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Konstantin Dyakonov

Konstantin Dyakonov

Universitat de Barcelona

Experimental Sciences & Mathematics

Born on 30 May 1964 in Leningrad, USSR (=St. Petersburg, Russia). Graduated from Leningrad State University in 1986. PhD in Mathematics from St. Petersburg State University, 1991. Previous long-term positions: - Institute of Analysing Devices, Leningrad, USSR (1986-1989), researcher; - St. Petersburg University of Electrical Engineering, St. Petersburg, Russia, assistant professor (1989-1992) and then associate professor (1992-1998) in the Department of Mathematics; - Universidad de La Laguna, Tenerife, Spain (1996-1997), visiting professor; - Universitat de Barcelona, Spain (1999-2001), visiting research fellow; - Steklov Institute of Mathematics, St. Petersburg Branch (POMI), St. Petersburg, Russia (1998-2007), senior researcher; - Universitat de Barcelona, Spain (2003-2006), Ramón y Cajal researcher. Prizes: Young Scientist Award in the area of Mathematics from Academia Europaea (for fSU researchers), 1998.


Research interests

Most of my research is devoted to spaces of analytic functions of a complex variable. Typically, the functions live on the unit disk and are well-behaved, in a sense, near/on its boundary, the unit circle. Various specific interpretations of “well-behaved”, such as a natural growth restriction or some kind of boundary smoothness, give rise to important function spaces with nice properties, and I have studied some of these. I am also concerned with certain types of linear operators (e.g., the so-called Toeplitz and Hankel operators) acting on such spaces.

Selected publications

– Dyakonov KM 2021, ‘Lacunary polynomials in L^1: Geometry of the unit sphere‘, Advances in Mathematics, vol. 381, 107607, 24 pp.

– Dyakonov KM 2021, ‘A Rudin–de Leeuw type theorem for functions with spectral gaps‘, Comptes Rendus Mathématique, vol. 359, no. 7, pp. 797-803.


Selected research activities

* Editorial boards: Journal of Function Spaces, Proceedings of the Institute of Applied Mathematics and Mechanics (NAS of Ukraine).

* A number of talks (some of them online) at various conferences and seminars in Russia, UK, France, Belgium, Portugal and Spain.

* Advanced minicourse “Geometry of the unit ball in various holomorphic spaces”, delivered online at the Leonhard Euler International Mathematics Institute (St. Petersburg, Russia).

* Problem solving classes in Mathematical Analysis, taught at the UB in September-December 2021.

* Functional Analysis and PDE, a graduate course taught at the UB (as part of Master’s Programme in Advanced Mathematics) in September-December 2021.

* Served as referee for a number of mathematical journals, such as J. Funct. Anal., Studia Math., St. Petersburg Math. J., etc.

ICREA Memoir 2021