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Igonin, Sergei

Researcher
PhD
Birth date: 22.01.1978
   
Main publications:
  1. S. Igonin and G. Manno, “Lie algebras responsible for zero-curvature representations of scalar evolution equations”, Journal of Geometry and Physics, 138 (2019), 297–316
  2. G. Berkeley and 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, 43 pp.
  3. S. Igonin, J. van de Leur, G. Manno, and 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
  4. S. Igonin, “Coverings and fundamental algebras for partial differential equations”, Journal of Geometry and Physics, 56 (2006), 939–998
  5. S. A. Igonin, “Miura type transformations and homogeneous spaces”, Journal of Physics A: Mathematical and General, 38 (2005), 4433–4446

https://www.mathnet.ru/eng/person12615
https://scholar.google.com/citations?user=tDacXrIAAAAJ&hl=en
https://zbmath.org/authors/ai:igonin.sergei
https://mathscinet.ams.org/mathscinet/MRAuthorID/657893
https://orcid.org/0000-0002-2066-0490
https://www.webofscience.com/wos/author/record/E-8682-2019
https://www.scopus.com/authid/detail.url?authorId=6603452700
https://www.researchgate.net/profile/Sergei_Igonin
https://arxiv.org/a/igonin_s_1

Publications in Math-Net.Ru Citations
2022
1. S. Igonin, “Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability”, TMF, 212:2 (2022),  263–272  mathnet  mathscinet; Theoret. and Math. Phys., 212:2 (2022), 1116–1124  scopus 1
2020
2. V. M. Buchstaber, S. Igonin, S. Konstantinou-Rizos, M. M. Preobrazhenskaia, “Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems”, J. Phys. A, 53:50 (2020), 504002, 22 pp.  mathnet  mathscinet  isi  scopus 9
2003
3. S. A. Igonin, “Horizontal cohomology with coefficients and non-linear zero-curvature representations”, Uspekhi Mat. Nauk, 58:1(349) (2003),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:1 (2003), 180–182  isi  scopus 3
1999
4. V. L. Dol'nikov, S. A. Igonin, “Theorems of Helly–Gallai's type”, Fundam. Prikl. Mat., 5:4 (1999),  1209–1226  mathnet  mathscinet  zmath 1

Presentations in Math-Net.Ru
1. Algebra and geometry of Lax representations and Bäcklund transformations for (1+1)-dimensional partial differential and differential-difference equations
S. Igonin
Cohomological geometry of differential equations
December 29, 2021 19:20   
2. Преобразования Бэклунда для $(1+1)$-мерных интегрируемых систем: их алгебра, геометрия и приложения
S. Igonin

August 10, 2021 17:30

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