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. 2021: Friedrich Wilhelm Bessel research prize
Research interests
My main research areas are Fourier Analysis and Approximation Theory. Particularly, I study the relationship between "smoothness" of a function and the 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.
Selected publications
- Dominguez O & Tikhonov S 2022, ‘New estimates for the maximal functions and applications’, Tran. Amer. Math. Soc., vol. 375, no. 6, pp 3969-4018.
- Dyachenko M & Tikhonov S 2022, ‘Piecewise GM functions and Hardy--Littlewood theorem’, Proc. Steklov Inst. Math. vol. 319. pp 110-123.
Selected research activities
Honors and Awards: Simons Visiting Professor
Conference talks: Function Spaces and Applications, Apolda, Germany;
Complex Analysis, Spectral Theory and Approximation meet in Linz, Austria;
Workshop on Harmonic analysis, Singular Integrals and PDEs, Bonn, Germany
Colloquium: University of Alberta, Canada
Seminar talk: Quebec Analysis seminar, Montreal, S eminaire d'Analyse Harmonique, Montreal, Seminar on Function Spaces, Jena
Member of Editorial boards: Advances in Operator Theory, Analysis Mathematica, Journal of Fourier Analysis and Applications, Journal of Mathematical Analysis and Applications, Demonstratio Mathematica, Jaen Journal on Approximation, Bulletin of Mathematical Analysis and Applications.