I graduated from the Lomonosov Moscow State University in 1999 and obtained the PhD degree in Mathematics from MSU in 2003. From September 2012, I am an ICREA Research Professor at the Centre de Recerca Matemàtica.
2003: PhD in Mathematics, Lomonosov Moscow State University, Moscow.
2004-2006: Marie Curie Fellow at CRM, Barcelona.
2006-2008: Post-doctoral Fellow at the Scuola Normale Superiore, Pisa.
2008-September 2012: ICREA Researcher at CRM, Barcelona.
2009: ISAAC Award.
2012: ICREA Research Professor at CRM, Barcelona.
2013: Humboldt Research Fellowship for Experienced Researchers.
My research mainly deals with Fourier Analysis and Approximation Theory. Particularly, I study the relationship between "smoothness" of a function and a possibility to approximate or to represent this function by a sum of "simple" functions. The case when "simple" functions have wave structure is of special interest.
Currently my main interests include:
- Harmonic Analysis: Fourier series/transforms; Function spaces; Embedding theorems; (Singular) Integral operators; Weights
- Approximation theory: Discretization, Polynomial approximation, Polynomial inequalities and applications, Orthogonal polynomials, Moduli of smoothness, K-functionals
- Real Analysis: General monotone functions and sequences, Hardy-type inequalities