CURRICULUM VITAE of ANTON BARANOV. Anton Baranov DATE and PLACE of BIRTH: April 11, 1977, Leningrad (St. Petersburg), Russia

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1 CURRICULUM VITAE of ANTON BARANOV NAME: Anton Baranov DATE and PLACE of BIRTH: April 11, 1977, Leningrad (St. Petersburg), Russia CITIZENSHIP: Russian citizen INSTITUTE ADDRESS: Department of Mathematics and Mechanics, St. Petersburg State University, 28, Universitetskii prosp., Petrodvorets, , Russia EDUCATION and THESIS: Graduated (with Honours Diploma) from St. Petersburg State University, Department of Mathematics and Mechanics, Chair of Mathematical Analysis (1999) Candidate in Mathematics and Physics (Ph.D) from St. Petersburg Branch of Steklov Mathematical Institute of Russian Academy of Sciences (2003) Thesis title: Estimates of differentiation and embedding operators in the de Branges spaces and shift-coinvariant subspaces (Thesis Adviser Prof. V.P. Havin) PhD in Mathematics from University of Bordeaux, France (2005) Thesis title: Linear operators in shift-coinvariant subspaces (Thesis Adviser Prof. N.K. Nikolski) Doctor of Science (Habilitation) from St. Petersburg Branch of Steklov Mathematical Institute of Russian Academy of Sciences (2011) FIELDS of SPECIALITY: Complex Analysis, Harmonic Analysis, Operator Theory PRESENT APPOINTMENT: Full professor, Department of Mathematics and Mechanics, St. Petersburg State University (since 2012) PREVIOUS APPOINTMENTS: Associate professor, Department of Mathematics and Mechanics, St. State University ( ) Petersburg Postdoctoral position at Institute of Mathematics, Royal Institute of Technology (KTH), Stockholm ( ) Assistant professor, Department of Mathematics and Mechanics, St. State University ( ) Petersburg

2 AWARDS, GRANTS AND FELLOWSHIPS: Young Mathematician Prize of Saint Petersburg Mathematical Society (2004) Abramov Prize of Saint Petersburg Mathematical Society (2008) Russian Ministry of Education Grant E ( ). French Government Fellowship for participation in Collaboration program Thèse en cotutelle between St. Petersburg State University and University Bordeaux 1, France ( ). Göran Gustafsson postdoctoral fellowship, Royal Institute of Technology (KTH), Stockholm ( ). Russian Foundation for Basic Research (RFBR) Grant ( ). Russian Foundation for Basic Research (RFBR) Grant ( ). Grant of the President of Russian Federation for Young Scientists MK ( ) Grant of the President of Russian Federation for Young Scientists MK ( ). Russian Foundation for Basic Research (RFBR) Grant ANF ( ), joint with Austrian Science Foundation (FWF) for cooperation with Technische Universität, Vienna. Russian Science Foundation grant Invited speaker (section Analysis and PDE ) at 7th European Congress of Mathematics in Berlin, July VISITING POSITIONS/RESEARCH PROGRAMS: Invited Professor (1 month), University of Provence, January February 2007 Research Program Complex Analysis and Spectral Problems, CRM, Barcelona, February June 2011 (1 month visit in May June 2011) Research Program Operator Related Function Theory and Time-Frequency Analysis, Center for Advanced Study, Norwegian Academy of Sciences, Oslo, September 2012 May 2013 (3 week visit in October 2012) Invited Professor (1 month), University Paris-Est Marne-la-Vallée, January February 2013 Invited Professor (1 month), University Paris-Est Marne-la-Vallée, March 2014 Invited Researcher CNRS (3 months), University Bordeaux 1, June August 2014 SERVICES: Managing editor for Algebra i Analiz (Saint Petersburg Mathematical Journal) since 2008 Editor of Ufa Mathematical Journal since 2014 Co-editor of Linear and Complex Analysis (a collection of papers dedicated to V.P. Havin on the Occasion of His 75th Birthday), American Mathematical Society, 2009

3 Co-editor of the section De Branges Spaces of the Springer Reference on Operator Theory (jointly with H. Woracek) Reviewer for major journals (Adv. Math., Indiana Univ. Math. J., J. Funct. Anal., J. Math. Anal. Appl., J. Approx. Theory, J. Oper. Theory, Integr. Equat. Oper. Theory, Proc. AMS, etc.) Organization of a special session Approximation and related problems (jointly with K. Fedorovskiy) at the conference 26th Nordic and 1st European-Nordic Congress of Mathematicians, Lund University, Sweden, June 2013 Organization of the international conference Complex Analysis and Related Topics, Steklov Mathematical Institute, St. Petersburg, April 2014 (member of Scientific and Organizing committees) conference/ Organization of the workshop and winter school Spaces of Analytic Functions and Singular Integrals (SAFSI2014), Steklov Mathematical Institute, St. Petersburg, 1 5 December PUBLICATIONS: 1. Differentiation in the Branges spaces and embedding theorems, Probl. Mat. Anal. 19 (1999), 27 68; English transl. in J. Math. Sci. 101 (2000), Isometric embeddings of the spaces K Θ in the upper half-plane, Probl. Math. Anal. 21 (2000), 30 44; English transl. in J. Math. Sci. 105 (2001), The Bernstein inequality in the de Branges spaces and embedding theorems, Proc. St. Petersburg Math. Soc., 9 (2001), 23 53; English transl. in Amer. Math. Soc. Transl. Ser. 2, 209 (2003), Weighted Bernstein-type inequalities and embedding theorems for shiftcoinvariant subspaces, Algebra i Analiz 15 (2003), ; English transl. in St. Petersburg Math. J. 15 (2004), On estimates of the L p -norms of the derivatives in the spaces of entire functions, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 303 (2003), 5 33; English transl. in J. Math. Sci. 129 (2005), On perturbations of the group of shifts on the line by unitary cocycles (with G.G. Amosov), Proc. Amer. Math. Soc. 132 (2004), 11, Weighted Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings, J. Funct. Anal. 223 (2005), 1,

4 8. Stability of bases and frames of reproducing kernels in model spaces, Ann. Inst. Fourier (Grenoble) 55 (2005), 7, Interior compact subspaces and differentiation in model subspaces, Zap. Nauchn. Semin. POMI 327 (2005), 17-24; English transl. in Journal of Mathematical Sciences 139 (2006), 2, Polynomials in the de Branges spaces of entire functions, Arkiv for Matematik 44 (2006), 1, On L 1 -norms of meromorphic functions with fixed poles, Proceedings of American Mathematical Society 134 (2006), 10, On dilations of contractive cocycles and cocyclic perturbations of the group of shifts on the line (with G.G. Amosov), Mathematical Notes 79 (2006), 1, On dilations of contractive cocycles and cocyclic perturbations of the group of shifts on the line, II (with G.G. Amosov), Mathematical Notes 79 (2006), 5, Completeness and Riesz bases of reproducing kernels in model subspaces, International Mathematics Research Notices, vol.2006, Article ID 81530, 34 pages, Subspaces of de Branges spaces with prescribed growth (with H. Woracek), Algebra i Analiz 18 (2006), 5, 23 45; English transl. in St. Petersburg Math. J. 18 (2007). 16. Admissible majorants for model subspaces, and arguments of inner functions (with V.P. Havin), Funktsionalnyi Analiz i Ego Prilozheniya 40 (2006), ; English transl. in Functional Analysis and Applications 40 (2006). 17. Admissible majorants for meromorphic functions with fixed poles (with A.A. Borichev and V.P. Havin), Indiana University Mathematics Journal 56 (2007), 4, Boundary properties of Green functions in the plane (with H. Hedenmalm), Duke Mathematical Journal, 145 (2008), 1, Finite-dimensional de Branges subspaces generated by majorants (with H. Woracek), Operator Theory: Advances and Applications, 188 (2008), Subspaces of de Branges spaces generated by majorants (with H. Woracek), Canadian Journal of Mathematics, 61 (2009), 3, Embeddings of model subspaces of the Hardy space: compactness and Schatten von Neumann ideals, Izvestia Mathematics, 73 (2009), 6,

5 22. Weighted norm inequalities for de Branges Rovnyak spaces and their applications (with E. Fricain and J. Mashreghi), American Journal of Mathematics, 132 (2010), 1, Majorization in de Branges spaces I. Representability of subspaces (with H. Woracek), Journal of Functional Analysis, 258 (2010), 8, Majorization in de Branges spaces. III. Division by Blaschke products (with H. Woracek), Saint Petersburg Mathematical Journal 21 (2010), 6, Bounded symbols and Reproducing Kernel Thesis for truncated Toeplitz operators (with I. Chalendar, E. Fricain, J. Mashreghi, D. Timotin), Journal of Functional Analysis, 259 (2010), 10, On perturbations of the isometric semigroup of shifts on the semiaxis (with G.G. Amosov, V.V. Kapustin), Saint Petersburg Mathematical Journal 22 (2011), 4, Majorization in de Branges spaces II. Banach spaces generated by majorants (with H. Woracek), Collectanea Mathematica 62 (2011), 1, The Feichtinger conjecture for reproducing kernels in model subspaces (with K.M. Dyakonov), Journal of Geometric Analysis, 21 (2011), 2, Symbols of truncated Toeplitz operators (with R. Bessonov, V. Kapustin), Journal of Functional Analysis 261 (2011), 12, Systems of reproducing kernels and their biorthogonal: completeness or incompleteness? (with Yu. Belov), International Mathematics Research Notices (2011), Vol. 2011, 22, Boundary regularity of Nevanlinna domains and univalent functions in model subspaces (with K.Yu. Fedorovskiy), Sbornik: Mathematics, 202 (2011), 12, A restricted shift completeness problem (with Yu. Belov, A. Borichev), Journal of Functional Analysis, 263 (2012), On applications of the model spaces to the construction of cocyclic perturbations of the semigroup of shifts on the semiaxis (with G.G. Amosov, V.V. Kapustin), Ufa Mathematical Journal 4 (2012), 1, Hereditary completeness for systems of exponentials and reproducing kernels (with Yu. Belov, A. Borichev), Advances in Mathematics 235 (2013),

6 35. A Bernstein-type inequality for rational functions in weighted Bergman spaces (with R. Zarouf), Bulletin des Sciences Mathematiques 137 (2013), 4, De Branges theorem on approximation problems of Bernstein type (with H. Woracek), Journal of the Institute of Mathematics of Jussieu 12 (2013), 4, Recent developments in spectral synthesis for exponential systems and for nonself-adjoint operators (with Yu. Belov, A. Borichev, D. Yakubovich), Recent Trends in Analysis, Proceedings of the conference in honor of Nikolai Nikolski, Theta Foundation, Bucharest, 2013, ISBN: , pp Quotient representations of inner functions (with D. Sarason), Recent Trends in Analysis, Proceedings of the conference in honor of Nikolai Nikolski, Theta Foundation, Bucharest, 2013, ISBN: , pp A model space approach to some classical inequalities for rational functions (with R. Zarouf), Journal of Mathematical Analysis and Applications 418 (2014), 1, Localization of zeros for Cauchy transforms (with E. Abakumov, Yu. Belov), International Mathematics Research Notices, 2015 (2015), 15, Sampling, interpolation and Riesz bases in the small Fock spaces (with A. Dumont, A. Hartmann, K. Kellay), Journal de Mathématiques Pures et Appliquées, 103 (2015), 6, One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum (with D.V. Yakubovich), Journal of Mathematical Analysis and Applications, 424 (2015), 2, On S. Grivaux example of a hypercyclic rank one perturbation of a unitary operator (with A. Lishanskii), Archiv der Mathematik, 104 (2015), 3, Spectral synthesis in de Branges spaces (with Yu. Belov, A. Borichev), Geometric and Functional Analysis (GAFA) 25 (2015), 2, Subspaces of C invariant under the differentiation (with A. Aleman, Yu. Belov), Journal of Functional Analysis, 268 (2015), 8, Density of certain polynomial modules (with J.J. Carmona, K.Yu. Fedorovskiy), accepted in Journal of Approximation Theory. 47. On L 1 -estimates of derivatives of univalent rational functions (with K.Yu. Fedorovskiy), accepted in Journal d Analyse Mathématique.

7 SELECTED PRESENTATIONS: Differentiation in the de Branges spaces of entire functions Journées d Analyse Fonctionelle et Harmonique (Orleans, November 2000) Weighted Bernstein-type inequalities for coinvariant subspaces of the shift operator, 11th St. Petersburg Summer meeting in Mathematical Analysis (Euler International Mathematical Institute, St. Petersburg, August 2002) Bernstein s inequality in the de Branges spaces and in model subspaces, Spaces of Analytic Functions and Their Operators (CIRM, Marseille, October 2002) On embedding theorems for shift-coinvariant subspaces, Third Conference of the European Research Network Analysis and Operators (Tenerife, Spain, May 2003) Stability of bases and frames of reproducing kernels in the model subspaces, 12th St. Petersburg Summer meeting in Mathematical Analysis (Euler International Mathematical Institute, St. Petersburg, August 2003) Majorants for meromorphic functions with fixed poles, 13th St. Petersburg Summer meeting in Mathematical Analysis (Euler International Mathematical Institute, St. Petersburg, August 2004) Stability of bases and frames of reproducing kernels in the model subspaces, Amer. Math. Soc. Meeting (Mainz, Germany, June 2005) Admissible majorants for model subspaces (invited talk), Spaces of Analytic Functions and Their Operators (CIRM, Marseille, June 2006) Admissible majorants and subspaces of de Branges spaces, MathESTIA (Biarritz, France, April 2007) Majorants for model subspaces and de Branges-Clark bases of reproducing kernels (invited talk, 45 minutes), Journées Complexes du Sud (CIRM, Marseille, May 2008) Feichtinger conjecture for reproducing kernels of model spaces (invited talk, 30 minutes), Modern Complex Analysis and Operator Theory and Applications, IV (El Escorial, Spain, June 2009) Feichtinger conjecture for reproducing kernels of model spaces (invited talk, 30 minutes), Workshop Operator theory and its applications (Edinburgh, September 2009) Model subspaces of the Hardy space (a lecture course, 3 lectures of 50 minutes), Seventh Advanced Course in Operator Theory and Complex Analysis, (El Puerto de Santa Maria, Spain, June 2010). Truncated Toeplitz operators: existence of bounded symbols (invited talk, 50 minutes), Operator Theory and Harmonic Analysis (Oberwolfach, November 2010). Systems of reproducing kernels and their biorthogonal: completeness or incompleteness? (invited talk, 50 minutes), Workshop in Operator Theory and Complex Analysis (Lyon, November 2010). Subspaces of de Branges spaces generated by majorants (invited talk, 50 minutes), Workshop Hilbert Spaces of Entire Functions and Spectral Theory of Self-Adjoint Differential Operators (CRM, Barcelona, June 2011).

8 Completeness of rank one perturbations of selfadjoint operators (invited talk, 40 minutes), Operator Related Function Theory (Erwin Schroedinger International Institute for Mathematical Physics, Vienna, March 2012) Spectral theory of rank one perturbations of selfadjoint operators (invited talk, 50 minutes), 6th St. Petersburg Conference in Spectral Theory (Euler International Mathematical Institute, St. Petersburg, July 2014) Strong M-bases of reproducing kernels and spectral theory of rank-one perturbations of selfadjoint operators (invited session talk, 25 minutes), International Workshop in Operator Theory and Applications (IWOTA 2014) (VU University, Amsterdam, July 2014) Strong M-bases of reproducing kernels and spectral theory of rank-one perturbations of selfadjoint operators (invited talk, 45 minutes), Function Spaces and Harmonic Analysis (Centre International de Rencontres Mathématiques, Marseille, France, October 2014) Spectral synthesis in the space of infinitely differentiable functions (invited talk, 60 minutes), Recent trends in Operator Theory and Function Theory (Lille, June 2015) SEMINAR TALKS: Seminar in Analysis, Lund University, Sweden (February 2000) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (November 2000) Seminar in Analysis, Math. Dept. of Norwegian University of Science and Technology, Trondheim (February 2001) Seminar in Analysis, Math. Dept. of Laval University, Quebec, Canada (November 2002), Seminar in Analysis, Math. Dept. of McGill University, Montreal, Canada (November 2002), Seminar in Analysis and its Applications, Royal Institute of Technology, Stockholm (February 2004) Seminar in Functional Analysis, Université Paris VI (May 2004) Seminar in Analysis, Math. Dept. of University of Barcelona (June 2004) Seminar in Analysis, Technische Universität, Vienna (June 2005) Seminar in Analysis, Lund University, Sweden (October 2005) Seminar in Complex Analysis, Chalmers University, Göteborg, Sweden (April 2006) Seminar in Analysis, Technische Universität, Vienna (April 2006) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (June 2006) Seminar in Functional Analysis, Université Paris VI (February 2007)

9 Seminar in Analysis, Université de Provence, Marseille (February 2007) Seminar in Analysis, Université de Provence, Marseille (May 2008) Seminar in Analysis, Lund University, Sweden (June 2008) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (December 2009) Seminar in Functional Analysis, Université Paris VI (December 2009) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (June 2010) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (June 2012) Seminar in Analysis, Université de Provence, Marseille (June 2012) Seminar of the research program Operator Related Function Theory and Time- Frequency Analysis (Center for Advanced Study, Norwegian Academy of Sciences, Oslo, October 2012) Seminar in Analysis, Université de Lille (February 2013) Seminar in Functional Analysis, Université Paris VI (February 2013) Seminar in Analysis, Université de Provence, Marseille (February 2013) Seminar in Analysis and Operator Theory, Université Bordeaux 1, France (March 2014) Seminar in Functional Analysis, Université Paris VI (March 2014) INTERNATIONAL COOPERATION PARTNERS: Eugueny Abakoumov, Université Paris-Est Marne-la-Vallée, France Alexandru Aleman, Lund University, Sweden Alexander Borichev, Université de Provence, Marseille, France Isabelle Chalendar, Université de Lyon, France Emmanuel Fricain, Université de Lille, Lille, France Andreas Hartmann, Université Bordeaux 1, France Haakan Hedenmalm, Royal Institute of Technology, Stockholm, Sweden Karim Kellay, Université Bordeaux 1, France Javad Mashreghi, Université Laval, Quebec, Canada Donald Sarason, University of California, Berkeley, USA Dan Timotin, Institute of Mathematics of the Romanian Academy, Bucharest, Romania Harald Woracek, Technische Universität, Vienna, Austria Dmitry Yakubovich, Universidad Autónoma de Madrid, Madrid, Spain Rachid Zarouf, Université de Provence, Marseille, France