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 2018, 'Remembering Victor Petrovich Havin', In: Baranov A, Kisliakov S & Nikolski N (eds) '50 Years with Hardy Spaces', pp. 75-80, Operator Theory: Advances and Applications, vol. 261, Birkhäuser, Cham.

- Dyakonov KM 2018, 'A free interpolation problem for a subspace of H-infinity', Bulletin of the London Mathematical Society, vol. 50, no. 3, 477-486.

- Dyakonov KM 2018, 'Interpolating by functions from model subspaces in $H^1$', Integral Equations and Operator Theory, Vol. 90, No. 4, Art. 42, pp. 1-7.

Selected research activities

* Problem solving classes in Complex Analysis, taught at the UB in February-May 2018.

* Problem solving classes in Mathematical Analysis, taught at the UB in September-December 2018. 

* Problem solving classes in Introduction to Differential Calculus, taught at the UB in September-December 2018.

* Editorial boards: Journal of Complex Analysis (Hindawi Publ. Corp.), Journal of Function Spaces (Hindawi Publ. Corp.), Abstract and Applied Analysis (Hindawi Publ. Corp.), Applied Mathematics (Sci. Res. Publ.).

* A number of invited talks at various conferences and seminars in Russia, France and Spain. 

* Coordinator on behalf of the UB Complex Analysis group for the Spanish research network "Variable compleja, espacios de funciones y operadores entre ellos" (until September 2018).

* Member of the jury for a PhD defense held at the UAB. 

* Served as referee for a number of mathematical journals.