Differential Geometry and its Applications, 19 (2003), 319-342.

17. S. Igonin, R. Martini. Prolongation structure of the Krichever-Novikov equation. Journal of Physics A: Mathematical and General, 35 (2002), 9801-9810. 18. S. Igonin. Conservation laws for multidimensional systems and related linear algebra problems. 
Journal of Physics A: Mathematical and General, 35 (2002), 10607-10617.