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
- Kosov E & Tikhonov S 2025, 'Sampling discretization in Orlicz spaces', JFA, 289 - 7 - 110971.
- Domínguez O, Li YQ, Tikhonov S, Yang DC & Yuan W 2025, 'New approach ..', Math. Ann., vol. 392, pp 3319-3366
- Ganzburg MI, Saucedo M & Tikhonov S 2025, 'Bernstein..', JFAA, vol. 31, 33.
- Dyachenko M, Stepanov VD & Tikhonov S 2025, 'Fourier..', JMAA, 543 - 2 -128940.
- Saucedo M & Tikhonov S 2025, ‘Note on Fourier inequalities’, Nonl. An., vol. 261, 113896.
Selected research activities
- Editorial: JMAA, JFAA, Analysis Math, Advances in Operator Theory, Rendiconti del Circolo Matematico di Palermo
- Main organizer of the Research program ``Modern trends in Fourier Analysis'', CRM, May-June
- Main organizer of the conference ``Sobolev Inequalities and Related Topics'', CUNEF, Madrid
- Invited Researcher at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa
- Talks in Astana, Beijing, Ghent, Pisa