CURRICULUM VITAE. Peter Yuditskii (Petro Yudytskiy)

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1 CURRENT POSITION CURRICULUM VITAE Peter Yuditskii (Petro Yudytskiy) Leader of the Group Dynamical Systems and Approximation Theory Institute for Analysis J. Kepler University of Linz, Austria MAILING ADDRESS Peter Yuditskii Institute for Analysis J. Kepler University of Linz A-4040 Linz, Austria Ph.: +43/732/ , E mail: Petro.Yudytskiy@jku.at PREVIOUS POSITIONS Associate Professor Department of Mathematics Bar Ilan University, Israel (left for the family reason on June July 2006) Associate Professor Department of Mathematics Michigan State University East Lansing, USA January 2000 July 2003, Fall Semester 2008 EDUCATION Mathematics Ph.D November, 1987 Kharkov State University, Kharkov, USSR Thesis: Functional models and generalized interpolation. Diploma in Mathematics 1978 Kharkov State University, Kharkov, USSR 1

2 AWARDS AND GRANTS Kharkov Mathematical Society Prize for Young Mathematicians, 1987 (joint with A. Kheifets); Institute for Low Temperature Physics and Engineering Research Prize, 1991 Soros Grant, 1993 ISF (International Science Foundation) Grants # U2Z000 (1994), U2Z200 (1995) participation in INTAS (1993), INTAS (1994) Austrian Fund FWF, project # P12985-TEC (1999) Austrian Fund FWF, project # P16390-N04 ( ) Marie Curie Intl. Fellowship ( ) Contract Number: MIF1-CT Coauthor; since January 2010 Project Leader Austrian Fund FWF, project # P20413-N18 ( ) Project Leader Austrian Fund FWF, project # P22025-N18 ( ) visiting positions Weizmann Institute of Science (Rehovot, Israel), 1996 University Paris 7 (Paris, France), 1997 Johannes Kepler University of Linz (Linz, Austria), 1999 invited speaker in 11-th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Universidad Carlos III de Madrid, August 29 to September 2, 2011 Mini-courses on Hilbert spaces of entire functions and spectral theory of self-adjoint differential operators, CRM, Barcelona, 30 May - 2 June, 2011 Workshop on Orthogonal Polynomials, Hankel and Jacobi matrices, Copenhagen Operator Theory, Analysis and Mathematical Physics, ESF Mathematics Conference in Poland, Integrable Systems, Invited Minisymposia, Equadiff 2007, Austria Annual Conference of the Israel Mathematical Union,

3 AMS (Western) sectional meeting at USC, st Annual Western States Mathematical Physics Meeting, Caltech, member of Scientific and Organizing Committees Complex Analysis, Operator Theory, and Approximation, International conference dedicated to the memory of Franz Peherstorfer, July 24-29, featured reviews MR (2004j:42022) F. Peherstorfer and P. Yuditskii, Asymptotic behavior of polynomials orthonormal on a homogeneous set, J. Anal. Math. 89 (2003), MR (2000k:47033) M. Sodin and P. Yuditskii, Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions, Journ. of Geom. Analysis 7 (1997), GRADUATE STUDENTS Stanislav Kupin, Ph.D. Bordeaux, 2000 (joint with Prof. N. Nikolski). Ionela Moale, Ph.D. Linz, 2011 (joint with Prof. J. Cooper). FIELDS OF RESEARCH SPECTRAL THEORY OF FUNCTIONS AND OPERATORS AND MATHEMATICAL PHYSICS functional models of operators, analytic matrix functions extremal problems of Chebyshev type asymptotics of orthonormal polynomials spectral function theory in multiply connected domains Ruelle operators on Julia sets almost-periodic Schrödinger operators with Cantor type spectrum inverse scattering problem for operators with disconnected spectrum ACTIVE PARTICIPATION IN SCIENTIFIC MEETINGS 1. On special conformal mappings in approximation theory, 11-th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Universidad Carlos III de Madrid, August 29 to September 2, de Branges theorem on inverse monodromy problem and Hardy spaces in Widom domains, Mini-courses on Hilbert spaces of entire functions and spectral theory of self-adjoint differential operators, CRM, Barcelona, 30 May - 2 June,

4 3. Uniform approximation of sgn(x) by polynomials and entire functions, Johannes Kepler Symposium für Mathematik, Johannes Kepler Universität Linz, 11. Mai Orthogonal polynomials and polynomials of least deviation from zero on a system of intervals: similarities and differences, Workshop on Orthogonal Polynomials, Hankel and Jacobi matrices, Copenhagen, Denmark, August 26-28, Spectral/scattering theory for 1-D operators with homogeneous spectrum and beyond, Operator Theory, Analysis and Mathematical Physics, OTAMP 2008, ESF Mathematics Conference in Poland, Mathematical Research and Conference Center, Bedlewo, Poland, June The action variable is not an invariant for the uniqueness in the inverse scattering problem, Integrable Systems, Invited Minisymposia, Equadiff 2007, Vienna University of Technology, Vienna, Austria, August 5-11, CMV matrices with asymptotically constant coefficients. Szegö over Blaschke class, Scattering Theory, Orthogonal Polynomials Special Functions and Applications, 9-th OPSFA, CIRM, Luminy, France, July 2 6, Limit Periodic Jacobi Matrices with a Singular Continuous Spectrum and the Renormalization of Periodic Matrices, Operator Theory, Analysis and Mathematical Physics, OTAMP 2006, Lund, Sweden, June 15-22, Uniform approximation of sgn(x) by polynomials and entire functions, 2006 Annual Conference of the Israel Mathematical Union. Neve Ilan, May Limit Periodic Jacobi Matrices with a Singular Continuous Spectrum and the Renormalization of Periodic Matrices, Third International Conference on Complex Analysis and Dynamical Systems, January 2 6, On generalized sum rules for Jacobi matrices, Workshop on Functional Analysis, The Erwin Shrödinger International Institute for Mathematical Physics, Vienna, June Limit periodic Jacobi matrices with a prescribed p-adic hull and a singular continuous spectrum, Workshop on PDE and Harmonic Analysis, June 2005, NTNU Trondheim, Norway. 13. On generalized sum rules for Jacobi matrices, Operator Theory and Applications in Mathematical Physics (OTAMP), June Satellite conference of the European Congress of Mathematics. 14. Finite difference operators with a finite band spectrum, Analysis Seminar, Kirchschlag, Upper Austria, May

5 15. Noncommutative Bowen Ruelle theorem, two weight Hilbert transform, and pressure of polynomial maps, AMS (Western) Sectional meeting at USC (jointly with A. Volberg), April On the inverse scattering problem for Jacobi matrices, Mathematisches Kolloquium, Department of Mathematics, University of Vienna, December Szegö, Killip Simon and others, Complex Analysis and Dynamical Systems, the Second International Conference (in honor of Professor Lawrence Zalcman s 60th Birthday), June 2003, Israel. 18. Functional models for almost periodic Jacobi matrices and the Toda hierarchy, IWOTA 2002, Thirteenth International Workshop on Operator Theory and Applications, Department of Mathematics, Virginia Tech, August On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length, 21st Annual Western States Mathematical Physics Meeting, California Institute of Technology, Department of Mathematics, February A Complex Extremal Problem of Chebyshev type, Colloquium talk, Bar Ilan University, Israel, December Polynomials and entire functions deviating least from zero on closed subsets of the real axis, Colloquium talk, College of William and Mary, November On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length, International Akhiezer Centenary Conference, Theory of Functions and Mathematical Physics, Kharkov, August A Complex Extremal Problem of Chebyshev type, Colloquium talk, Kent University, May Asymptotic behavior of polynomials orthogonal on a homogeneous set, Colloquium talk, University of Missouri, October Character automorphic scattering function, functional model and asymptotic behavior of polynomials orthogonal on a homogeneous set, International Workshop on Operator Theory and its Applications, Bordeaux, June A special case of de Branges theorem on the inverse monodromy problem, Workshop on Functional Analysis, The Erwin Shrödinger International Institute for Mathematical Physics, Vienna, June

6 27. Pell s type equation in Chebyshev extremal problems, Workshop on Riemann Surface Theory with special emphasis on Theory of Theta Functions in honor of the 60 th birthday of Hershel Farkas, Institute of Mathematics, Givat Ram, Jerusalem, May Analytic perturbation preserves determinacy of infinite index, The Symposium in Memory of Boris Levin, Institute for Low Temperature Physics, Kharkov, Ukraine, September Function theory in infinitely connected domains and almost periodic operators, The Conference on Operator Theory in Honor of Moshe Livsic, Ben-Gurion University of the Negev, Beer-Sheva and Rehovot, June July Ruelle operators with rational weights for Julia sets, International Meeting on Dynamical zeta functions, CIRM, Luminy, October An analysis and extension of V.P.Potapov s approach to interpolation problems, Colloquium talk, Norwegian Institute of Technology, Trondheim, Norway, January Schwarz s lemma for rational functions, Workshop on Recent Developments in Schur Analysis held in honor of the 80th anniversary of the birth of V. P. Potapov, Leipzig University, Leipzig, August Infinite dimensional real Jacobi inversion problem and Hardy classes of character automorphic functions, Ukrainian Academy of Science Meeting (Section of Mathematics), Kiev, March Almost periodic Jacobi matrices with homogeneous spectrum, Meeting of Kharkov Mathematical society dedicated to N.I. Akhiezer, Kharkov, March Almost-periodic Sturm-Liouville operators with homogeneous spectrum, The First Ukrainian French Romanian Summer School held in Kaciveli, Ukraine, September LIST OF REFERENCES J. Ball, Department of Mathematics, Virginia Tech, Blacksburg, VA ball@mail.math.vt.edu H. Dym, Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot, Israel. dym@wisdom.weizmann.ac.il A. Eremenko, Department of Mathematics, Purdue University, West Lafayette, IN eremenko@math.purdue.edu J. Geronimo, School of Mathematics Georgia Institute of Technology Atlanta, GA geronimo@math.gatech.edu 6

7 F. Gesztesy, Department of Mathematics University of Missouri Columbia, Missouri L. Pastur, Department of Mathematics, University Paris 7, Tour 45 55, pl. Jussieu, Paris, France. B. Simon, California Institute of Technology, Pasadena, CA 91125, USA. A. Volberg, Department of Math., Michigan State University, East Lansing, MI H. Widom, Department of Mathematics, University of California Santa Cruz, CA 95064, USA. 7

CURRICULUM VITAE. Degrees: Degree Major University Year Ph.D., M.S. Mathematics California Institute of Technology June 1995

CURRICULUM VITAE. Degrees: Degree Major University Year Ph.D., M.S. Mathematics California Institute of Technology June 1995 CURRICULUM VITAE Name: Alexei Poltoratski Office Address: Department of Mathematics Texas A&M University College Station, TX 77843-3368 Room 623B, Blocker Building (979) 845-6028 (Fax) alexeip@math.tamu.edu