Leading specialist of the Moscow Center of Fundamental and Applied Mathematics

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Keywords: one-parameter semigroups, infinitesimal generator, Koenigs Function, domains of univalence of holomorphic maps, fixed points, angular derivative.

Education:

→ 2000-2005 – Volgograd State University;

→ 2010-2013 – graduate school of the Department of Mathematical Analysis and Theory of Functions, Volgograd State University, advisor Prof. V.V. Goryainov;

→ 2013 – PhD Thesis "Semigroups of holomorphic maps with given fixed points" (Kazan State University).

Research Interests:

Geometric theory of functions of a complex variable.

Teaching:

Teacher of mathematical analysis, complex analysis.

Publications (recent):

2023

→ V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, "Estimate for domain of univalence on the class of holomorphic self-maps of a disc with two boundary fixed points", Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 96–101, DOI.

→ O. S. Kudryavtseva, A. P. Solodov, "Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points", Math. Notes, 113:5 (2023), 694–699, DOI.

→ O. S. Kudryavtseva, "Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points", Izv. Vyssh. Uchebn. Zaved. Mat., 5 (2023), 48–57, DOI.

2022

→ V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, "Iterations of holomorphic mapc, fixed points, and univalence domains", Uspekhi Mat. Nauk, 77:6(468) (2022), 3–68, DOI.

→ O. S. Kudryavtseva, A. P. Solodov, "Generalization of the Landau and Becker–Pommerenke inequalities", Dokl. Math. 106 (2022), 251–253, DOI.

→ O. S. Kudryavtseva, A. P. Solodov, "An inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points", Uspekhi Mat. Nauk, 77:1 (463) (2022), 187–188, DOI.

2021

→ O. Kudryavtseva, A. Solodov, "On the Boundary Dieudonné–Pick Lemma", Mathematics, 9:10 (2021), 1108, DOI.

→ O.S. Kudryavtseva, "Schwarz's Lemma and Estimates of Coefficients in the Case of an Arbitrary Set of Boundary Fixed Points", Math. Notes, 109:4 (2021), 653–657, DOI.

2020

→ O.S. Kudryavtseva, A.P. Solodov, "Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter", Sb. Math., 211:11 (2020), 1592—1611, DOI.

2019

→ O.S. Kudryavtseva, A.P. Solodov, "Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter", Russian Math., 63:7 (2019), 80–83, DOI.

→ O.S. Kudryavtseva, A.P. Solodov, "Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points", Sb. Math., 210:7 (2019), 1019–1042, DOI.

2017

→ O.S. Kudryavtseva, "Analog of the Löwner–Kufarev Equation for the Semigroup of Conformal Mappings of the Disk into Itself with Fixed Points and Invariant Diameter", Math. Notes, 102:2 (2017), 289–293, DOI.