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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